Hochschild cohomology of triangular matrix algebras
We study the Hochschild cohomology of triangular matrix rings B=R0AMRA , where A and R are finite dimensional algebras over an algebraically closed field K and M is an A-R-bimodule. We prove the existence of two long exact sequences of K-vector spaces relating the Hochschild cohomology of A, R, and...
| Authors: | , |
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| Format: | article |
| Status: | Published version |
| Publication Date: | 2000 |
| Country: | Argentina |
| Institution: | Consejo Nacional de Investigaciones Científicas y Técnicas |
| Repository: | CONICET Digital (CONICET) |
| Language: | English |
| OAI Identifier: | oai:ri.conicet.gov.ar:11336/78497 |
| Online Access: | http://hdl.handle.net/11336/78497 |
| Access Level: | Open access |
| Keyword: | Hochschild Cohomology https://purl.org/becyt/ford/1.1 https://purl.org/becyt/ford/1 |
| Summary: | We study the Hochschild cohomology of triangular matrix rings B=R0AMRA , where A and R are finite dimensional algebras over an algebraically closed field K and M is an A-R-bimodule. We prove the existence of two long exact sequences of K-vector spaces relating the Hochschild cohomology of A, R, and B. © 2000 Academic Press. |
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