Fuzzy Projective-Injective Modules and Their Evenness Over Semi-Simple Rings
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Abstract
In this paper, we investigate the fuzzy aspects of split exact sequences, projective-injective and semi simple modules, theoretical results connecting them are supported by appropriate examples. Remarkable equivalence conditions are established to unveil the evenness of fuzzy projective-injective modules over semi simple rings. Also, towards the conclusion we have developed a procedure to compute injective dimension of a fuzzy module based on the possible length of injective resolution and illustrate its working by means of an example.
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