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Amer. Math. Soc."],"abstract":"<p>\n                    Let\n                    <inline-formula content-type=\"math\/mathml\">\n                      <mml:math xmlns:mml=\"http:\/\/www.w3.org\/1998\/Math\/MathML\" alttext=\"upper X\">\n                        <mml:semantics>\n                          <mml:mi>X<\/mml:mi>\n                          <mml:annotation encoding=\"application\/x-tex\">X<\/mml:annotation>\n                        <\/mml:semantics>\n                      <\/mml:math>\n                    <\/inline-formula>\n                    be a finite connected poset and\n                    <inline-formula content-type=\"math\/mathml\">\n                      <mml:math xmlns:mml=\"http:\/\/www.w3.org\/1998\/Math\/MathML\" alttext=\"upper K\">\n                        <mml:semantics>\n                          <mml:mi>K<\/mml:mi>\n                          <mml:annotation encoding=\"application\/x-tex\">K<\/mml:annotation>\n                        <\/mml:semantics>\n                      <\/mml:math>\n                    <\/inline-formula>\n                    a field. We give a full description of the Lie automorphisms of the incidence algebra\n                    <inline-formula content-type=\"math\/mathml\">\n                      <mml:math xmlns:mml=\"http:\/\/www.w3.org\/1998\/Math\/MathML\" alttext=\"upper I left-parenthesis upper X comma upper K right-parenthesis\">\n                        <mml:semantics>\n                          <mml:mrow>\n                            <mml:mi>I<\/mml:mi>\n                            <mml:mo stretchy=\"false\">(<\/mml:mo>\n                            <mml:mi>X<\/mml:mi>\n                            <mml:mo>,<\/mml:mo>\n                            <mml:mi>K<\/mml:mi>\n                            <mml:mo stretchy=\"false\">)<\/mml:mo>\n                          <\/mml:mrow>\n                          <mml:annotation encoding=\"application\/x-tex\">I(X,K)<\/mml:annotation>\n                        <\/mml:semantics>\n                      <\/mml:math>\n                    <\/inline-formula>\n                    . In particular, we show that they are in general not proper.\n                  <\/p>","DOI":"10.1090\/proc\/15786","type":"journal-article","created":{"date-parts":[[2021,8,25]],"date-time":"2021-08-25T10:14:30Z","timestamp":1629886470000},"page":"1477-1492","source":"Crossref","is-referenced-by-count":9,"special_numbering":"754","title":["Lie automorphisms of incidence algebras"],"prefix":"10.1090","volume":"150","author":[{"given":"\u00c9rica","family":"Fornaroli","sequence":"first","affiliation":[]},{"given":"Mykola","family":"Khrypchenko","sequence":"additional","affiliation":[]},{"suffix":"Jr.","given":"Ednei","family":"Santulo","sequence":"additional","affiliation":[]}],"member":"14","published-online":{"date-parts":[[2022,1,26]]},"reference":[{"issue":"12","key":"1","doi-asserted-by":"publisher","first-page":"2518","DOI":"10.1080\/03081087.2015.1023177","article-title":"Jordan homomorphisms of the structural matrix algebras","volume":"63","author":"Akkurt, E.","year":"2015","journal-title":"Linear Multilinear Algebra","ISSN":"https:\/\/id.crossref.org\/issn\/0308-1087","issn-type":"print"},{"issue":"3","key":"2","doi-asserted-by":"publisher","first-page":"565","DOI":"10.1080\/03081087.2017.1306019","article-title":"Jordan isomorphisms of finitary incidence algebras","volume":"66","author":"Brusamarello, Rosali","year":"2018","journal-title":"Linear Multilinear Algebra","ISSN":"https:\/\/id.crossref.org\/issn\/0308-1087","issn-type":"print"},{"issue":"2","key":"3","doi-asserted-by":"publisher","first-page":"285","DOI":"10.4064\/cm7777-1-2019","article-title":"Jordan isomorphisms of the finitary incidence ring of a partially ordered category","volume":"159","author":"Brusamarello, Rosali","year":"2020","journal-title":"Colloq. 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