Communications in Algebra · 2019 · 14 citations · 16 references
Geometry Of NumberFinite GeometryComputational Number TheoryRank 1Least Semigroup CongruenceFree TrioidModulus ProblemAlgebraic CombinatoricsTransformation SemigroupsUniversal AlgebraResidue SystemCertain Congruences
Loday and Ronco introduced the notion of a trioid and constructed the free trioid of rank 1. This paper is devoted to the study of congruences on trioids. We characterize the least dimonoid congruences and the least semigroup congruence on the free (commutative, rectangular) trioid.
16
Loday-Type Algebras and the Rota–Baxter Relation
Kurusch Ebrahimi‐Fard · Letters in Mathematical Physics · 2002 · 188 citations · Full text
Embedding of dendriform algebras into Rota-Baxter algebras
Vsevolod Gubarev, P. S. Kolesnikov · Open Mathematics · 2012 · 67 citations · Full text