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 |
|---|---|
| Pages (from-to) | 211-220 |
| Number of pages | 10 |
| Journal | Information Sciences |
| Volume | 52 |
| Issue number | 2 |
| DOIs | |
| State | Published - 1990 |
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All Science Journal Classification (ASJC) codes
- Artificial Intelligence
- Computer Science Applications
- Information Systems
- Information Systems and Management
- Statistics, Probability and Uncertainty
- Electrical and Electronic Engineering
- Statistics and Probability
Cite this
On categories of fuzzy modules. / López-Permouth, S. R.; Malik, Davender S.
In: Information Sciences, Vol. 52, No. 2, 1990, p. 211-220.Research output: Contribution to journal › Article
}
TY - JOUR
T1 - On categories of fuzzy modules
AU - López-Permouth, S. R.
AU - Malik, Davender S.
PY - 1990
Y1 - 1990
N2 - 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.
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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UR - http://www.scopus.com/inward/citedby.url?scp=0025521090&partnerID=8YFLogxK
U2 - 10.1016/0020-0255(90)90043-A
DO - 10.1016/0020-0255(90)90043-A
M3 - Article
AN - SCOPUS:0025521090
VL - 52
SP - 211
EP - 220
JO - Information Sciences
JF - Information Sciences
SN - 0020-0255
IS - 2
ER -