Lower homomorphisms on additive generalized algebraic lattices

Xueyou Chen; Zike Deng

doi:10.4995/agt.2007.1900

Authors

Xueyou Chen Shandong University of Technology
Zike Deng Hunan University

DOI:

https://doi.org/10.4995/agt.2007.1900

Keywords:

Additivity, Generalized way below relation, Lower homomorphism, Upper adjoint

Abstract

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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Author Biographies

Xueyou Chen, Shandong University of Technology

School of Mathematics and Information Science

Zike Deng, Hunan University

School of Mathematics and Economics

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