Locally adequate semigroup algebras

• Autorzy: Yingdan Ji , Yanfeng Luo
• Języki publikacji: EN

Abstrakty

EN

We build up a multiplicative basis for a locally adequate concordant semigroup algebra by constructing Rukolaĭne idempotents. This allows us to decompose the locally adequate concordant semigroup algebra into a direct product of primitive abundant [...] 0-J*$0{\rm{ - }}{\cal J}*$-simple semigroup algebras. We also deduce a direct sum decomposition of this semigroup algebra in terms of the [...] ℛ*${\cal R}*$-classes of the semigroup obtained from the above multiplicative basis. Finally, for some special cases, we provide a description of the projective indecomposable modules and determine the representation type.

Słowa kluczowe

EN

Contracted semigroup algebras; Rukolaĭne idempotents; Multiplicative basis; Direct product decomposition; Representation type

Kategorie tematyczne

• 16G30: Representations of orders, lattices, algebras over commutative rings
• 16G60: Representation type (finite, tame, wild, etc.)

• Wydawca: De Gruyter Open
• Czasopismo: Open Mathematics
• Rocznik: 2016
• Tom: 14
• Numer: 1
• Strony: 29-48

Daty

wydano

2016-01-01

otrzymano

2014-04-02

zaakceptowano

2015-12-28

online

2016-02-09

Twórcy

autor

Yingdan Ji

• School of Mathematics and Statistics, Lanzhou University, Lanzhou, Gansu, 730000, P.R. of

autor

Yanfeng Luo

• School of Mathematics and Statistics, Lanzhou University, Lanzhou, Gansu, 730000, P.R. of

Identyfikatory

DOI

10.1515/math-2016-0004