RESULTS ON PRIME IDEALS IN PMV-ALGEBRAS AND MV-MODULES
Keywords:
(MV,PMV)-algebra, MV-module, ·-prime ideal, prime A-ideal, radicalAbstract
In this paper, by considering the notions of MV-modules and PMV-algebras, we study ·-prime ideals in PMV-algebras, prime A-ideals in MV-modules and investigate some properties on them. Also, we present the definitions of radical of a ·-ideal in PMV-algebras, radical of an A-ideal in MV-modules and verify some properties on them. Finally, we state a method to obtain the radical of a ·-ideal in PMV-algebras.
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Published
2017-01-31
How to Cite
Goraghani, S. S., & Borzooei, R. (2017). RESULTS ON PRIME IDEALS IN PMV-ALGEBRAS AND MV-MODULES. Italian Journal of Pure and Applied Mathematics, 37, 183–196. Retrieved from https://journals.uniurb.it/index.php/ijpam/article/view/6720
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Articoli - Forum Editrice
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Copyright (c) 2017 S. Saidi Goraghani, R.A. Borzooei
This work is licensed under a Creative Commons Attribution 4.0 International License.
L'opera è pubblicata sotto Licenza Creative Commons Attribuzione 4.0 Internazionale (CC-BY)
