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arxiv: 1801.05683 · v1 · pith:KZJ74YOHnew · submitted 2018-01-17 · 🧮 math.RA

2-hom-associative bialgebras and hom-left symmetric dialgebras

classification 🧮 math.RA
keywords hom-associativebialgebrasdialgebrashom-bialgebrashom-leftpropertiessymmetricalgebraic
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From the definition and properties of unital hom-associative algebras, and the use of the Kaplansky's constructions, we develop new algebraic structures called 2-hom-associative bialgebras, 2-hom-bialgebras, and 2-2-hom-bialgebras. Besides, we devise a construction of hom-left symmetric dialgebras and discuss their main relevant properties.

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