Journal of Commutative Algebra
- J. Commut. Algebra
- Volume 7, Number 3 (2015), 373-391.
Commutative rings over which algebras generated by idempotents are quotients of group algebras
We study the relationship between algebras generated by idempotents over a commutative ring $R$ with identity and algebras that are quotient rings of group algebras $RG$ for torsion abelian groups $G$ without an element whose order is a zero-divisor in $R$. The main purpose is to seek conditions for $R$ to hold the equality between these two kinds of algebras.
J. Commut. Algebra, Volume 7, Number 3 (2015), 373-391.
First available in Project Euclid: 14 December 2015
Permanent link to this document
Digital Object Identifier
Mathematical Reviews number (MathSciNet)
Zentralblatt MATH identifier
Primary: 13A99: None of the above, but in this section
Secondary: 16S34: Group rings [See also 20C05, 20C07], Laurent polynomial rings
Kawai, Hideyasu; Onoda, Nobuharu. Commutative rings over which algebras generated by idempotents are quotients of group algebras. J. Commut. Algebra 7 (2015), no. 3, 373--391. doi:10.1216/JCA-2015-7-3-373. https://projecteuclid.org/euclid.jca/1450102161