%0 Journal Article %T MOST RESULTS ON A-IDEALS IN MV -MODULES %J Journal of Algebraic Systems %I Shahrood University of Technology %Z 2345-5128 %A Saidi Goraghani, S. %A Borzooei, R. A. %D 2017 %\ 09/01/2017 %V 5 %N 1 %P 1-13 %! MOST RESULTS ON A-IDEALS IN MV -MODULES %K MV-algebra %K MV-module %K Prime A-ideal %R 10.22044/jas.2017.994 %X 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 $K\subseteq \bigcup _{i=1}^{n}K_{i}$ implies $K\subseteq K_{j}$, where $K,K_{1},\cdots ,K_{n}$ are A-ideals of A-module M and $1\leq j\leq n$. %U https://jas.shahroodut.ac.ir/article_994_dd6f0758634fc1dfcc2fb67c9d67677e.pdf