المستخلص: |
The aim of this paper is to investigate principally and general principally injective rings satisfying additional conditions. A ring R is called left P -injective if for every a R, aR = rl(a) where L(.) and r(.) denote left and right annihilators respectively. The ring R is called left GP-injective if for any 0≠ a R, there exists n > 0 such that an ≠ 0 and anR = rl(an). As a response to an open question on GP-injective rings, an example of a lef GP-injective ring which is not left P -injective is given. Various results are developed, many extending known results.
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