scispace - formally typeset
Search or ask a question
Topic

Bicyclic semigroup

About: Bicyclic semigroup is a research topic. Over the lifetime, 1507 publications have been published within this topic receiving 19311 citations.


Papers
More filters
Posted Content
TL;DR: In this article, ring-theoretic properties of a Noetherian domain that reflect reciprocally in the Clifford or Boolean property of its t-class semigroup are investigated.
Abstract: The t-class semigroup of an integral domain is the semigroup of fractional t-ideals modulo its subsemigroup of nonzero principal ideals with the operation induced by ideal t-multiplication. This paper investigates ring-theoretic properties of a Noetherian domain that reflect reciprocally in the Clifford or Boolean property of its t-class semigroup.

8 citations

Journal ArticleDOI
TL;DR: In this paper, the set of all numerical semigroups with Frobenius number g is defined, and the generators of this semigroup are studied, where g is a positive integer.

8 citations

Journal ArticleDOI
TL;DR: In this article, it was shown that for many spaces X the semigroup I G ( X ) is 0-simple. But it was also shown that the largest proper congruence on I G( X ) can be found in many instances, in the sense that the spaces X and Y are homeomorphic.
Abstract: The symbol I G ( X ) denotes the inverse semigroup, under composition of functions, of all homeomorphisms between open subsets of a T 1 topological space X . The first result is that two such semigroups I G ( X ) and I G ( Y ) are isomorphic if and only if the spaces X and Y are homeomorphic. Ideals of I G ( X ) are next examined and it is shown that for many spaces X the semigroup I G ( X ) is 0-simple. We also look at congruences on I G ( X ); one result is that we determine a congruence which in many instances is the largest proper congruence on I G ( X ).

8 citations

Journal ArticleDOI
TL;DR: In this paper, the approximate amenability of semigroup algebra l 1 (S ) is investigated, where (S) is a uniformly locally finite inverse semigroup and S is a band semigroup.

7 citations

Journal ArticleDOI
01 Nov 2008
TL;DR: In this paper, it was shown that l 1(S) is (2k + 1)-weakly amenable for k ∈ Ω(Ω+1).
Abstract: Let S be a Rees matrix semigroup. We show that l 1(S) is (2k + 1)-weakly amenable for k ∈ ℤ+.

7 citations


Network Information
Related Topics (5)
Semigroup
16.4K papers, 250.1K citations
87% related
Banach space
29.6K papers, 480.1K citations
82% related
Metric space
18.4K papers, 351.9K citations
82% related
Ring (mathematics)
19.9K papers, 233.8K citations
81% related
Interpolation space
8.1K papers, 243.3K citations
81% related
Performance
Metrics
No. of papers in the topic in previous years
YearPapers
202312
202229
20217
20203
20194
201810