Making modules fuzzy
type: Item
instance of: scholarly article
title: Making modules fuzzy
zbMATH Open document ID: 0681.16019
DOI: 10.1016/0165-0114(89)90089-4
author: Jonathan S. Golan
published in: Fuzzy Sets and Systems
publication date: 1989-01-01T00:00:00Z
review text: The paper shows that the notion of fuzzy module [cf. \textit{F. Z. Pan}, Fuzzy Sets Syst. 21, 105-113 (1987; Zbl 0616.16013)] is closely connected with diverse notions from module theory. E.g. the pseudonorm on a module or the hierarchy function on a category of modules generate a fuzzy module, conversely, the quasidecomposition function on a module category can be generated by a family of fuzzy modules [for suitable definitions cf. e.g. the author, Torsion theories (1986; Zbl 0657.16017)].
Mathematics Subject Classification ID: 16D80
Mathematics Subject Classification ID: 16S90
Mathematics Subject Classification ID: 16W20
Mathematics Subject Classification ID: 03E72
zbMATH DE Number: 4114831
zbMATH Keywords: pseudonorm
zbMATH Keywords: hierarchy function
zbMATH Keywords: category of modules
zbMATH Keywords: fuzzy modules
reviewed by: Józef Drewniak
MaRDI profile type: Publication
full work available at URL: 0165-0114(89)90089-4
OpenAlex ID: W2091983844
cites work: Maximality and Ultracompleteness in Normed Modules
cites work: Q4141354
cites work: Q3804856
cites work: Q4091811
cites work: Fuzzy finitely generated modules
description: scientific article; zbMATH DE number 4114831