Varieties of rectangular quasigroups
Authors: A. Krapez
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Abstract
For the given variety V of quaisgroups, the class of all rectangular V-quasigroups is defined as the class of all groupoids isomorphic to the direct product of L, Q and R, where Q is from V and L (R) is a left (right) zero semigroup. The identities axiomatizing the new class are given, proving that it is a variety in the language of the original variety.Fulltext
– 0.22 Mb
Contents
- The varieties of Bol-Moufang quasigroups defined by a single operation
- On WIP loops
- Parametrization of actions of a subgroup of the modular group
- A Zariski topology for k-semirings
- Some enumerational results relating the numbers of latin and frequency squares of order n
- Some results on E-inversive semigroups
- On fuzzy ordered semigroups
- Varieties of rectangular quasigroups
- Essential operations of clones
- The spectrum of a variety of modular groupoids
- Right k-weakly regular hemirings
- Congruences of ternary semigroups
- Quotient hyper residuated lattices
