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.
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页数：6
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