Spectra and reticulation of semihoops-Reference-Cited by-同舟云学术

Spectra and reticulation of semihoops

Published:2022-01-01 Issue:1 Volume:20 Page:1276-1287
ISSN:2391-5455
Container-title:Open Mathematics
language:en
Short-container-title:

Author:

Tang Yu Jie¹,Xin Xiao Long¹²,Zhou Xin¹

Affiliation:

1. School of Science, Xi’an Polytechnic University , Xi’an, 710048 , China

2. School of Mathematics, Northwest University , Xi’an, 710127 , China

Abstract

Abstract In this article, we further study the filter theory of semihoops. Moreover, we use the prime (maximal) filters to construct the prime (maximal) spectrum on semihoops, and prove that the prime spectrum is a compact

T 0

{T}_{0}

topological space and that the maximal spectrum is a compact

T 2

{T}_{2}

topological space. As an application, in order to study the relationship between the spectrum of semihoops and the spectrum of lattices, we introduce the reticulations of semihoops and obtain some related results.

Publisher

Walter de Gruyter GmbH

Subject

General Mathematics

Link

https://www.degruyter.com/document/doi/10.1515/math-2022-0486/pdf

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