IJPAM: Volume 92, No. 3 (2014)
SOME PROPERTIES OF
WEAK-
-SUPPLEMENTED MODULE
WEAK-

Majid Mohammed Abed
, Abd Ghafur Ahmad
School of Mathematical Sciences
Faculty of Science and Technology
Universiti Kebangsaan Malaysia
43600 UKM, Selangor Darul Ehsan, MALAYSIA



Faculty of Science and Technology
Universiti Kebangsaan Malaysia
43600 UKM, Selangor Darul Ehsan, MALAYSIA
Abstract. In this paper we give explicit necessary and sufficient conditions for weak--supplemented module. If
is lifting module then it is weak-
-supplemented module. Moreover if we have an
-module
such that is generalized lifting module then
is weak-
-supplemented module. We prove that if
is supplemented and projective then
is weak-
-supplemented.
Received: July 6, 2013
AMS Subject Classification: 54C05, 54C08, 54C10
Key Words and Phrases: -supplemented module, amply supplemented module, weak lifting module, semisimple module, generalization lifting module
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DOI: 10.12732/ijpam.v92i3.3 How to cite this paper?
Source: International Journal of Pure and Applied Mathematics
ISSN printed version: 1311-8080
ISSN on-line version: 1314-3395
Year: 2014
Volume: 92
Issue: 3
Pages: 351 - 358
