In this paper we will prove some theorems on the M-ideals of compact operators and the best approximation of quasitriangular operator algebras. These results improve and extend the known results in [4, 5, 7].
In this paper, the internal structures of MS-algebras are investigated by means of the new notions of Stonean kernel and M-ideal. We determine necessary and sufficient conditions for an MS-algebra with a Kleene skelet...In this paper, the internal structures of MS-algebras are investigated by means of the new notions of Stonean kernel and M-ideal. We determine necessary and sufficient conditions for an MS-algebra with a Kleene skeleton. After introducing a special kind of principal congruence, we consider the relationship between an MS-algebra and its quotient algebra.展开更多
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
文摘In this paper we will prove some theorems on the M-ideals of compact operators and the best approximation of quasitriangular operator algebras. These results improve and extend the known results in [4, 5, 7].
文摘In this paper, the internal structures of MS-algebras are investigated by means of the new notions of Stonean kernel and M-ideal. We determine necessary and sufficient conditions for an MS-algebra with a Kleene skeleton. After introducing a special kind of principal congruence, we consider the relationship between an MS-algebra and its quotient algebra.
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.
