Open AccessOn Semiannahilator Supplement Submodules
Author(s) -
Layla H. Helal,
Sahira M. Yaseen
Publication year - 2020
Publication title -
iraqi journal of science
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.152
H-Index - 4
eISSN - 2312-1637
pISSN - 0067-2904
DOI - 10.24996/ijs.2020.si.1.3
Subject(s) - generalization , associative property , unitary state , mathematics , identity (music) , ring (chemistry) , pure mathematics , combinatorics , discrete mathematics , algebra over a field , arithmetic , physics , chemistry , mathematical analysis , organic chemistry , political science , acoustics , law
Let R be associative; ring; with an identity and let D be unitary left R- module; . In this work we present semiannihilator; supplement submodule as a generalization of R-a- supplement submodule, Let U and V be submodules of an R-module D if D=U+V and whenever Y≤ V and D=U+Y, then annY≪R;. We also introduce the the concept of semiannihilator -supplemented ;modules and semiannihilator weak; supplemented modules, and we give some basic properties of this conseptes.