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Abstract

Let R be a commutative ring with identity, and let M be a unity R-module. M is called a bounded R-module provided that there exists an element xєM such that annR(M) = annR(x). As a generalization of this concept, a concept of semi-bounded module has been introduced as follows: M is called a semi-bounded if there exists an element xєM such that √(〖ann〗_R M)=√(〖ann〗_R (x)). In this paper, someproperties and characterizations of semi-bounded modules are given. Also, various basic results about semi-bounded modules are considered. Moreover, some relations between semi-bounded modules and other types of modules are considered

Keywords

Commutative ring, R-module, semi-bounded modules

Article Type

Article

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