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 | |
| 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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Cite this
López-Permouth, S. R., & Malik, D. S. (1990). On categories of fuzzy modules. Information sciences, 52(2), 211-220. https://doi.org/10.1016/0020-0255(90)90043-A