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A new characterization of a proper type B semigroup
- Source :
- Open Mathematics, Vol 18, Iss 1, Pp 1590-1600 (2020)
- Publication Year :
- 2020
- Publisher :
- Walter de Gruyter GmbH, 2020.
-
Abstract
- In this paper, we develop the elementary theory of inverse semigroups to the cases of type B semigroups. The main aim of this paper is to study proper type B semigroups. We introduce first the concept of a left admissible triple. After obtaining some basic properties of left admissible triple, we give the definition of a Q-semigroup and get a structure theorem of Q-semigroup. In particular, we introduce the notion of an admissible triple and give some characterization of proper type B semigroups. It is proved that an arbitrary Q-semigroup with an admissible triple is an E-unitary type B semigroup.
- Subjects :
- type b semigroup
Pure mathematics
20m10
Mathematics::Operator Algebras
Semigroup
Computer Science::Information Retrieval
General Mathematics
010102 general mathematics
e-unitary
proper
0102 computer and information sciences
Characterization (mathematics)
Type (model theory)
01 natural sciences
06f05
010201 computation theory & mathematics
q-semigroup
QA1-939
0101 mathematics
Mathematics
Subjects
Details
- ISSN :
- 23915455
- Volume :
- 18
- Database :
- OpenAIRE
- Journal :
- Open Mathematics
- Accession number :
- edsair.doi.dedup.....cc183320c329e17d80c44ccbd5ddcb5d