Author/Authors :
SAIDI GORAGHANI S. نويسنده Department of Mathematics, University of Farhangian, Tehran, Iran. , BORZOOEI R. A نويسنده Department of Mathematics, University of Shahid Beheshti, Tehran, Iran.
Abstract :
Abstract. In the present paper, by considering the notion ofMV
-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
?n
i=1 Ki implies K Kj , where
K;K1; ;Kn are A-ideals of A-module M and 1 j n.