Semi co–Hopﬁan and Semi Hopﬁan Modules

Pınar AYDO˘GDU; A. C¸i˘gdem ¨OZCAN

Pınar AYDO˘GDU
A. C¸i˘gdem ¨OZCAN

Keywords: semi (co-)Hopﬁan module, Dedekind ﬁnite module

Abstract

A module M is called semi co–Hopﬁan (resp. semi Hopﬁan) if any injective (resp. surjective) endomorphism of M has a direct summand image (resp. kernel). In this article, some properties of semi co–Hopﬁan and semi Hopﬁan modules are investigated with examples