The notions of M-hemirings and L-fuzzy left h-ideals with operators in M-hemirings are introduced, and some properties are investigated. Given an L-fuzzy left h-ideal with operators, a new L-fuzzy left h-ideal with op...The notions of M-hemirings and L-fuzzy left h-ideals with operators in M-hemirings are introduced, and some properties are investigated. Given an L-fuzzy left h-ideal with operators, a new L-fuzzy left h-ideal with operators is established. Using a collection of left M-h-ideals, L-fuzzy left h-ideals with operators are constructed. Moreover, the concept of M-Notherian M-hemiring is introduced and its characterization is given.展开更多
基金Foundation item： The NNSF （60474022） of China and the Key Science Foundation （2004Z002, D200529001） of Education Committee of Hubei Province.Acknowledgements The authors are highly grateful to referees for their valuable comments and suggestions for improving the paper.
文摘The notions of M-hemirings and L-fuzzy left h-ideals with operators in M-hemirings are introduced, and some properties are investigated. Given an L-fuzzy left h-ideal with operators, a new L-fuzzy left h-ideal with operators is established. Using a collection of left M-h-ideals, L-fuzzy left h-ideals with operators are constructed. Moreover, the concept of M-Notherian M-hemiring is introduced and its characterization is given.
