On categories of fuzzy modules

S. R. López-Permouth; D. S. Malik

doi:10.1016/0020-0255(90)90043-A

On categories of fuzzy modules

S. R. López-Permouth, D. S. Malik

Department of Mathematics

Research output: Contribution to journal › Article › peer-review

18 Scopus citations

Abstract

We show that for any ring R the category R-fzmod of fuzzy left R-modules is a top category and an additive category. R-fzmod has products, coproducts, kernels and cokernels, but it is not an abelian category. Projective, injective and free fuzzy left R-modules are characterized.

Original language	English (US)
Pages (from-to)	211-220
Number of pages	10
Journal	Information sciences
Volume	52
Issue number	2
DOIs	https://doi.org/10.1016/0020-0255(90)90043-A
State	Published - Nov 1990

All Science Journal Classification (ASJC) codes

Software
Control and Systems Engineering
Theoretical Computer Science
Computer Science Applications
Information Systems and Management
Artificial Intelligence

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10.1016/0020-0255(90)90043-A

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abstract = "We show that for any ring R the category R-fzmod of fuzzy left R-modules is a top category and an additive category. R-fzmod has products, coproducts, kernels and cokernels, but it is not an abelian category. Projective, injective and free fuzzy left R-modules are characterized.",

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AB - We show that for any ring R the category R-fzmod of fuzzy left R-modules is a top category and an additive category. R-fzmod has products, coproducts, kernels and cokernels, but it is not an abelian category. Projective, injective and free fuzzy left R-modules are characterized.

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On categories of fuzzy modules

Abstract

All Science Journal Classification (ASJC) codes

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