Noncommutative differential calculus structure on secondary Hochschild (co)homology

نویسندگان

چکیده

Let B be a commutative algebra and A B-algebra (determined by an homomorphism ?:B?A). M. D. Staic introduced Hochschild like cohomology H•((A,B,?);A) called secondary cohomology, to describe the non-trivial deformations of A. J. Laubacher et al later obtained natural construction new chain complex C¯•(A,B,?) in process introducing cyclic (co)homology. In this paper, we establish connection between two (co)homology theories for We show that pair (H•((A,B,?);A),HH•(A,B,?)) forms noncommutative differential calculus, where HH•(A,B,?) denotes homology C¯•(A,B,?).

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ژورنال

عنوان ژورنال: Communications in Algebra

سال: 2021

ISSN: ['1532-4125', '0092-7872']

DOI: https://doi.org/10.1080/00927872.2021.2006209