Primary decomposition of A-ideals in MV-semimodules

Author(s):

S. Saidi Goraghani *

Message:
Article Type:
Research/Original Article (دارای رتبه معتبر)
Abstract:
In [16], by using an MV-semiring and an MV-algebra, we introduced the new definition  of MV-semimodule and studied some of their basic properties. In this paper, we study  and present definitions of primary ideals of MV-semirings, decomposition of ideals in  MV-semirings, primary A-ideals of MV -semimodules, and decomposition of A-ideals in MV-semimodules. Then we present some conditions that an A-ideal can have a reduced primary decomposition.
Keywords:

MV-semiring , MV-algebra , MV-semimodule , MV-module , primary ideal , primary decomposition

Language:
English
Published:
Journal of Algebraic Hyperstructures and Logical Algebras, Volume:3 Issue: 4, Autumn 2022
Pages:
51 to 64
https://www.magiran.com/p2528245