On the Algebra of the Möbius Crown

A commutative algebra over a field naturally defines a representation of the category of finite sets and surjective maps. The restriction of this representation to the subcategory of sets of cardinality at most r is considered. For each r , two non-isomorphic algebras that define isomorphic represen...

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Veröffentlicht in:	Journal of mathematical sciences (New York, N.Y.) N.Y.), 2022-06, Vol.264 (1), p.96-101
1. Verfasser:	Podkorytov, S. S.
Format:	Artikel
Sprache:	eng
Schlagworte:	Algebra Mathematics Mathematics and Statistics Representations
Online-Zugang:	Volltext
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Beschreibung
Zusammenfassung:	A commutative algebra over a field naturally defines a representation of the category of finite sets and surjective maps. The restriction of this representation to the subcategory of sets of cardinality at most r is considered. For each r , two non-isomorphic algebras that define isomorphic representations of this subcategory are presented.
ISSN:	1072-3374 1573-8795
DOI:	10.1007/s10958-022-05981-y