Lower homomorphisms on additive generalized algebraic lattices | Zendy

Xueyou Chen | Zendy; Zike Deng | Zendy

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Lower homomorphisms on additive generalized algebraic lattices

Author(s) -

Xueyou Chen,

Zike Deng

Publication year - 2007

Publication title -

applied general topology

Language(s) - English

Resource type - Journals

eISSN - 1989-4147

pISSN - 1576-9402

DOI - 10.4995/agt.2007.1900

Subject(s) - homomorphism , mathematics , additive function , pointwise convergence , algebraic number , pointwise , topological space , pure mathematics , algebraic properties , function space , topology (electrical circuits) , discrete mathematics , combinatorics , mathematical analysis , network topology , computer science , operating system

In this paper, with the additivity property, the generalized way-below relation and the maximal system of subsets as tools, we prove that all lower homomorphisms between two additive generalized algebraic lattices form an additive generalized algebraic lattice, which yields the classical theorem: the function space between T0-topological spaces is also a T0-topological space with respect to the pointwise convergence topology

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