On $alpha $-semi-Short Modules
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Abstract:
We introduce and study the concept of $alpha $-semi short modules.Using this concept we extend some of the basic results of $alpha $-short modules to $alpha $-semi short modules.We observe that if $M$ is an $alpha $-semi short module then the dual perfect dimension of $M$ is $alpha $ or $alpha +1$.%In particular, if a semiprime ring $R$ is $alpha $-semi short as an $R$-module, then its Noetherian dimension either is $alpha$ or $alpha +1$.
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Journal title
volume 6 issue 2
pages 91- 99
publication date 2019-01-01
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