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Families of quasigroup operations satisfying the generalized distributive law.
- Source :
- Discrete Mathematics & Applications; Jun2020, Vol. 30 Issue 3, p187-202, 16p
- Publication Year :
- 2020
-
Abstract
- The previous paper was concerned with systems of equations over a certain family 𝓢 of quasigroups. In that work a method of elimination of an outermost variable from the system of equations was suggested and it was shown that further elimination of variables requires that the family 𝓢 of quasigroups satisfy the generalized distributive law (GDL). In this paper we describe families 𝓢 that satisfy GDL. The results are applied to construct classes of easily solvable systems of equations. [ABSTRACT FROM AUTHOR]
- Subjects :
- QUASIGROUPS
EQUATIONS
Subjects
Details
- Language :
- English
- ISSN :
- 09249265
- Volume :
- 30
- Issue :
- 3
- Database :
- Complementary Index
- Journal :
- Discrete Mathematics & Applications
- Publication Type :
- Academic Journal
- Accession number :
- 143877090
- Full Text :
- https://doi.org/10.1515/dma-2020-0018