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2018 | 47 | 4 |
Tytuł artykułu

On Injective MV-Modules

Treść / Zawartość
Warianty tytułu
Języki publikacji
EN
Abstrakty
EN
In this paper, by considering the notion of MV-module, which is the structure that naturally correspond to lu-modules over lu-rings, we study injective MV-modules and we investigate some conditions for constructing injective MV-modules. Then we define the notions of essential A-homomorphisms and essential extension of A-homomorphisms, where A is a product MV-algebra, and we get some of there properties. Finally, we prove that a maximal essential extension of any A-ideal of an injective MV-module is an injective A-module, too.
Rocznik
Tom
47
Numer
4
Opis fizyczny
Daty
wydano
2018-12-30
Twórcy
  • Shahid Beheshti University, Department of Mathematics
  • Farhangian University, Department of Mathematics
Bibliografia
  • R. A. Borzooei, S. Saidi Goraghani, Free MV-modules, Journal of Intelligent and Fuzzy System 31(1) (2016), pp. 151–161.
  • C. C. Chang, Algebraic analysis of many-valued logic, Transactions of the American Mathematical Society 88 (1958), pp. 467–490.
  • R. Cignoli, I. M. L. D,Ottaviano, D. Mundici, Algebraic Foundations of Many-valued Reasoning, Kluwer Academic, Dordrecht, (2000).
  • A. Di Nola, A. Dvurečenskij, Product MV-algebras,Multiple-Valued Logics 6 (2001), pp. 193–215.
  • A. Di Nola, P. Flondor, I. Leustean, MV-modules, Journal of Algebra 267 (2003), pp. 21–40.
  • A. Dvurečenskij, On Partial addition in Pseudo MV-algebras, Proceedings of the Fourth International Symposium on Economic Informatics (1999), pp. 952–960.
  • F. Forouzesh, E. Eslami, A. Borumand Saeid, On Prime A-ideals in MV-modules, University Politechnica of Bucharest Scientific Bulletine 76 (2014), pp. 181–198.
  • S. Saidi Goraghani, R. A. Borzooei, Injective MV-modules, Presented at 6th Iranian Joint Congress on Fuzzy and Intelligent Systems (CFIS), (2018), Kerman, Iran.
  • S. Saidi Goraghani, R. A. Borzooei, Prime ·-Ideals and Fuzzy Prime ·-Ideals in PMV-algebras, Annals of Fuzzy Mathematics and Informatics 12(4) (2016), pp. 527–538.
  • S. Saidi Goraghani, R. A. Borzooei, Results on Prime Ideals in PMV-algebras and MV-modules, Italian Journal of Pure and Applied Mathematics 37 (2017), pp. 183–196.
Typ dokumentu
Bibliografia
Identyfikatory
Identyfikator YADDA
bwmeta1.element.ojs-doi-10_18778_0138-0680_47_4_04
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