New definition of MV-semimodules
| Autor: | Rajab Ali Borzooei, Sun Shin Ahn, Simin Saidi Goraghani |
|---|---|
| Rok vydání: | 2021 |
| Předmět: |
Statistics and Probability
Artificial Intelligence 010102 general mathematics 0202 electrical engineering electronic engineering information engineering General Engineering 020201 artificial intelligence & image processing 02 engineering and technology 0101 mathematics 01 natural sciences Mathematics |
| Zdroj: | Journal of Intelligent & Fuzzy Systems. 41:3715-3726 |
| ISSN: | 1875-8967 1064-1246 |
| DOI: | 10.3233/jifs-211130 |
| Popis: | 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. |
| Databáze: | OpenAIRE |
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