【摘要】 提出了软泛代数概念,将已有的软群、软环等概念统一纳入这一框架中,从整体上研究了软泛代数的序结构性质,证明了固定指标集和T-代数后,相应的软T-代数全体以点式序形成代数格。引入了Scott连续软泛代数概念,证明了从代数紧拓扑空间到给定T-代数的Scott连续软T-代数的全体以点式序形成代数格。更多还原

【Abstract】 This paper presents the concept of soft universal algebras such that the concepts of soft groups and soft rings are unified in this framework.Order structure properties of soft universal algebras are studied from the whole.It is proved that given an index set and a T-algebra,the corresponding soft T-algebras in the pointwise order forms an algebraic lattice. The concept of Scott continuous soft T-algebras is also introduced and it is proved that all the Scott continuous soft T-algebras from an algebraic compact topological space to a given T-algebra in the pointwise order forms an algebraic lattice.更多还原