Email this article Semigroups of centered upfamilies on groups
- Authors: Gavrylkiv V.1
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Affiliations:
- Vasyl Stefanyk Precarpathian National University
- Issue: Vol 38, No 3 (2017)
- Pages: 420-428
- Section: Article
- URL: https://journals.rcsi.science/1995-0802/article/view/199206
- DOI: https://doi.org/10.1134/S1995080217030106
- ID: 199206
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Abstract
Given a group G we study right and left zeros, idempotents, the minimal ideal, left cancellable and right cancellable elements of the semigroup N<ω(G) of centered upfamilies and characterize groups G whose extensions N<ω(G) are commutative. We finish the paper with the complete description of the structure of the semigroups N<ω(G) for all groups G of cardinality |G| ≤ 4.
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About the authors
V. Gavrylkiv
Vasyl Stefanyk Precarpathian National University
Author for correspondence.
Email: vgavrylkiv@yahoo.com
Ukraine, Ivano-Frankivsk
