$(m,n)$-algebraically compactness and $(m,n)$-pure injectivity
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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.
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Journal title
volume 40 issue 2
pages 433- 445
publication date 2014-04-01
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