Detailed Information
Cited 2 time in 
Cited 2 time in 
Cited 2 time in
Metadata Downloads
New Kind of MV-Modulesopen accessNew Kind of <i>MV</i>-Modules
- Other Titles
- New Kind of <i>MV</i>-Modules
- Issue Date
- Jun-2020
- Publisher
- Atlantis Press
- Keywords
- MV-algebra; PMV-algebra; A(k)-module; Free A(k)-module; Radical of an A(k)-module; Noetherian A(k)-module
- Citation
- International Journal of Computational Intelligence Systems, v.13, no.1, pp 794 - 801
- Pages
- 8
- Indexed
- SCIE
SCOPUS
- Journal Title
- International Journal of Computational Intelligence Systems
- Volume
- 13
- Number
- 1
- Start Page
- 794
- End Page
- 801
- ISSN
- 1875-6891
1875-6883
- Abstract
- In this paper, by considering the notion of MV-modules, which is the structure that naturally correspond to lu-modules over lu-rings, we investigate some properties of a new kind of MV-modules, that we introduced in Borzooei and Saidi Goraghani, Free MV-modules, J. Intell. Fuzzy Syst. 31 (2016), 151161 as A(k)-modules. With the current situation, it was not easy for us to work on some concepts such as free MV-modules and Noetherian MV-modules. So we limited our scope of work by introducing a new kind of MV-modules. We define and study the notions of free A(k)-modules, radical of A(k)-modules and Noetherian A(k)-modules, where A is a product MV-algebra and k is an element of N. For example, we state a general representation for a free A(k)-module, and we obtain conditions in which an A(k)-module can be Noetherian. (C) 2020 The Authors. Published by Atlantis Press SARL.
- Files in This Item
- There are no files associated with this item.
- Appears in
Collections - 사범대학 > 수학교육과 > Journal Articles
Items in ScholarWorks are protected by copyright, with all rights reserved, unless otherwise indicated.