Shahrood University of TechnologyJournal of Algebraic Systems2345-51285120170901MOST RESULTS ON A-IDEALS IN MV -MODULES11399410.22044/jas.2017.994ENS. Saidi GoraghaniDepartment of Mathematics, University of Farhangian, Tehran, Iran.R. A. BorzooeiDepartment of Mathematics, University of Shahid Beheshti, Tehran, Iran.Journal Article20160218In the present paper, by considering the notion of<br /> MV-modules which is the structure that naturally correspond<br /> 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 $Ksubseteq bigcup _{i=1}^{n}K_{i}$ implies $Ksubseteq K_{j}$, where $K,K_{1},cdots ,K_{n}$ are A-ideals of A-module M and $1leq jleq n$.http://jas.shahroodut.ac.ir/article_994_dd6f0758634fc1dfcc2fb67c9d67677e.pdf