{"status":"ok","message-type":"work","message-version":"1.0.0","message":{"indexed":{"date-parts":[[2025,6,19]],"date-time":"2025-06-19T16:06:39Z","timestamp":1750349199942,"version":"3.37.3"},"reference-count":17,"publisher":"Springer Science and Business Media LLC","issue":"3","license":[{"start":{"date-parts":[[2023,5,20]],"date-time":"2023-05-20T00:00:00Z","timestamp":1684540800000},"content-version":"tdm","delay-in-days":0,"URL":"https:\/\/www.springernature.com\/gp\/researchers\/text-and-data-mining"},{"start":{"date-parts":[[2023,5,20]],"date-time":"2023-05-20T00:00:00Z","timestamp":1684540800000},"content-version":"vor","delay-in-days":0,"URL":"https:\/\/www.springernature.com\/gp\/researchers\/text-and-data-mining"}],"funder":[{"DOI":"10.13039\/501100006753","name":"Centro de Matem\u00e1tica Universidade do Porto","doi-asserted-by":"publisher","award":["UIDB\/00144\/2020"],"award-info":[{"award-number":["UIDB\/00144\/2020"]}],"id":[{"id":"10.13039\/501100006753","id-type":"DOI","asserted-by":"publisher"}]}],"content-domain":{"domain":["link.springer.com"],"crossmark-restriction":false},"short-container-title":["Rev. Real Acad. Cienc. Exactas Fis. Nat. Ser. A-Mat."],"published-print":{"date-parts":[[2023,7]]},"DOI":"10.1007\/s13398-023-01454-2","type":"journal-article","created":{"date-parts":[[2023,5,20]],"date-time":"2023-05-20T14:01:32Z","timestamp":1684591292000},"update-policy":"https:\/\/doi.org\/10.1007\/springer_crossmark_policy","source":"Crossref","is-referenced-by-count":1,"title":["Regular Hom-Lie structures on incidence algebras"],"prefix":"10.1007","volume":"117","author":[{"given":"\u00c9rica Z.","family":"Fornaroli","sequence":"first","affiliation":[]},{"ORCID":"https:\/\/orcid.org\/0000-0002-4504-3261","authenticated-orcid":false,"given":"Mykola","family":"Khrypchenko","sequence":"additional","affiliation":[]},{"suffix":"Jr.","given":"Ednei A.","family":"Santulo","sequence":"additional","affiliation":[]}],"member":"297","published-online":{"date-parts":[[2023,5,20]]},"reference":[{"issue":"2","key":"1454_CR1","doi-asserted-by":"publisher","first-page":"351","DOI":"10.1090\/S0002-9939-1972-0313133-8","volume":"36","author":"K Baclawski","year":"1972","unstructured":"Baclawski, K.: Automorphisms and derivations of incidence algebras. Proc. Amer. Math. Soc. 36(2), 351\u2013356 (1972)","journal-title":"Proc. Amer. Math. Soc."},{"key":"1454_CR2","doi-asserted-by":"publisher","first-page":"38","DOI":"10.1016\/j.geomphys.2013.10.010","volume":"76","author":"S Benayadi","year":"2014","unstructured":"Benayadi, S., Makhlouf, A.: Hom-Lie algebras with symmetric invariant nondegenerate bilinear forms. J. Geom. Phys. 76, 38\u201360 (2014)","journal-title":"J. Geom. Phys."},{"issue":"4","key":"1454_CR3","first-page":"1115","volume":"23","author":"B Cao","year":"2013","unstructured":"Cao, B., Luo, L.: Hom-Lie superalgebra structures on finite-dimensional simple Lie superalgebras. J. Lie Theory 23(4), 1115\u20131128 (2013)","journal-title":"J. Lie Theory"},{"issue":"5","key":"1454_CR4","doi-asserted-by":"publisher","first-page":"2065","DOI":"10.1080\/00927872.2019.1710172","volume":"48","author":"Z Chen","year":"2020","unstructured":"Chen, Z., Yu, Y.: Regular Hom-Lie structures on Borel subalgebras of finite-dimensional simple Lie algebras. Comm. Algebra 48(5), 2065\u20132071 (2020)","journal-title":"Comm. Algebra"},{"key":"1454_CR5","doi-asserted-by":"crossref","unstructured":"Chen, Z., Yu, Y.: Regular Hom-Lie structures on strictly upper triangular matrix Lie algebras. J. Algebra Appl. 21, 4, Paper No. 2250081, 10 (2022)","DOI":"10.1142\/S0219498822500815"},{"issue":"4","key":"1454_CR6","doi-asserted-by":"publisher","first-page":"1477","DOI":"10.1090\/proc\/15786","volume":"150","author":"\u00c9Z Fornaroli","year":"2022","unstructured":"Fornaroli, \u00c9.Z., Khrypchenko, M., Santulo, E.A., Jr.: Lie automorphisms of incidence algebras. Proc. Amer. Math. Soc. 150(4), 1477\u20131492 (2022)","journal-title":"Proc. Amer. Math. Soc."},{"issue":"3","key":"1454_CR7","doi-asserted-by":"publisher","first-page":"702","DOI":"10.1017\/S0017089522000015","volume":"64","author":"\u00c9Z Fornaroli","year":"2022","unstructured":"Fornaroli, \u00c9.Z., Khrypchenko, M., Santulo, E.A., Jr.: Proper Lie automorphisms of incidence algebras. Glasgow Math. J. 64(3), 702\u2013715 (2022)","journal-title":"Glasgow Math. J."},{"issue":"2","key":"1454_CR8","doi-asserted-by":"publisher","first-page":"314","DOI":"10.1016\/j.jalgebra.2005.07.036","volume":"295","author":"JT Hartwig","year":"2006","unstructured":"Hartwig, J.T., Larsson, D., Silvestrov, S.D.: Deformations of Lie algebras using $$\\sigma $$-derivations. J. Algebra 295(2), 314\u2013361 (2006)","journal-title":"J. Algebra"},{"issue":"4","key":"1454_CR9","doi-asserted-by":"publisher","first-page":"1398","DOI":"10.1016\/j.jalgebra.2007.12.005","volume":"319","author":"Q Jin","year":"2008","unstructured":"Jin, Q., Li, X.: Hom-Lie algebra structures on semi-simple Lie algebras. J. Algebra 319(4), 1398\u20131408 (2008)","journal-title":"J. Algebra"},{"issue":"2","key":"1454_CR10","doi-asserted-by":"publisher","first-page":"51","DOI":"10.4303\/jglta\/S070206","volume":"2","author":"A Makhlouf","year":"2008","unstructured":"Makhlouf, A., Silvestrov, S.D.: Hom-algebra structures. J. Gen. Lie Theory Appl. 2(2), 51\u201364 (2008)","journal-title":"J. Gen. Lie Theory Appl."},{"key":"1454_CR11","doi-asserted-by":"publisher","first-page":"278","DOI":"10.1016\/j.jalgebra.2018.08.022","volume":"515","author":"A Makhlouf","year":"2018","unstructured":"Makhlouf, A., Zusmanovich, P.: Hom-Lie structures on Kac-Moody algebras. J. Algebra 515, 278\u2013297 (2018)","journal-title":"J. Algebra"},{"key":"1454_CR12","doi-asserted-by":"publisher","first-page":"340","DOI":"10.1007\/BF00531932","volume":"4","author":"G-C Rota","year":"1964","unstructured":"Rota, G.-C.: On the foundations of combinatorial theory. I. Theory of M\u00f6bius functions. Z. Wahrscheinlichkeitstheorie und Verw. Gebiete 2 4, 340\u2013368 (1964)","journal-title":"Z. Wahrscheinlichkeitstheorie und Verw. Gebiete 2"},{"key":"1454_CR13","volume-title":"Incidence Algebras","author":"E Spiegel","year":"1997","unstructured":"Spiegel, E., O\u2019Donnell, C.J.: Incidence Algebras. Marcel Dekker, New York (1997)"},{"key":"1454_CR14","doi-asserted-by":"publisher","first-page":"1236","DOI":"10.1090\/S0002-9904-1970-12617-9","volume":"76","author":"R Stanley","year":"1970","unstructured":"Stanley, R.: Structure of incidence algebras and their automorphism groups. Bull. Am. Math. Soc. 76, 1236\u20131239 (1970)","journal-title":"Bull. Am. Math. Soc."},{"issue":"1","key":"1454_CR15","doi-asserted-by":"publisher","first-page":"617","DOI":"10.1515\/math-2015-0059","volume":"13","author":"W Xie","year":"2015","unstructured":"Xie, W., Jin, Q., Liu, W.: $${{\\rm Hom}}$$-structures on semi-simple Lie algebras. Open Math. 13(1), 617\u2013630 (2015)","journal-title":"Open Math."},{"key":"1454_CR16","doi-asserted-by":"publisher","first-page":"1750154","DOI":"10.1142\/S0219498817501547","volume":"8","author":"W Xie","year":"2017","unstructured":"Xie, W., Liu, W.: Hom-structures on simple graded Lie algebras of finite growth. J. Algebra Appl. 8, 1750154 (2017)","journal-title":"J. Algebra Appl."},{"key":"1454_CR17","doi-asserted-by":"publisher","DOI":"10.1063\/1.4922658","volume":"6","author":"J Yuan","year":"2015","unstructured":"Yuan, J., Liu, W.: Hom-structures on finite-dimensional simple Lie superalgebras. J. Math. Phys. 6, 061702 (2015)","journal-title":"J. Math. Phys."}],"container-title":["Revista de la Real Academia de Ciencias Exactas, F\u00edsicas y Naturales. Serie A. Matem\u00e1ticas"],"original-title":[],"language":"en","link":[{"URL":"https:\/\/link.springer.com\/content\/pdf\/10.1007\/s13398-023-01454-2.pdf","content-type":"application\/pdf","content-version":"vor","intended-application":"text-mining"},{"URL":"https:\/\/link.springer.com\/article\/10.1007\/s13398-023-01454-2\/fulltext.html","content-type":"text\/html","content-version":"vor","intended-application":"text-mining"},{"URL":"https:\/\/link.springer.com\/content\/pdf\/10.1007\/s13398-023-01454-2.pdf","content-type":"application\/pdf","content-version":"vor","intended-application":"similarity-checking"}],"deposited":{"date-parts":[[2023,6,30]],"date-time":"2023-06-30T06:05:53Z","timestamp":1688105153000},"score":1,"resource":{"primary":{"URL":"https:\/\/link.springer.com\/10.1007\/s13398-023-01454-2"}},"subtitle":[],"short-title":[],"issued":{"date-parts":[[2023,5,20]]},"references-count":17,"journal-issue":{"issue":"3","published-print":{"date-parts":[[2023,7]]}},"alternative-id":["1454"],"URL":"https:\/\/doi.org\/10.1007\/s13398-023-01454-2","relation":{},"ISSN":["1578-7303","1579-1505"],"issn-type":[{"type":"print","value":"1578-7303"},{"type":"electronic","value":"1579-1505"}],"subject":[],"published":{"date-parts":[[2023,5,20]]},"assertion":[{"value":"16 January 2023","order":1,"name":"received","label":"Received","group":{"name":"ArticleHistory","label":"Article History"}},{"value":"8 May 2023","order":2,"name":"accepted","label":"Accepted","group":{"name":"ArticleHistory","label":"Article History"}},{"value":"20 May 2023","order":3,"name":"first_online","label":"First Online","group":{"name":"ArticleHistory","label":"Article History"}},{"order":1,"name":"Ethics","group":{"name":"EthicsHeading","label":"Declarations"}},{"value":"The authors have no conflicts to disclose.","order":2,"name":"Ethics","group":{"name":"EthicsHeading","label":"Conflict of interest"}},{"value":"The research did not involve human participants and\/or animals.","order":3,"name":"Ethics","group":{"name":"EthicsHeading","label":"Research involving human and animal participants"}}],"article-number":"122"}}