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- W3131076918 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." @default.
- W3131076918 created "2021-03-01" @default.
- W3131076918 creator A5075305118 @default.
- W3131076918 date "2021-04-20" @default.
- W3131076918 modified "2023-09-24" @default.
- W3131076918 title "Certain congruences on free g-dimonoids" @default.
- W3131076918 doi "https://doi.org/10.1142/s1793557122500218" @default.
- W3131076918 hasPublicationYear "2021" @default.
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