The Centers of Semi-Simple Algebras Over a Commutative Ring, II

Author:

Endo Shizuo,Watanabe Yutaka

Abstract

In this note we assume that all rings have identities and denote by R a commutative ring. All R-algebras considered are assumed to be finitely generated faithful R-modules. An R-algebra Λ is said to be semi-simple ([5]), if any finitely ‘generated Λ-module is (Λ, R)-projective.

Publisher

Cambridge University Press (CUP)

Subject

General Mathematics

Cited by 5 articles. 订阅此论文施引文献 订阅此论文施引文献,注册后可以免费订阅5篇论文的施引文献,订阅后可以查看论文全部施引文献

1. Bibliography;North-Holland Mathematics Studies;1996

2. Bibliography;North-Holland Mathematics Studies;1995

3. Integral and graded quasi-hereditary algebras, I;Journal of Algebra;1990-05

4. Zentrale Bimoduln und separable Algebren;Archiv der Mathematik;1978-12

5. Azumaya, semisimple and ideal algebras;Bulletin of the American Mathematical Society;1972

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