ON THE MAXIMAL SPECTRUM OF A MODULE

Document Type : Original Manuscript

Authors

1 Department of Pure Mathematics, Faculty of Mathematical Science, University of Guilan, P.O. Box 41335-19141, Rasht, Iran.

2 Department of Mathematics, Bandar Anzali Branch, Islamic Azad University, Ban- dar Anzali, Iran.

Abstract

Let $R$ be a commutative ring with identity. The purpose of this paper is to introduce and study two classes of modules over $R$, called $\mbox{Max}$-injective and $\mbox{Max}$-strongly top modules and explore some of their basic properties. Our concern is to extend some properties of $X$-injective and strongly top modules to these classes of modules and obtain some related results.

Keywords

Journal of Algebraic Systems
Volume 5, Issue 1
September 2017
Pages 73-84

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