Abundance of isomorphic and non isomorphic C-type intermediate rings

被引：0

作者：

Bose, Bedanta ^{[1
]}

Acharyya, Sudip Kumar ^{[2
]}

机构：

[1] Swami Niswambalananda Girls Coll, Dept Math, 115 BPMB Sarani, Bhadrakali 712232, Hooghly, India

[2] Univ Calcutta, Dept Pure Math, 35 Ballygunge Circular Rd, Kolkata 700019, India

来源：

TOPOLOGY AND ITS APPLICATIONS | 2021年 / 299卷

关键词：

Real maximal ideals; Hewitt realcompactification; Types of ultrafilters; Permutation; MAXIMAL-IDEALS; SUBALGEBRAS;

D O I：

10.1016/j.topol.2021.107734

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

For a nonpseudocompact space X, the family Sigma(X) of all intermediate subrings of C(X) which contain C*(X) contains at least 2(c) many distinct rings. We show that if in addition X is first countable and realcompact, then there are at least 2(c) many C-type intermediate rings in Sigma(X) no two of which are pairwise isomorphic. With the special case X = N, it is shown that there exists a family containing c-many pairwise isomorphic C-type intermediate rings in E(N). (C) 2021 Elsevier B.V. All rights reserved.

引用

页数：6

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