Characterization of rings using finite-direct-injective modules
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DOI: 10.1142/s1793557120501338
Abstract: In this paper, we characterize strongly right [Formula: see text]-rings in terms of finite-direct-injective modules which is a generalization of direct-injective modules (or [Formula: see text]-modules). Using this result, we give an example of a… read more here.
Keywords: module; injective modules; finite direct; formula see ... See more keywords
Semisimple-direct-injective modules
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DOI: 10.15672/hujms.730907
Abstract: The notion of simple-direct-injective modules which are a general- ization of injective modules unifies C2 and C3-modules. In the present paper, we introduce the notion of the semisimple-direct-injective module which gives a unified viewpoint of… read more here.
Keywords: semisimple direct; injective modules; right module; direct injective ... See more keywords