2015年
Commutative rings over which algebras generated by idempotents are quotients of group algebras
Journal of Commutative Algebra
- ,
- 巻
- 7
- 号
- 3
- 開始ページ
- 373
- 終了ページ
- 391
- 記述言語
- 英語
- 掲載種別
- 研究論文(学術雑誌)
- DOI
- 10.1216/JCA-2015-7-3-373
- 出版者・発行元
- Rocky Mountain Mathematics Consortium
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.
- ID情報
-
- DOI : 10.1216/JCA-2015-7-3-373
- ISSN : 1939-2346
- ISSN : 1939-0807
- SCOPUS ID : 84950271164