Affiliation:
1. Faculty of Sciences and Arts, Department of Mathematics, Sinop University, Sinop, Turkey
Abstract
A module M is called ?-?ss-supplemented if every submodule X of M has a
?ss-supplement Y in M which is a direct summand of M such that X + Y = M and
X ? Y ? Soc? (Y) where Soc?(Y) is the sum of simple and ?-small submodules
of Y and M = Y ? Y? for some Y? ? M. Moreover, M is called a completely
?-?ss-supplemented module if every direct summand of M is
?-?ss-supplemented. Thus, we present two new types of algebraic structures
which are stronger than ?-D11 and ?-D+11-modules, respectively. In this
paper we investigate basic properties, decompositions and ring
characterizations of these modules.
Publisher
National Library of Serbia
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