Direct sums of Rickart modules

Gangyong Lee,S Tariq Rizvi,Cosmin S Roman

Journal of Algebra（2012）

引用 44|浏览4

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摘要

The notion of Rickart modules was defined recently. It has been shown that a direct sum of Rickart modules is not a Rickart module, in general. In this paper we investigate the question: When are the direct sums of Rickart modules, also Rickart? We show that if Mi is Mj-injective for all i更多

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关键词

Rickart (p.p.) rings and modules,Baer rings and modules,Idempotents,Annihilators,Endomorphisms,Direct sums of modules,Right (semi)hereditary,Free and projective modules

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