Equalizers and Coequalizers in the Category of Topological Molecular Lattices

Document Type : Research Paper

Authors

1 Department of Mathematices, Sirjan university of Technology, Sirjan, Iran

2 Department of Mathematics, University of Hormozgan, Bandarabbas, Iran

Abstract

A completely distributive complete lattice is called a molecular lattice. It is well known that the category TML of all topological molecular lattices with generalized order homomorphisms in the sense of Wang, is both complete and cocomplete. In this note, we give an example which shows that the structure of equalizers introduced by Zhao need not be true, in general. In particular, we present the structures of equalizers, coequalizers, monomorphisms and epimorphisms in this category.

Keywords

References

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Journal of Mahani Mathematical Research
Volume 12, Issue 1 - Serial Number 24
January 2023
Pages 161-169

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History

  • Receive Date: 06 April 2022
  • Revise Date: 09 June 2022
  • Accept Date: 03 July 2022

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