Free $n$-nilpotent trioids

Author
Yul. V. Zhuchok
Department of Algebra and System Analysis, Luhansk Taras Shevchenko National University
Abstract
We introduce the notion of a nilpotent trioid, construct a free n-nilpotent trioid and describe its structure. We also characterize the least n-nilpotent congruence on a free trioid and give examples of nilpotent trioids of nilpotency index 2.
Keywords
trioid; nilpotent trioid; free n-nilpotent trioid; dimonoid; semigroup; congruence
DOI
doi:10.15330/ms.43.1.3-11
Reference
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Pages
3-11
Volume
43
Issue
1
Year
2015
Journal
Matematychni Studii
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