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3 results

  • On p-injective rings

  • Gennadi Puninski, Robert Wisbauer, Mohamed Yousif
  • Journal:
    Glasgow Mathematical Journal / Volume 37 / Issue 3 / September 1995
    Published online by Cambridge University Press:
    18 May 2009, pp. 373-378
    Print publication:
    September 1995
    • Article
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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.