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Semigroup Algebras of Submonoids of Polycyclic-by-Finite Groups and Maximal Orders
Tijdschriftbijdrage - Tijdschriftartikel
Necessary and sufficient conditions are given for
a prime Noetherian algebra K[S] of a submonoid
S of a polycyclic-by-finite group G to be a
maximal order. These conditions are entirely in
terms of the monoid S. This extends earlier
results of Brown concerned with the group ring
case and of the authors for the case where K[S]
satisfies a polynomial identity.
a prime Noetherian algebra K[S] of a submonoid
S of a polycyclic-by-finite group G to be a
maximal order. These conditions are entirely in
terms of the monoid S. This extends earlier
results of Brown concerned with the group ring
case and of the authors for the case where K[S]
satisfies a polynomial identity.
Tijdschrift: Algebras and Representation Theory
ISSN: 1386-923X
Issue: 2-5
Volume: 12
Pagina's: 357-363
Jaar van publicatie:2009
Trefwoorden:semigroup algebra, prime ideal, polycyclic-by-finite group, maximal order