Detailed Information
Cited 2 time in 
Cited 0 time in 
Cited 0 time in
Metadata Downloads
New definition of MV-semimodules
- Issue Date
- 2021
- Publisher
- IOS PRESS
- Keywords
- MV-semiring; MV-algebra; MV-module; MV-semimodule; Q-ideal; prime A-ideal
- Citation
- JOURNAL OF INTELLIGENT & FUZZY SYSTEMS, v.41, no.2, pp 3715 - 3726
- Pages
- 12
- Indexed
- SCIE
SCOPUS
- Journal Title
- JOURNAL OF INTELLIGENT & FUZZY SYSTEMS
- Volume
- 41
- Number
- 2
- Start Page
- 3715
- End Page
- 3726
- ISSN
- 1064-1246
1875-8967
- Abstract
- In recent years, A. Di Nola et al. studied the notions of MV-semiring and semimodules and investigated related results [9, 10, 12, 26]. Now in this paper, by using an MV-semiring and an MV-algebra, we introduce the new definition of MV-semimodule, study basic properties and find some examples. Then we study A-ideals on MV-semimodules and Q-ideals on MV-semirings, and by using them, we study the quotient structures of MV-semimodule. Finally, we present the notions of prime A-ideal, torsion free MV-semimodule and annihilator on MV-semimodule and we study the relations among them.
- Files in This Item
- There are no files associated with this item.
- Appears in
Collections - College of Education > Department of Mathematics Education > 1. Journal Articles
Items in ScholarWorks are protected by copyright, with all rights reserved, unless otherwise indicated.
Related Researcher
- Ahn, Sun Shin
- College of Education (Department of Mathematics Education)