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Dergiler / Communications Faculty of Sciences University of Ankara Series A1: Mathematics and Statistics / 2000 / Cilt: 49 - Sayı: 1-2

Copolyform modules

G. GÜNGÖROĞLU

Sayfa
101–110
DOI
—

Abstract

A module M is called copolyform module if for any small submodule N of M, Hom(M,N/K)=0 for all submodules K of N. It is shown that rational numbers, and in general, fields of fractions of integral domains are copolyform modules and for a copolyform and lifting module M, S=End(M) is left and right principally projective ring, and if M is copolyform and $Sigma$- lifting module then S=End(M) is left and right semihereditary ring.