The structure space of C−(X) via that of Γ-semirings

Author:

Basu Soumi1,Mukherjee (Goswami) Sarbani2,Sardar Sujit Kumar1

Affiliation:

1. Department of Mathematics, Jadavpur University, Kolkata, West Bengal, India

2. Department of Mathematics, Lady Brabourne College, Kolkata, West Bengal, India

Abstract

The structure spaces, endowed with the hull kernel topology, of maximal regular congruences, which are prime on a [Formula: see text]-semiring as well as the structure space of prime congruences on a [Formula: see text]-semiring, have been studied via operator semirings. This study has been used to obtain some important results of the structure space of [Formula: see text] of nonpositive real valued continuous functions over a topological space [Formula: see text]. It has been found that the structure spaces of the semiring [Formula: see text] of nonnegative real valued continuous functions and the [Formula: see text]-semiring [Formula: see text] are homeomorphic. Moreover it has been shown that the structure space of [Formula: see text] is the Stone–Čech compactification of [Formula: see text], where [Formula: see text] is a Tychonoff space. Furthermore, the [Formula: see text]-semiring analogue of the ‘Banach–Stone Theorem’ has been obtained.

Publisher

World Scientific Pub Co Pte Ltd

Subject

General Mathematics

同舟云学术

1.学者识别学者识别

2.学术分析学术分析

3.人才评估人才评估

"同舟云学术"是以全球学者为主线,采集、加工和组织学术论文而形成的新型学术文献查询和分析系统,可以对全球学者进行文献检索和人才价值评估。用户可以通过关注某些学科领域的顶尖人物而持续追踪该领域的学科进展和研究前沿。经过近期的数据扩容,当前同舟云学术共收录了国内外主流学术期刊6万余种,收集的期刊论文及会议论文总量共计约1.5亿篇,并以每天添加12000余篇中外论文的速度递增。我们也可以为用户提供个性化、定制化的学者数据。欢迎来电咨询!咨询电话:010-8811{复制后删除}0370

www.globalauthorid.com

TOP

Copyright © 2019-2024 北京同舟云网络信息技术有限公司
京公网安备11010802033243号  京ICP备18003416号-3