@article { author = {Saidi Goraghani, S.}, title = {Primary decomposition of A-ideals in MV-semimodules}, journal = {Journal of Algebraic Hyperstructures and Logical Algebras}, volume = {3}, number = {4}, pages = {51-64}, year = {2022}, publisher = {University of Hatef (Hatef College University)}, issn = {2676-6000}, eissn = {2676-6019}, doi = {10.52547/HATEF.JAHLA.3.4.4}, 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}, url = {https://jahla.hatef.ac.ir/article_158947.html}, eprint = {https://jahla.hatef.ac.ir/article_158947_a719239223d28f92e05adfeae0edbdae.pdf} }