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Piecewise Hereditary Nakayama Algebras

✍ Scribed by Dieter Happel; Uwe Seidel


Publisher
Springer Netherlands
Year
2009
Tongue
English
Weight
372 KB
Volume
13
Category
Article
ISSN
1386-923X

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We show that the Nakayama automorphism of a Frobenius algebra R over a field k is independent of the field (Theorem 4). Consequently, the k-dual functor on left R-modules and the bimodule isomorphism type of the k-dual of R, and hence the question of whether R is a symmetric k-algebra, are independe

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In "Semigroup Algebras," OkniΕ„ski posed the following question: characterize semigroup algebras that are hereditary. In this paper we describe the (prime contracted) semigroup algebras K S that are hereditary and Noetherian when S is either a Malcev nilpotent monoid, a cancellative monoid or a monoi