IJPAM: Volume 92, No. 3 (2014)
School of Mathematical Sciences
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
Pages: 351 - 358
This work is licensed under the Creative Commons Attribution International License (CC BY).