Varieties of groupoids determined by short linear identities
Varieties of idempotent commutative groupoids
Varieties of idempotent groupoids with small clones
We give an equational description of all idempotent groupoids with at most three essentially n-ary term operations.
Varieties of idempotent medial n-quasigroups
Varieties of idempotent slim groupoids
Idempotent slim groupoids are groupoids satisfying and . We prove that the variety of idempotent slim groupoids has uncountably many subvarieties. We find a four-element, inherently nonfinitely based idempotent slim groupoid; the variety generated by this groupoid has only finitely many subvarieties. We investigate free objects in some varieties of idempotent slim groupoids determined by permutational equations.
Varieties of quasigroups determined by short strictly balanced identities
Vector valued semigroups.
Weak inverse property loops and some isotopy-isomorphy properties.
When is it hard to show that a quasigroup is a loop?
We contrast the simple proof that a quasigroup which satisfies the Moufang identity is necessarily a loop (Moufang loop) with the remarkably involved prof that a quasigroup which satisfies the Moufang identity is likewise necessarily a Moufang loop and attempt to explain why the proofs are so different in complexity.
Zentren und Nuclei von n-Loops
Zum Problem des Isomorphismus der direkten Produkte von Gruppoiden
Zur Einbettung von -Pseudoscharen in Halbgruppen
, -transitive groupoids
-extensions of discrete multivalued groups.
Абстрактная характеристика (2,n)-полугрупп n-арных операций
Автотопии и антиавтотопии в квазигруппах
Алгебра Грецера и S-системы квазигрупп
Алгебраические структуры нелинейной геометрической алгебры
Амальгама ядер лупы
Ассоциативные в целом системы квазигрупп