Certain congruences on free g-dimonoids
Anatolii V. Zhuchok
Source record
Source: Crossref
Published: Apr 20, 2021
DOI: 10.1142/s1793557122500218
Open original source ↗Source abstract
Loday introduced the notions of a dimonoid and a dialgebra, and constructed the free dimonoid and the free dialgebra. The [Formula: see text]-dimonoids are a natural generalization of dimonoids and every [Formula: see text]-dialgebra with associative operations is a linear analog of a [Formula: see text]-dimonoid. This paper is devoted to the study of congruences on [Formula: see text]-dimonoids. We characterize the least dimonoid congruence and the least semigroup congruence on the free (commutative, [Formula: see text]-nilpotent) [Formula: see text]-dimonoid. The obtained results can be applied to the theory of [Formula: see text]-dialgebras with associative operations.
Evidence graph
No public relationships recorded yet.
Integrity note: This page is a factual metadata record created by deterministic ingestion. It is not a claim that the work moves a mathematical frontier or has been independently verified.