{"status":"ok","message-type":"work","message-version":"1.0.0","message":{"indexed":{"date-parts":[[2025,2,21]],"date-time":"2025-02-21T07:43:11Z","timestamp":1740123791410,"version":"3.37.3"},"reference-count":34,"publisher":"Springer Science and Business Media LLC","issue":"2","license":[{"start":{"date-parts":[[2017,5,10]],"date-time":"2017-05-10T00:00:00Z","timestamp":1494374400000},"content-version":"unspecified","delay-in-days":0,"URL":"http:\/\/www.springer.com\/tdm"}],"content-domain":{"domain":["link.springer.com"],"crossmark-restriction":false},"short-container-title":["Order"],"published-print":{"date-parts":[[2018,7]]},"DOI":"10.1007\/s11083-017-9426-3","type":"journal-article","created":{"date-parts":[[2017,5,10]],"date-time":"2017-05-10T15:21:27Z","timestamp":1494429687000},"page":"193-214","update-policy":"https:\/\/doi.org\/10.1007\/springer_crossmark_policy","source":"Crossref","is-referenced-by-count":2,"title":["The Homomorphism Lattice Induced by a Finite Algebra"],"prefix":"10.1007","volume":"35","author":[{"ORCID":"https:\/\/orcid.org\/0000-0002-1200-1989","authenticated-orcid":false,"given":"Brian A.","family":"Davey","sequence":"first","affiliation":[],"role":[{"role":"author","vocabulary":"crossref"}]},{"given":"Charles T.","family":"Gray","sequence":"additional","affiliation":[],"role":[{"role":"author","vocabulary":"crossref"}]},{"given":"Jane G.","family":"Pitkethly","sequence":"additional","affiliation":[],"role":[{"role":"author","vocabulary":"crossref"}]}],"member":"297","published-online":{"date-parts":[[2017,5,10]]},"reference":[{"key":"9426_CR1","first-page":"129","volume":"11","author":"ME Adams","year":"1985","unstructured":"Adams, M.E., Koubek, V., Sichler, J.: Homomorphisms and endomorphisms of distributive lattices. Houston J. Math. 11, 129\u2013145 (1985)","journal-title":"Houston J. Math."},{"key":"9426_CR2","doi-asserted-by":"crossref","first-page":"1177","DOI":"10.4153\/CJM-1980-089-0","volume":"32","author":"ME Adams","year":"1980","unstructured":"Adams, M.E., Sichler, J.: Cover set lattices. Canad. J. Math. 32, 1177\u20131205 (1980)","journal-title":"Canad. J. Math."},{"key":"9426_CR3","doi-asserted-by":"crossref","first-page":"241","DOI":"10.1016\/0022-1236(74)90073-1","volume":"16","author":"H Behncke","year":"1974","unstructured":"Behncke, H., Leptin, H.: Classification of C \u2217-algebras with a finite dual. J. Functional Analysis 16, 241\u2013257 (1974)","journal-title":"J. Functional Analysis"},{"key":"9426_CR4","doi-asserted-by":"crossref","first-page":"299","DOI":"10.1090\/S0002-9947-1948-0027263-2","volume":"64","author":"G Birkhoff","year":"1948","unstructured":"Birkhoff, G., Frink, O.: Representations of lattices by sets. Trans. Amer. Math. Soc. 64, 299\u2013316 (1948)","journal-title":"Trans. Amer. Math. Soc."},{"key":"9426_CR5","doi-asserted-by":"crossref","DOI":"10.1017\/CBO9780511809088","volume-title":"Introduction to Lattices and Order","author":"BA Davey","year":"2002","unstructured":"Davey, B.A., Priestley, H.A.: Introduction to Lattices and Order, 2nd edn. Cambridge University Press, New York (2002)","edition":"2nd edn"},{"key":"9426_CR6","doi-asserted-by":"crossref","first-page":"387","DOI":"10.1007\/BF02483898","volume":"12","author":"BA Davey","year":"1981","unstructured":"Davey, B.A., Werner, H.: Distributivity of coproducts over products. Algebra Universalis 12, 387\u2013394 (1981)","journal-title":"Algebra Universalis"},{"key":"9426_CR7","first-page":"101","volume-title":"Dualities and Equivalences for Varieties of Algebras. In: Contributions to Lattice Theory (Szeged, 1980). Colloq. Math. Soc. J\u00e1nos Bolyai, vol. 33","author":"BA Davey","year":"1983","unstructured":"Davey, B.A., Werner, H.: Dualities and Equivalences for Varieties of Algebras. In: Contributions to Lattice Theory (Szeged, 1980). Colloq. Math. Soc. J\u00e1nos Bolyai, vol. 33, pp. 101\u2013275. North-Holland, Amsterdam (1983)"},{"key":"9426_CR8","first-page":"220","volume":"7","author":"RA Dean","year":"1956","unstructured":"Dean, R.A.: Component subsets of the free lattice on n generators. Proc. Amer. Math. Soc. 7, 220\u2013226 (1956)","journal-title":"Proc. Amer. Math. Soc."},{"key":"9426_CR9","first-page":"269","volume":"30","author":"W D\u00f6rfler","year":"1980","unstructured":"D\u00f6rfler, W., Harary, F., Malle, G.: Covers of digraphs. Math. Slovaca 30, 269\u2013280 (1980)","journal-title":"Math. Slovaca"},{"key":"9426_CR10","doi-asserted-by":"crossref","first-page":"881","DOI":"10.1016\/j.ejc.2007.11.017","volume":"29","author":"J Foniok","year":"2008","unstructured":"Foniok, J., Ne\u0161et\u0159il, J., Tardif, C.: Generalised dualities and maximal finite antichains in the homomorphism order of relational structures. European J. Combin. 29, 881\u2013899 (2008)","journal-title":"European J. Combin."},{"key":"9426_CR11","doi-asserted-by":"crossref","first-page":"247","DOI":"10.1017\/S1446788700034224","volume":"51","author":"G Gierz","year":"1991","unstructured":"Gierz, G., Romanowska, A.: Duality for distributive bisemilattices. J. Austral. Math. Soc. Ser. A 51, 247\u2013275 (1991)","journal-title":"J. Austral. Math. Soc. Ser. A"},{"key":"9426_CR12","doi-asserted-by":"crossref","first-page":"470","DOI":"10.4153\/CJM-1990-024-0","volume":"42","author":"P Goral\u010d\u00edk","year":"1990","unstructured":"Goral\u010d\u00edk, P., Koubek, V., Sichler, J.: Universal varieties of (0,1)-lattices. Canad. J. Math. 42, 470\u2013490 (1990)","journal-title":"Canad. J. Math."},{"key":"9426_CR13","volume-title":"Universal Algebra","author":"G Gr\u00e4tzer","year":"1968","unstructured":"Gr\u00e4tzer, G.: Universal Algebra. Van Nostrand, New York (1968)"},{"key":"9426_CR14","doi-asserted-by":"crossref","first-page":"741","DOI":"10.4153\/CMB-1969-095-x","volume":"12","author":"G Gr\u00e4tzer","year":"1969","unstructured":"Gr\u00e4tzer, G., Lakser, H., P\u0142onka, J.: Joins and direct products of equational classes. Canad. Math. Bull. 12, 741\u2013744 (1969)","journal-title":"Canad. Math. Bull."},{"key":"9426_CR15","doi-asserted-by":"crossref","first-page":"503","DOI":"10.1016\/0021-8693(69)90089-1","volume":"11","author":"Z Hedrl\u00edn","year":"1969","unstructured":"Hedrl\u00edn, Z.: On universal partly ordered sets and classes. J. Algebra 11, 503\u2013509 (1969)","journal-title":"J. Algebra"},{"key":"9426_CR16","doi-asserted-by":"crossref","first-page":"392","DOI":"10.1215\/ijm\/1256054991","volume":"10","author":"Z Hedrl\u00edn","year":"1966","unstructured":"Hedrl\u00edn, Z., Pultr, A.: On full embeddings of categories of algebras. Illinois J. Math. 10, 392\u2013406 (1966)","journal-title":"Illinois J. Math."},{"key":"9426_CR17","doi-asserted-by":"crossref","DOI":"10.1093\/acprof:oso\/9780198528173.001.0001","volume-title":"Graphs and Homomorphisms","author":"P Hell","year":"2004","unstructured":"Hell, P., Ne\u0161et\u0159il, J.: Graphs and Homomorphisms. Oxford University Press, Oxford (2004)"},{"issue":"1","key":"9426_CR18","doi-asserted-by":"crossref","first-page":"R32","DOI":"10.37236\/1576","volume":"8","author":"ME Hoffman","year":"2001","unstructured":"Hoffman, M.E.: An analogue of covering space theory for ranked posets. Electron. J. Combin. 8(1), R32 (2001)","journal-title":"Electron. J. Combin."},{"key":"9426_CR19","doi-asserted-by":"crossref","first-page":"765","DOI":"10.1016\/j.ejc.2004.01.008","volume":"26","author":"J Hubi\u010dka","year":"2005","unstructured":"Hubi\u010dka, J., Ne\u0161et\u0159il, J.: Universal partial order represented by means of oriented trees and other simple graphs. European J. Combin. 26, 765\u2013778 (2005)","journal-title":"European J. Combin."},{"key":"9426_CR20","doi-asserted-by":"crossref","first-page":"161","DOI":"10.4064\/fm-71-2-161-163","volume":"71","author":"JA Kalman","year":"1971","unstructured":"Kalman, J.A.: Subdirect decomposition of distributive quasilattices. Fund. Math. 71, 161\u2013163 (1971)","journal-title":"Fund. Math."},{"key":"9426_CR21","first-page":"59","volume-title":"Stone duality for varieties generated by quasi-primal algebras. In: Recent Advances in the Representation Theory of Rings and C\u2217-algebras by Continuous Sections (Sem., Tulane Univ., New Orleans, La., 1973). Mem. Amer. Math. Soc., no. 148","author":"K Keimel","year":"1974","unstructured":"Keimel, K., Werner, H.: Stone duality for varieties generated by quasi-primal algebras. In: Recent Advances in the Representation Theory of Rings and C \u2217-algebras by Continuous Sections (Sem., Tulane Univ., New Orleans, La., 1973). Mem. Amer. Math. Soc., no. 148, pp. 59\u201385. American Mathematical Society, Providence (1974)"},{"key":"9426_CR22","doi-asserted-by":"crossref","first-page":"251","DOI":"10.1007\/s11083-010-9169-x","volume":"28","author":"L Kwuida","year":"2011","unstructured":"Kwuida, L., Lehtonen, E.: On the homomorphism order of labeled posets. Order 28, 251\u2013265 (2011)","journal-title":"Order"},{"key":"9426_CR23","first-page":"9","volume":"48","author":"J Ne\u0161et\u0159il","year":"2007","unstructured":"Ne\u0161et\u0159il, J., Pultr, A., Tardif, C.: Gaps and dualities in Heyting categories. Comment. Math. Univ. Carolin. 48, 9\u201323 (2007)","journal-title":"Comment. Math. Univ. Carolin."},{"key":"9426_CR24","doi-asserted-by":"crossref","first-page":"80","DOI":"10.1006\/jctb.2000.1970","volume":"80","author":"J Ne\u0161et\u0159il","year":"2000","unstructured":"Ne\u0161et\u0159il, J., Tardif, C.: Duality theorems for finite structures (characterising gaps and good characterisations). J. Combin. Theory Ser. B 80, 80\u201397 (2000)","journal-title":"J. Combin. Theory Ser. B"},{"key":"9426_CR25","doi-asserted-by":"crossref","first-page":"22","DOI":"10.1007\/BF02483080","volume":"80","author":"PP P\u00e1lfy","year":"1980","unstructured":"P\u00e1lfy, P.P., Pudl\u00e1k, P.: Congruence lattices of finite algebras and intervals in subgroup lattices of finite groups. Algebra Universalis 80, 22\u201327 (1980)","journal-title":"Algebra Universalis"},{"key":"9426_CR26","doi-asserted-by":"crossref","first-page":"361","DOI":"10.1007\/BF01110387","volume":"114","author":"AF Pixley","year":"1970","unstructured":"Pixley, A.F.: Functionally complete algebras generating distributive and permutable classes. Math. Z. 114, 361\u2013372 (1970)","journal-title":"Math. Z."},{"key":"9426_CR27","doi-asserted-by":"crossref","first-page":"167","DOI":"10.1007\/BF01578706","volume":"191","author":"AF Pixley","year":"1971","unstructured":"Pixley, A.F.: The ternary discriminator function in universal algebra. Math. Ann. 191, 167\u2013180 (1971)","journal-title":"Math. Ann."},{"key":"9426_CR28","doi-asserted-by":"crossref","first-page":"191","DOI":"10.4064\/fm-60-2-191-200","volume":"60","author":"J P\u0142onka","year":"1967","unstructured":"P\u0142onka, J.: On distributive quasi-lattices. Fund. Math. 60, 191\u2013200 (1967)","journal-title":"Fund. Math."},{"key":"9426_CR29","doi-asserted-by":"crossref","first-page":"74","DOI":"10.1007\/BF02482893","volume":"10","author":"P Pudl\u00e1k","year":"1980","unstructured":"Pudl\u00e1k, P., T\u016fma, J.: Every finite lattice can be embedded in a finite partition lattice. Algebra Universalis 10, 74\u201395 (1980)","journal-title":"Algebra Universalis"},{"key":"9426_CR30","first-page":"227","volume":"5","author":"A Pultr","year":"1964","unstructured":"Pultr, A.: Concerning universal categories. Comment. Math. Univ. Carolinae 5, 227\u2013239 (1964)","journal-title":"Comment. Math. Univ. Carolinae"},{"key":"9426_CR31","volume-title":"Combinatorial, Algebraic and Topological Representations of Groups, Semigroups and Categories","author":"A Pultr","year":"1980","unstructured":"Pultr, A., Trnkov\u00e1, V.: Combinatorial, Algebraic and Topological Representations of Groups, Semigroups and Categories. North-Holland, Amsterdam (1980)"},{"key":"9426_CR32","doi-asserted-by":"crossref","first-page":"551","DOI":"10.1007\/BF02095993","volume":"71","author":"JR Stallings","year":"1983","unstructured":"Stallings, J.R.: Topology of finite graphs. Invent. Math. 71, 551\u2013565 (1983)","journal-title":"Invent. Math."},{"key":"9426_CR33","doi-asserted-by":"crossref","first-page":"29","DOI":"10.1016\/0304-3975(82)90129-3","volume":"17","author":"E Welzl","year":"1982","unstructured":"Welzl, E.: Color-families are dense. Theoret. Comput. Sci. 17, 29\u201341 (1982)","journal-title":"Theoret. Comput. Sci."},{"key":"9426_CR34","volume-title":"Discriminator-Algebras. Studien zur Algebra und ihre Anwendungen, vol. 6","author":"H Werner","year":"1978","unstructured":"Werner, H.: Discriminator-Algebras. Studien zur Algebra und ihre Anwendungen, vol. 6. Akademie-Verlag, Berlin (1978)"}],"container-title":["Order"],"original-title":[],"language":"en","link":[{"URL":"http:\/\/link.springer.com\/article\/10.1007\/s11083-017-9426-3\/fulltext.html","content-type":"text\/html","content-version":"vor","intended-application":"text-mining"},{"URL":"http:\/\/link.springer.com\/content\/pdf\/10.1007\/s11083-017-9426-3.pdf","content-type":"application\/pdf","content-version":"vor","intended-application":"text-mining"},{"URL":"http:\/\/link.springer.com\/content\/pdf\/10.1007\/s11083-017-9426-3.pdf","content-type":"application\/pdf","content-version":"vor","intended-application":"similarity-checking"}],"deposited":{"date-parts":[[2020,10,7]],"date-time":"2020-10-07T07:16:18Z","timestamp":1602054978000},"score":1,"resource":{"primary":{"URL":"http:\/\/link.springer.com\/10.1007\/s11083-017-9426-3"}},"subtitle":[],"short-title":[],"issued":{"date-parts":[[2017,5,10]]},"references-count":34,"journal-issue":{"issue":"2","published-print":{"date-parts":[[2018,7]]}},"alternative-id":["9426"],"URL":"https:\/\/doi.org\/10.1007\/s11083-017-9426-3","relation":{},"ISSN":["0167-8094","1572-9273"],"issn-type":[{"type":"print","value":"0167-8094"},{"type":"electronic","value":"1572-9273"}],"subject":[],"published":{"date-parts":[[2017,5,10]]}}}