Department of Mathematics, Farhangian University, Tehran, Iran
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.
Saidi Goraghani, S. (2022). Primary decomposition of A-ideals in MV-semimodules. Journal of Algebraic Hyperstructures and Logical Algebras, 3(4), 51-64.
MLA
S. Saidi Goraghani. "Primary decomposition of A-ideals in MV-semimodules". Journal of Algebraic Hyperstructures and Logical Algebras, 3, 4, 2022, 51-64.
HARVARD
Saidi Goraghani, S. (2022). 'Primary decomposition of A-ideals in MV-semimodules', Journal of Algebraic Hyperstructures and Logical Algebras, 3(4), pp. 51-64.
VANCOUVER
Saidi Goraghani, S. Primary decomposition of A-ideals in MV-semimodules. Journal of Algebraic Hyperstructures and Logical Algebras, 2022; 3(4): 51-64.
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