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WHEN IS A QUASI-P-PROJECTIVE MODULE DISCRETE

2008
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Journal of Nonlinear Science and its Applications
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It is well-known that every quasi-projective module has D 2 -condition. In this note it is shown that for a quasi-p-projective module M which is selfgenerator, duo, then M is discrete. Introduction and preliminaries Throughout, R is an associative ring with identity and right R-modules are unitary. Let M be a right R-module. A module N is called M -generated if there is an epimorphism M (I) −→ N for some index set I. In particular, N is called M -cyclic if it is isomorphism to M/L for submodule

doi:10.22436/jnsa.001.02.07
fatcat:jg3foctmb5hk5bea2qu2uf7rr4