Journal of applied mathematics & informatics
- Volume 17 Issue 1_2_3
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- Pages.679-687
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- 2005
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- 2734-1194(pISSN)
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- 2234-8417(eISSN)
ON A QUASI-POWER MODULE
- PARK CHIN HONG (Department of Mathematics, Sunmoon University) ;
- SHIM HONG TAE (Department of Mathematics, Sunmoon University)
- Published : 2005.01.01
Abstract
In this paper we shall give a new definition for a quasi-power module P(M) and discuss some properties for P(M). The quasi-power module P(M) is a direct sum of invertible quasi-submodules C(H)'s of P(M) and then the quasi-submodule C(H) is also a direct sum of strongly cyclic quasi-submodules of C(H). When M is a quasi-perfect right R-module, we shall see that the quasi-power module P(M) is invertible.
Keywords
- Strongly cyclic module;
- quasi-power module;
- ring-module;
- regular;
- invertible;
- perfect module;
- element-independent;
- quasi-perfect