A note on measurings and higher order Hochschild homology of algebras
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arXiv
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| Main Authors: | , |
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| Format: | Preprint |
| Published: |
2025
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| _version_ | 1866909572783931392 |
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| author | Banerjee, Abhishek Kour, Surjeet |
| author_facet | Banerjee, Abhishek Kour, Surjeet |
| contents | We know that coalgebra measurings behave like generalized maps between algebras. In this note, we show that coalgebra measurings between commutative algebras induce morphisms between higher order Hochschild homology groups of algebras. By higher order Hochschild homology, we mean the the Hochschild homology groups of a commutative algebra with respect to a simplicial set as introduced by Pirashvili. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2504_06873 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | A note on measurings and higher order Hochschild homology of algebras Banerjee, Abhishek Kour, Surjeet Rings and Algebras 16T15 We know that coalgebra measurings behave like generalized maps between algebras. In this note, we show that coalgebra measurings between commutative algebras induce morphisms between higher order Hochschild homology groups of algebras. By higher order Hochschild homology, we mean the the Hochschild homology groups of a commutative algebra with respect to a simplicial set as introduced by Pirashvili. |
| title | A note on measurings and higher order Hochschild homology of algebras |
| topic | Rings and Algebras 16T15 |
| url | https://arxiv.org/abs/2504.06873 |