Radical of a-Ideals in Mv -Modules
2014 ◽
Vol 0
(0)
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Abstract In this paper, we introduce the notion of the radical of an ideal in MV - algebras. Several characterizations of this radical is given. We define the notion of a semi-maximal ideal in an MV -algebra and prove some theorems which give relations between this semi-maximal ideal and the other types of ideals in MV -algebras. Also we prove that A/I is a semi-simple MV -algebra if and only if I is a semi-maximal ideal of an MV -algebra A. The above notions are used to define the radical of A-ideals in MV -modules and investigate some properties. Mathematics Subject Classification 2010: 03B50, 03G25, 06D35
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2002 ◽
Vol 72
(3)
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pp. 427-446
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2019 ◽
Vol 27
(3)
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pp. 259-278
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