Two results on double crossed biproducts
نویسندگان
چکیده
Let HH be an algebra with a distinguished element εH∈H∗εH∈H∗ and C,DC,D two coalgebras. Based on the construction of Brzeziński’s crossed coproduct, under some suitable conditions, we introduce coassociative coalgebra C×GTHβR×DC×TGHRβ×D which is more general two-sided coproduct structure including smash coproduct. Necessary sufficient conditions for equipped tensor product C⊗H⊗DC⊗H⊗D to bialgebra (Hopf algebra) are provided. On other hand, obtain improved version double biproduct C⋆αHβ⋆DC⋆αHβ⋆D in [An extended form Majid's biproduct, J. Algebra Appl. 16 (4), 1760061, 2017] induces description similar Majid C⋆H⋆DC⋆H⋆D also present related structures.
منابع مشابه
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ژورنال
عنوان ژورنال: Hacettepe journal of mathematics and statistics
سال: 2022
ISSN: ['1303-5010']
DOI: https://doi.org/10.15672/hujms.997154