The primitivity of semigroup algebras of free products

DOI10.1007/BF02676603zbMath0870.16018OpenAlexW2037391602MaRDI QIDQ677104

Juan-Miguel Gracia

Publication date: 13 July 1997

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

Full work available at URL: https://eudml.org/doc/135521

zbMATH Keywords

semigroup algebrasfaithful irreducible representationsfree products of semigroups

Mathematics Subject Classification ID

Ordinary and skew polynomial rings and semigroup rings (16S36) Semigroup rings, multiplicative semigroups of rings (20M25) Simple and semisimple modules, primitive rings and ideals in associative algebras (16D60) Representation of semigroups; actions of semigroups on sets (20M30) (L^1)-algebras on groups, semigroups, etc. (43A20)

Related Items (3)

GROUP RINGS OF COUNTABLE NON-ABELIAN LOCALLY FREE GROUPS ARE PRIMITIVE ⋮ A property of the complex semigroup algebra of a free monoid ⋮ On the l¹-algebra of certain monoids

Cites Work

• The Banach algebra \(\ell^1(S)\)
• The primitivity of free products of associative algebras
• Group rings of free products are primitive
• A Representation for l ¹ (S )
• On the Primitivity of the Group Ring of a Free Group

This page was built for publication: The primitivity of semigroup algebras of free products