Direct products of cyclic semigroups and left zero semigroups in βN

被引：1

作者：

Zelenyuk, Yuliya ^{[1
]}

机构：

[1] Univ Witwatersrand, Sch Math, Private Bag 3, ZA-2050 Johannesburg, South Africa

来源：

CATEGORIES AND GENERAL ALGEBRAIC STRUCTURES WITH APPLICATIONS | 2024年 / 20卷 / 01期

基金：

新加坡国家研究基金会;

关键词：

Stone-Cech compactification; idempotent; right cancelable ultrafilter; cyclic semigroup; left zero semigroup;

D O I：

10.48308/cgasa.20.1.221

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

We show that for every n is an element of N, the direct product of the cyclic semigroup of order n and period 1 and the left zero semigroup 2 (c) has copies in beta N.

引用

页码：221 / 232

页数：12

共 10 条

[1]

Bergelson V., 2021, PROC AM MATH SOC SER, V8, P358

[2]

Davenport D., 2000, NEW YORK J MATH, V6, P73

[3] Large rectangular semigroups in Stone-Cech compactifications [J].

Hindman, N ;

Strauss, D ;

Zelenyuk, Y .

TRANSACTIONS OF THE AMERICAN MATHEMATICAL SOCIETY, 2003, 355 (07) :2795-2812

[4]

Hindman N, 1998, ALGEBRA STONE CECH C

[5]

STRAUSS D, 1992, J LOND MATH SOC, V46, P463

[6] THE CECH-STONE COMPACTIFICATION OF A DISCRETE GROUPOID [J].

VANDOUWEN, EK .

TOPOLOGY AND ITS APPLICATIONS, 1991, 39 (01) :43-60

[7] Elements of finite order in βN [J].

Zelenyuk, Yevhen .

ADVANCES IN MATHEMATICS, 2022, 408

[8]

Zelenyuk Y, 2022, NEW YORK J MATH, V28, P610

[9] Finite semigroups in βN and Ramsey theory [J].

Zelenyuk, Yevhen .

BULLETIN OF THE LONDON MATHEMATICAL SOCIETY, 2021, 53 (03) :710-722

[10] Elements of order 2 in βN [J].

Zelenyuk, Yevhen .

FUNDAMENTA MATHEMATICAE, 2021, 252 (03) :355-359

← 1 →