MOST RESULTS ON A-IDEALS IN MV -MODULES

Saidi Goraghani, S.; Borzooei, R. A.

doi:10.22044/jas.2017.994

MOST RESULTS ON A-IDEALS IN MV -MODULES

Document Type : Original Manuscript

Authors

S. Saidi Goraghani ¹
R. A. Borzooei ²

¹ Department of Mathematics, University of Farhangian, Tehran, Iran.

² Department of Mathematics, University of Shahid Beheshti, Tehran, Iran.

10.22044/jas.2017.994

Abstract

In the present paper, by considering the notion of
MV-modules which is the structure that naturally correspond
to lu-modules over lu-rings, we prove some results on prime A-ideals and state some conditions to obtain a prime A-ideal in MV-modules. Also, we state some conditions that an A-ideal is not prime and investigate conditions that

K \subseteq ⋃_{i = 1}^{n} K_{i}

implies

K \subseteq K_{j}

, where

K, K_{1}, \dots, K_{n}

are A-ideals of A-module M and

1 \leq j \leq n

Keywords

MV-algebra
MV-module
Prime A-ideal

Volume 5, Issue 1
September 2017
Pages 1-13

MOST RESULTS ON A-IDEALS IN MV -MODULES

Volume 5, Issue 1September 2017Pages 1-13

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Volume 5, Issue 1
September 2017
Pages 1-13