For cocommutative Hopf dialgebras the set-like rack is naturally isomorphic to the conjugation rack of the group-like digroup, and every finite generalized digroup arises as the group-like elements of its digroup algebra.
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2 Pith papers cite this work. Polarity classification is still indexing.
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Introduces diderivations in dialgebras via multiplicative operators and Leibniz algebra constructions, then classifies the spaces completely for dimensions 2 and 3.
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Cocommutative Hopf Dialgebras and Rack Combinatorics
For cocommutative Hopf dialgebras the set-like rack is naturally isomorphic to the conjugation rack of the group-like digroup, and every finite generalized digroup arises as the group-like elements of its digroup algebra.
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Derivations in Dialgebras Derivations and Biderivations in Dialgebras
Introduces diderivations in dialgebras via multiplicative operators and Leibniz algebra constructions, then classifies the spaces completely for dimensions 2 and 3.