A Compact Monothetic Semitopological Semigroup Whose Set of Idempotents Is Not Closed

被引：0

作者：

A. Bouziad

M. Lemańczyk

M. K. Mentzen

机构：

来源：

Semigroup Forum | 2001年 / 62卷

关键词：

Weak Topology; Semigroup Forum; Borel Subset; Invertible Element; Strong Topology;

D O I：

暂无

中图分类号：

学科分类号：

摘要：

For each monothetic unitary group without proper co-compact subgroups, we show the existence of a compact semitopological semigroup (affine) compactification in which the set of idempotents is not closed answering a question of Berglund.

引用

页码：98 / 102

页数：4

共 30 条

[1] A compact monothetic semitopological semigroup whose set of idempotents is not closed
Bouziad, A
Lemanczyk, M
Mentzen, MK
SEMIGROUP FORUM, 2001, 62 (01) : 98 - 102
[2] IDEMPOTENTS OF COMPACT MONOTHETIC SEMIGROUPS
BROWN, G
MORAN, W
PROCEEDINGS OF THE LONDON MATHEMATICAL SOCIETY, 1971, 22 (MAY) : 203 - &
[3] When a locally compact monothetic semigroup is compact
Zelenyuk, Yevhen
Zelenyuk, Yuliya
JOURNAL OF GROUP THEORY, 2020, 23 (06) : 983 - 989
[4] ON INVERSE-SEMIGROUPS THE CLOSURE OF WHOSE SET OF IDEMPOTENTS IS A CLIFFORD SEMIGROUP
BILLHARDT, B
SEMIGROUP FORUM, 1992, 44 (03) : 320 - 331
[5] A locally compact noncompact monothetic semigroup with identity
Zelenyuk, Yevhen
FUNDAMENTA MATHEMATICAE, 2019, 245 (01) : 101 - 107
[6] THE SET OF IDEMPOTENTS OF A COMPLETELY REGULAR SEMIGROUP AS A BINARY ALGEBRA
BROEKSTEEG, R
BULLETIN OF THE AUSTRALIAN MATHEMATICAL SOCIETY, 1994, 50 (01) : 91 - 107
[7] RINGS WHOSE IDEMPOTENTS FORM A MULTIPLICATIVE SET
Cvetko-Vah, Karin
Leech, Jonathan
COMMUNICATIONS IN ALGEBRA, 2012, 40 (09) : 3288 - 3307
[8] On superabundant semigroups whose set of idempotents forms a subsemigroup
Ren, X. M.
Shum, K. P.
ALGEBRA COLLOQUIUM, 2007, 14 (02) : 215 - 228
[9] PARTIAL KERNEL NORMAL SYSTEMS FOR A SEMIGROUP WITH NON-EMPTY SET OF IDEMPOTENTS
Zheng, Hengwu
JP JOURNAL OF ALGEBRA NUMBER THEORY AND APPLICATIONS, 2014, 34 (02): : 151 - 162
[10] The set of idempotents in the weakly almost periodic compactification of the integers is not closed
Bordbar, B
Pym, J
TRANSACTIONS OF THE AMERICAN MATHEMATICAL SOCIETY, 2000, 352 (02) : 823 - 842

← 1 2 3 →