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7. (m, n)-ALGEBRAICALLY COMPACTNESS FOR MODULES AND (m, n)-PURE INJECTIVITY.

Author

BEHBOODI, M., GHORBANI, A., and SHOJAEE, S. H.

Subjects
ALGEBRA, COMMUTATIVE rings, INJECTIVE functions, MODULES (Algebra), ABELIAN groups
Abstract

In this paper, we introduce the notion of (m, n)-algebraically compact modules as an analogue of algebraically compact modules and then we show that (m, n)-algebraically compactness and (m, n)-pure injectivity for modules coincide. Moreover, further characterizations of a (m, n)-pure injective module over a commutative ring are given. [ABSTRACT FROM AUTHOR]

Published
2014

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