# A note on product structures on Hochschild homology of schemes

Colloquium Mathematicae (2011)

- Volume: 123, Issue: 2, page 233-238
- ISSN: 0010-1354

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topAbhishek Banerjee. "A note on product structures on Hochschild homology of schemes." Colloquium Mathematicae 123.2 (2011): 233-238. <http://eudml.org/doc/284141>.

@article{AbhishekBanerjee2011,

abstract = {We extend the definition of Hochschild and cyclic homologies of a scheme over a commutative ring k to define the Hochschild homologies HH⁎(X/S) and cyclic homologies HC⁎(X/S) of a scheme X with respect to an arbitrary base scheme S. Our main purpose is to study product structures on the Hochschild homology groups HH⁎(X/S). In particular, we show that $HH⁎(X/S) = ⨁ _\{n∈ ℤ\}HHₙ(X/S)$ carries the structure of a graded algebra.},

author = {Abhishek Banerjee},

journal = {Colloquium Mathematicae},

keywords = {Hochschild homology; hypercohomology},

language = {eng},

number = {2},

pages = {233-238},

title = {A note on product structures on Hochschild homology of schemes},

url = {http://eudml.org/doc/284141},

volume = {123},

year = {2011},

}

TY - JOUR

AU - Abhishek Banerjee

TI - A note on product structures on Hochschild homology of schemes

JO - Colloquium Mathematicae

PY - 2011

VL - 123

IS - 2

SP - 233

EP - 238

AB - We extend the definition of Hochschild and cyclic homologies of a scheme over a commutative ring k to define the Hochschild homologies HH⁎(X/S) and cyclic homologies HC⁎(X/S) of a scheme X with respect to an arbitrary base scheme S. Our main purpose is to study product structures on the Hochschild homology groups HH⁎(X/S). In particular, we show that $HH⁎(X/S) = ⨁ _{n∈ ℤ}HHₙ(X/S)$ carries the structure of a graded algebra.

LA - eng

KW - Hochschild homology; hypercohomology

UR - http://eudml.org/doc/284141

ER -

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