Open AccessET-Hollow Module and ET-Lifting Module
Author(s) -
Firas sh. Fandi,
Sahira M. Yaseen
Publication year - 2019
Publication title -
international journal on recent and innovation trends in computing and communication
Language(s) - English
Resource type - Journals
ISSN - 2321-8169
DOI - 10.17762/ijritcc.v7i9.5357
Subject(s) - lift (data mining) , commutative ring , mathematics , combinatorics , discrete mathematics , commutative property , computer science , data mining
Let M be a R-module;, where R be a commutative; ring with identity,
In this paper, we defined a new types of module namely “ET-hollow(ET-holl.) and ET-lifting(ET-lift.) modules”. An R-module M is called ET-holl. module, if for all sub-module H of M then HM. An R-module M is called An R-module M is called ET-lifting module, if for all H M , there exists X M and LM, such that H=X+L. We give many characterizations of ET-holl. and ET-lifting modules, Also we give the relation between T-hollow and ET-holl. and relation between T-lifting modules and ET-lift. modules.