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The spectrum of a variety of modular groupoids
Authors: R. A. R. Monzo
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Abstract
We prove that the spectrum of the variety of idempotent, right modular and anti-rectangular groupoids consists of all powers of four. We also prove that any finite or countable groupoid anti-isomorphic to a groupoid in that variety is isomorphic to it. Finally, it is proved that, to within isomorphism, there is only one countable groupoid in that variety and that it is isomorphic to a proper subgroupoid of itself.Fulltext
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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
