Ample semigroups and Frobenius algebras.

DOI10.1007/s00233-015-9726-0zbMath1336.20060OpenAlexW578971616MaRDI QIDQ896252

Kar Ping Shum, Xiao Jiang Guo

Publication date: 9 December 2015

Published in: Semigroup Forum (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s00233-015-9726-0

zbMATH Keywords

finite inverse semigroupssemigroup algebrasFrobenius algebrasample semigroupsright self-injective algebras

Mathematics Subject Classification ID

General structure theory for semigroups (20M10) Injective modules, self-injective associative rings (16D50) Ordinary and skew polynomial rings and semigroup rings (16S36) Semigroup rings, multiplicative semigroups of rings (20M25) Inverse semigroups (20M18)

Related Items (10)

Good subdirect products of E–inversive abundant semigroups ⋮ The conjugate hull of a type B semigroup ⋮ Almost factorizable weakly type B semigroups ⋮ Congruences on ∼ bisimple right type B ω – semigroups ⋮ Abundant semigroup algebras which are Azumaya ⋮ Semiprimeness of semigroup algebras ⋮ Self-injectivity of semigroup algebras ⋮ Algebras of right ample semigroups ⋮ A new characterization of a proper type B semigroup ⋮ A ∗-prehomomorphism of a type B semigroup

Cites Work

• Semigroup algebras of finite ample semigroups
• Adequate Semigroups
• TYPE-A SEMIGROUPS WHOSE FULL SUBSEMIGROUPS FORM A CHAIN UNDER SET INCLUSION
• The natural partial order on an abundant semigroup
• Abundant Semigroups
• Some Semigroups Having Quasi-Frobenius Algebras. I
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