MOST RESULTS ON A-IDEALS IN MV -MODULES
Publish place: Journal of Algebraic Systems، Vol: 5، Issue: 1
Publish Year: 1396
نوع سند: مقاله ژورنالی
زبان: English
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شناسه ملی سند علمی:
JR_JAS-5-1_001
تاریخ نمایه سازی: 18 تیر 1398
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 $Ksubseteq bigcup _{i=1}^{n}K_{i}$ implies $Ksubseteq K_{j}$, where $K,K_{1},cdots ,K_{n}$ are A-ideals of A-module M and $1leq jleq n$.
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Authors
S. Saidi Goraghani
Department of Mathematics, University of Farhangian, Tehran, Iran.
R. A. Borzooei
Department of Mathematics, University of Shahid Beheshti, Tehran, Iran.