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Free commutative medial n-ary groupoids
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Sergey S. Davidov
Published/Copyright:
August 7, 2015
Abstract
The solvability of the equational theory of commutative medial n-ary groupoids is in the paper used to describe the structure of the free commutative medial n-ary groupoid and to demonstrate that a commutative medial n-ary groupoid has a convex linear representation.
Keywords: medial groupoids; convex linear representations
Received: 2013-6-20
Published Online: 2015-8-7
Published in Print: 2015-8-1
© 2015 by Walter de Gruyter Berlin/Boston
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Articles in the same Issue
- Frontmatter
- On groups with automorphisms generating recurrent sequences of the maximal period
- Classification of correlation-immune and minimal correlation-immune Boolean functions of 4 and 5 variables
- Free commutative medial n-ary groupoids
- Complexity of implementation of parity functions in the implication–negation basis
- Closed classed of three-valued logic that contain essentially multiplace functions
- A generalization of Ore’s theorem on irreducible polynomials over a finite field
- Rings whose finitely generated right ideals are quasi-projective
Articles in the same Issue
- Frontmatter
- On groups with automorphisms generating recurrent sequences of the maximal period
- Classification of correlation-immune and minimal correlation-immune Boolean functions of 4 and 5 variables
- Free commutative medial n-ary groupoids
- Complexity of implementation of parity functions in the implication–negation basis
- Closed classed of three-valued logic that contain essentially multiplace functions
- A generalization of Ore’s theorem on irreducible polynomials over a finite field
- Rings whose finitely generated right ideals are quasi-projective
