Left Rings | Zendy

Junchao Wei | Zendy

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Left Rings

Author(s) -

Junchao Wei

Publication year - 2011

Publication title -

international journal of mathematics and mathematical sciences

Language(s) - English

Resource type - Journals

SCImago Journal Rank - 0.21

H-Index - 39

eISSN - 1687-0425

pISSN - 0161-1712

DOI - 10.1155/2011/294301

Subject(s) - mathematics , idempotence , von neumann regular ring , socle , injective function , ideal (ethics) , pure mathematics , primitive ring , ring (chemistry) , principal ideal ring , combinatorics , inversion (geology) , commutative ring , commutative property , paleontology , philosophy , chemistry , organic chemistry , epistemology , structural basin , biology

We introduce in this paper the concept of left 2 rings and concern ourselves with rings containing an injective maximal left ideal. Some known results for left idempotent reflexive rings and left rings can be extended to left 2 rings. As applications, we are able to give some new characterizations of regular left self-injective rings with nonzero socle and extend some known results on strongly regular rings

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