On Pseudo Small Injective Modules

Chinese Quarterly Journal of Mathematics ›› 2013, Vol. 28 ›› Issue (4): 532-538.

On Pseudo Small Injective Modules

1. College of Mathematics, Anhui University2. College of Mathematics, Qingdao University

Received:2012-01-31 Online:2013-12-30 Published:2023-02-17
Supported by:
Supported by the Ph.D.Programs Foundation of Ministry of Education of China(200803570003)

Abstract

Abstract: The denition of principally pseudo injectivity motivates us to generalize the notion of injectivity, noted SP pseudo injectivity. The aim of this paper is to investigate characterizations and properties of SP pseudo injective modules. Various results are developed, many extending known results. As applications, we give some characterizations on Noetherian rings, QI rings, quasi-Frobenius rings.

Key words: SP pseudo injective modules, semiregular modules, SP injective modules, co- Hop?an modules

CLC Number:

O153.3

ZHAO Yu- e, DU Xian-neng. On Pseudo Small Injective Modules[J]. Chinese Quarterly Journal of Mathematics, 2013, 28(4): 532-538.

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On Pseudo Small Injective Modules

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