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On structure of the semigroups of k-linked upfamilies on groups
- Source :
- Asian-European Journal of Mathematics. 10:1750083
- Publication Year :
- 2017
- Publisher :
- World Scientific Pub Co Pte Lt, 2017.
-
Abstract
- Given a group [Formula: see text], we study right and left zeros, idempotents, the minimal ideal, left cancelable and right cancelable elements of the semigroup [Formula: see text] of [Formula: see text]-linked upfamilies and characterize groups [Formula: see text] whose extensions [Formula: see text] are commutative. We finish the paper with the complete description of the structure of the semigroups [Formula: see text] for all groups [Formula: see text] of cardinality [Formula: see text].
- Subjects :
- Discrete mathematics
Semigroup
Group (mathematics)
Computer Science::Information Retrieval
General Mathematics
010102 general mathematics
Astrophysics::Instrumentation and Methods for Astrophysics
Structure (category theory)
Computer Science::Computation and Language (Computational Linguistics and Natural Language and Speech Processing)
Minimal ideal
01 natural sciences
010101 applied mathematics
Cardinality
Idempotence
Computer Science::General Literature
Special classes of semigroups
0101 mathematics
Commutative property
Mathematics
Subjects
Details
- ISSN :
- 17937183 and 17935571
- Volume :
- 10
- Database :
- OpenAIRE
- Journal :
- Asian-European Journal of Mathematics
- Accession number :
- edsair.doi...........5597c4a91b4a0131c4e28940d56e97d1