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Communications in Algebra Volume 49, 2021 - Issue 2
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Research Article

Free left n-trinilpotent trioids

Anatolii V. ZhuchokDepartment of Algebra and System Analysis, Luhansk Taras Shevchenko National University, Starobilsk, UkraineCorrespondence[email protected]
&
Yana A. KrykliaDepartment of Algebra and System Analysis, Luhansk Taras Shevchenko National University, Starobilsk, Ukraine
Pages 467-481 | Received 28 May 2020, Accepted 22 Jul 2020, Published online: 28 Aug 2020
 
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Abstract

Loday and Ronco introduced the notion of a trioid and presented the free trioid of rank 1. We introduce the variety of left (right) n-trinilpotent trioids which are analogs of left (right) nilpotent semigroups of rank n considered by Schein, and construct the free left (right) n-trinilpotent trioid.

2000 MATHEMATICS SUBJECT CLASSIFICATION:

Acknowledgment

The authors are grateful to the referee for helpful suggestions.

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