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http://dx.doi.org/10.4134/CKMS.2004.19.4.619

OPENLY SEMIPRIMITIVE PROJECTIVE MODULE

Bae, Soon-Sook (Hyundai Apartment)

Publication Information

Communications of the Korean Mathematical Society / v.19, no.4, 2004 , pp. 619-637 More about this Journal

Abstract

In this paper, a left module over an associative ring with identity is defined to be openly semiprimitive (strongly semiprimitive, respectively) by the zero intersection of all maximal open fully invariant submodules (all maximal open submodules which are fully invariant, respectively) of it. For any projective module, the openly semiprimitivity of the projective module is an equivalent condition of the semiprimitivity of endomorphism ring of the projective module and the strongly semiprimitivity of the projective module is an equivalent condition of the endomorphism ring of the projective module being a sub direct product of a set of subdivisions of division rings.

Keywords

free; projective; semiprimitive; openly (strongly) semi-primitive module; maximal open submodule; prime endomorphism;

Citations & Related Records

Reference

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