$(m,n)$-algebraically compactness and $(m,n)$-pure injectivity

نویسندگان

mahmood behboodi

atefeh ghorbani

seyed hossein shojaee

چکیده

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.

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عنوان ژورنال:
bulletin of the iranian mathematical society

ناشر: iranian mathematical society (ims)

ISSN 1017-060X

دوره 40

شماره 2 2014

میزبانی شده توسط پلتفرم ابری doprax.com

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