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The Fundamental Theorem of Ultraproducts in Lattice valued Model for L_α Logic
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作者 《Chinese Quarterly Journal of Mathematics》 CSCD 1998年第2期5-9, ,共5页
In this paper we add some new corcollary and theorems to [1],in particular,we show the fundamental theorem of ultraproducts in lattice valued model for L α logic. As a corollary,we get the α compactness theorem for... In this paper we add some new corcollary and theorems to [1],in particular,we show the fundamental theorem of ultraproducts in lattice valued model for L α logic. As a corollary,we get the α compactness theorem for L_α logic. 展开更多
关键词 ULTRAPRODUCT lattice valued model L_α language
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On ultraproducts of operator algebras
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作者 LI Weihua 《Science China Mathematics》 SCIE 2005年第9期1284-1295,共12页
Some basic questions on ultraproducts of C~*-algebras and von Neumann al- gebras,including the relation to K-theory of C~*-algebras are considered.More specifically, we prove that under certain conditions,the K-groups... Some basic questions on ultraproducts of C~*-algebras and von Neumann al- gebras,including the relation to K-theory of C~*-algebras are considered.More specifically, we prove that under certain conditions,the K-groups of ultraproduct of C~*-algebras are iso- morphic to the ultraproduct of respective K-groups of C~*-algebras.We also show that the ultraproducts of factors of type Ⅱ_1 are prime,i.e.not isomorphic to any non-trivial tensor product. 展开更多
关键词 von NEUMANN algebras C*-algebras ultraproducts K-group DOUBLE commutants.
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On the Model Properties of BCK Algebras
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作者 LIANGJun-qi 《Chinese Quarterly Journal of Mathematics》 CSCD 2004年第3期300-305,共6页
This paper is devoted to the study of the logical properties of BCK algebras. For formalized BCK algebra theory T, it is proved that T is preserved under submodels and unions of chains; T is neither complete nor model... This paper is devoted to the study of the logical properties of BCK algebras. For formalized BCK algebra theory T, it is proved that T is preserved under submodels and unions of chains; T is neither complete nor model complete, and hence there exist no built-in Skolem function. Moreover, the ultraproduct BCK algebras and the fuzzy ultraproduct of fuzzy subsets of BCK algebras were proposed by using the concept of ultrafilters with corresponding properties of fuzzy ideals discussed. 展开更多
关键词 BCK algebra mode complete COMPLETE ULTRAPRODUCT fuzzy ultraproduct
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ON A GENERALIZED MODULUS OF CONVEXITY AND UNIFORM NORMAL STRUCTURE
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作者 杨长森 王丰辉 《Acta Mathematica Scientia》 SCIE CSCD 2007年第4期838-844,共7页
In this article, the authors study a generalized modulus of convexity, δ(α) (ε). Certain related geometrical properties of this modulus are analyzed. Their main result is that Banach space X has uniform normal ... In this article, the authors study a generalized modulus of convexity, δ(α) (ε). Certain related geometrical properties of this modulus are analyzed. Their main result is that Banach space X has uniform normal structure if there exists ε, 0 ≤e≤ 1, such that δ^(α)(1+ε ) 〉 (1- α)ε. 展开更多
关键词 Generalized modulus of convexity uniform normal structure ULTRAPRODUCT
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