Excision Theory In The Dihedral And Reflexive (Co) Homology Of Algebras

COGENT MATHEMATICS & STATISTICS(2021)

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Abstract
In this paper, we study an excision theorem of the dihedral and reflexive (co)homology theory of associative algebras. That is, for such an extension, we obtain a six-term exact sequence in the dihedral cohomology. Also, we present and prove the relation between cyclic and dihedral cohomology of algebras and some examples.
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Key words
Exact sequence, excision, H-unital, dihedral homology, reflexive cohomology Jel codes: 5N91, 55P91, 55R25
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