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On p-injective rings

Published online by Cambridge University Press:  18 May 2009

Gennadi Puninski ,
Robert Wisbauer  and
Mohamed Yousif
Gennadi Puninski
Affiliation:
Russian Social Institute, Losionostrovskaja, 24 107150 Moscow, Russia
Robert Wisbauer
Affiliation:
Mathematisches Institut der Universität, Universitätsstr. 1, 40225 Düsseldorf, Germany
Mohamed Yousif
Affiliation:
Department of Mathematics, Ohio State University, Lima, Ohio 45804, USA
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Throughout this paper R will be an associative ring with unity and all R-modules are unitary. The right (resp. left) annihilator in R of a subset X of a module is denoted by r(X)(resp. I(X)). The Jacobson radical of R is denoted by J(R), the singular ideals are denoted by Z(RR) and Z(RR) and the socles by Soc(RR) and Soc(RR). For a module M, E(M) and PE(M) denote the injective and pure-injective envelopes of M, respectively. For a submodule A ⊆ M, the notation A ⊆⊕M will mean that A is a direct summand of M.

Type
Research Article
Information
Glasgow Mathematical Journal , Volume 37 , Issue 3 , September 1995 , pp. 373 - 378
Copyright
Copyright © Glasgow Mathematical Journal Trust 1995

References

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