{"status":"ok","message-type":"work","message-version":"1.0.0","message":{"indexed":{"date-parts":[[2026,3,11]],"date-time":"2026-03-11T13:59:53Z","timestamp":1773237593285,"version":"3.50.1"},"reference-count":22,"publisher":"Springer Science and Business Media LLC","issue":"2","license":[{"start":{"date-parts":[[2014,9,11]],"date-time":"2014-09-11T00:00:00Z","timestamp":1410393600000},"content-version":"tdm","delay-in-days":0,"URL":"http:\/\/www.springer.com\/tdm"}],"content-domain":{"domain":["link.springer.com"],"crossmark-restriction":false},"short-container-title":["Semigroup Forum"],"published-print":{"date-parts":[[2015,4]]},"DOI":"10.1007\/s00233-014-9629-5","type":"journal-article","created":{"date-parts":[[2014,9,10]],"date-time":"2014-09-10T15:18:55Z","timestamp":1410362335000},"page":"532-544","update-policy":"https:\/\/doi.org\/10.1007\/springer_crossmark_policy","source":"Crossref","is-referenced-by-count":6,"title":["Partial transformation monoids preserving a uniform partition"],"prefix":"10.1007","volume":"90","author":[{"given":"Serena","family":"Cical\u00f2","sequence":"first","affiliation":[]},{"given":"V\u00edtor H.","family":"Fernandes","sequence":"additional","affiliation":[]},{"given":"Csaba","family":"Schneider","sequence":"additional","affiliation":[]}],"member":"297","published-online":{"date-parts":[[2014,9,11]]},"reference":[{"issue":"87","key":"9629_CR1","first-page":"261","volume":"45","author":"AJa A\u012dzen\u0161tat","year":"1958","unstructured":"A\u012dzen\u0161tat, AJa: Defining relations of finite symmetric semigroups. Mat. Sb. N.S. 45(87), 261\u2013280 (1958)","journal-title":"Mat. Sb. N.S."},{"key":"9629_CR2","unstructured":"Ara\u00fajo, I.M.: Presentations for semigroup constructions and related computational methods. PhD thesis, University of St Andrews (2001)"},{"issue":"3","key":"9629_CR3","doi-asserted-by":"crossref","first-page":"498","DOI":"10.1007\/s00233-008-9122-0","volume":"78","author":"J Ara\u00fajo","year":"2009","unstructured":"Ara\u00fajo, J., Schneider, Cs: The rank of the endomorphism monoid of a uniform partition. Semigroup Forum 78(3), 498\u2013510 (2009)","journal-title":"Semigroup Forum"},{"issue":"5","key":"9629_CR4","doi-asserted-by":"crossref","first-page":"1671","DOI":"10.1080\/00927870500542689","volume":"34","author":"J East","year":"2006","unstructured":"East, J.: A presentation of the singular part of the symmetric inverse monoid. Commun. Algebra 34(5), 1671\u20131689 (2006)","journal-title":"Commun. Algebra"},{"issue":"2","key":"9629_CR5","doi-asserted-by":"crossref","first-page":"357","DOI":"10.1007\/s00233-010-9250-1","volume":"81","author":"J East","year":"2010","unstructured":"East, J.: A presentation for the singular part of the full transformation semigroup. Semigroup Forum 81(2), 357\u2013379 (2010)","journal-title":"Semigroup Forum"},{"issue":"1","key":"9629_CR6","doi-asserted-by":"crossref","first-page":"1","DOI":"10.1142\/S0218196710005509","volume":"20","author":"J East","year":"2010","unstructured":"East, J.: Presentations for singular subsemigroups of the partial transformation semigroup. Int. J. Algebra Comput. 20(1), 1\u201325 (2010)","journal-title":"Int. J. Algebra Comput."},{"key":"9629_CR7","doi-asserted-by":"crossref","first-page":"1","DOI":"10.1016\/j.jalgebra.2011.04.008","volume":"339","author":"J East","year":"2011","unstructured":"East, J.: Generators and relations for partition monoids and algebras. J. Algebra 339, 1\u201326 (2011)","journal-title":"J. Algebra"},{"issue":"1\u20132","key":"9629_CR8","doi-asserted-by":"crossref","first-page":"147","DOI":"10.1142\/S021819671100611X","volume":"21","author":"J East","year":"2011","unstructured":"East, J.: On the singular part of the partition monoid. Int. J. Algebra Comput. 21(1\u20132), 147\u2013178 (2011)","journal-title":"Int. J. Algebra Comput."},{"issue":"2","key":"9629_CR9","doi-asserted-by":"crossref","first-page":"357","DOI":"10.1142\/S0218196708004470","volume":"18","author":"D Easdown","year":"2008","unstructured":"Easdown, D., East, J., FitzGerald, D.G.: A presentation of the dual symmetric inverse monoid. Int. J. Algebra Comput. 18(2), 357\u2013374 (2008)","journal-title":"Int. J. Algebra Comput."},{"key":"9629_CR10","doi-asserted-by":"crossref","unstructured":"Fernandes, V.H.: Presentations for some monoids of partial transformations on a finite chain: a survey. In: Gomes, G.M.S., Pin, J.-\u00c9., Silva, P. V. (eds.). Semigroups. Algorithms, Automata and Languages (Coimbra, 2001), pp. 363\u2013378. World Sci. Publ, River Edge, NJ (2002)","DOI":"10.1142\/9789812776884_0015"},{"issue":"8","key":"9629_CR11","doi-asserted-by":"crossref","first-page":"2798","DOI":"10.1080\/00927872.2010.492043","volume":"39","author":"VH Fernandes","year":"2011","unstructured":"Fernandes, V.H., Quinteiro, T.M.: On the monoids of transformations that preserve the order and a uniform partition. Commun. Algebra 39(8), 2798\u20132815 (2011)","journal-title":"Commun. Algebra"},{"issue":"4","key":"9629_CR12","first-page":"885","volume":"35","author":"VH Fernandes","year":"2012","unstructured":"Fernandes, V.H., Quinteiro, T.M.: The cardinal of various monoids of transformations that preserve a uniform partition. Bull. Malays. Math. Sci. Soc. (2) 35(4), 885\u2013896 (2012)","journal-title":"Bull. Malays. Math. Sci. Soc. (2)"},{"issue":"2","key":"9629_CR13","doi-asserted-by":"crossref","first-page":"615","DOI":"10.1080\/00927872.2012.720322","volume":"42","author":"VH Fernandes","year":"2014","unstructured":"Fernandes, V.H., Quinteiro, T.M.: On the ranks of certain monoids of transformations that preserve a uniform partition. Commun. Algebra 42(2), 615\u2013636 (2014)","journal-title":"Commun. Algebra"},{"key":"9629_CR14","volume-title":"Classical Finite Transformation Semigroups, An introduction, volume 9 of Algebra and Applications","author":"O Ganyushkin","year":"2009","unstructured":"Ganyushkin, O., Mazorchuk, V.: Classical Finite Transformation Semigroups, An introduction, volume 9 of Algebra and Applications. Springer London Ltd, London (2009)"},{"issue":"2","key":"9629_CR15","doi-asserted-by":"crossref","first-page":"241","DOI":"10.1007\/s00233-005-0514-0","volume":"71","author":"P Huisheng","year":"2005","unstructured":"Huisheng, P., Dingyu, Z.: Green\u2019s equivalences on semigroups of transformations preserving order and an equivalence relation. Semigroup Forum 71(2), 241\u2013251 (2005)","journal-title":"Semigroup Forum"},{"issue":"1","key":"9629_CR16","doi-asserted-by":"crossref","first-page":"107","DOI":"10.1007\/s00233-004-0135-z","volume":"70","author":"P Huisheng","year":"2005","unstructured":"Huisheng, P.: On the rank of the semigroup $$T_E(X)$$ T E ( X ) . Semigroup Forum 70(1), 107\u2013117 (2005)","journal-title":"Semigroup Forum"},{"issue":"2","key":"9629_CR17","doi-asserted-by":"crossref","first-page":"733","DOI":"10.1006\/jabr.1997.7389","volume":"204","author":"TG Lavers","year":"1998","unstructured":"Lavers, T.G.: Presentations of general products of monoids. J. Algebra 204(2), 733\u2013741 (1998)","journal-title":"J. Algebra"},{"issue":"1","key":"9629_CR18","doi-asserted-by":"crossref","first-page":"357","DOI":"10.1112\/plms\/s1-28.1.357","volume":"28","author":"EH Moore","year":"1896","unstructured":"Moore, E.H.: Concerning the abstract groups of order $$k!$$ k ! and $$\\frac{1}{2} k!$$ 1 2 k ! holohedrically isomorphic with the symmetric and the alternating substitution-groups on $$k$$ k letters. Proc. Lond. Math. Soc. 28(1), 357\u2013367 (1896)","journal-title":"Proc. Lond. Math. Soc."},{"key":"9629_CR19","first-page":"78","volume":"238","author":"LM Popova","year":"1962","unstructured":"Popova, L.M.: Defining relations of a semigroup of partial endomorphisms of a finite linearly ordered set. Leningrad. Gos. Ped. Inst. U\u010den. Zap. 238, 78\u201388 (1962)","journal-title":"Leningrad. Gos. Ped. Inst. U\u010den. Zap."},{"key":"9629_CR20","volume-title":"The $$q$$ q","author":"J Rhodes","year":"2009","unstructured":"Rhodes, J., Steinberg, B.: The $$q$$ q -theory of Finite Semigroups. Springer Monographs in Mathematics. Springer, New York (2009)"},{"key":"9629_CR21","unstructured":"Ru\u0161kuc, N.: Semigroup presentations. PhD thesis, University of St Andrews (1995)"},{"issue":"3","key":"9629_CR22","doi-asserted-by":"crossref","first-page":"473","DOI":"10.1007\/s00233-007-0704-z","volume":"74","author":"L Sun","year":"2007","unstructured":"Sun, L., Pei, H., Cheng, Z.: Regularity and Green\u2019s relations for semigroups of transformations preserving orientation and an equivalence. Semigroup Forum 74(3), 473\u2013486 (2007)","journal-title":"Semigroup Forum"}],"container-title":["Semigroup Forum"],"original-title":[],"language":"en","link":[{"URL":"http:\/\/link.springer.com\/content\/pdf\/10.1007\/s00233-014-9629-5.pdf","content-type":"application\/pdf","content-version":"vor","intended-application":"text-mining"},{"URL":"http:\/\/link.springer.com\/article\/10.1007\/s00233-014-9629-5\/fulltext.html","content-type":"text\/html","content-version":"vor","intended-application":"text-mining"},{"URL":"http:\/\/link.springer.com\/content\/pdf\/10.1007\/s00233-014-9629-5","content-type":"unspecified","content-version":"vor","intended-application":"similarity-checking"}],"deposited":{"date-parts":[[2019,8,14]],"date-time":"2019-08-14T21:33:10Z","timestamp":1565818390000},"score":1,"resource":{"primary":{"URL":"http:\/\/link.springer.com\/10.1007\/s00233-014-9629-5"}},"subtitle":[],"short-title":[],"issued":{"date-parts":[[2014,9,11]]},"references-count":22,"journal-issue":{"issue":"2","published-print":{"date-parts":[[2015,4]]}},"alternative-id":["9629"],"URL":"https:\/\/doi.org\/10.1007\/s00233-014-9629-5","relation":{},"ISSN":["0037-1912","1432-2137"],"issn-type":[{"value":"0037-1912","type":"print"},{"value":"1432-2137","type":"electronic"}],"subject":[],"published":{"date-parts":[[2014,9,11]]}}}