Hochschild Cohomology for Self-Injective Algebras of Tree Class D n
VI
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| 100 | 1 | |a Volkov |D Yu |u St.Petersburg State University, St.Petersburg, Russia |4 aut | |
| 245 | 1 | 0 | |a Hochschild Cohomology for Self-Injective Algebras of Tree Class D n |h [Elektronische Daten] |b VI |c [Yu. Volkov] |
| 520 | 3 | |a For an R-bimodule M with structure of a k-algebra and an agreed action of a finite group G ⊂ AutR, an algebra HH*(R,M)G↑ is defined. An isomorphism between the algebras HH*(R) and HH* R ˜ , R ˜ # k G G ↑ $$ {\left(\tilde{R},\tilde{R}\#kG\right)}^{G\uparrow } $$ is constructed in terms of bar-resolutions, where R ˜ = R # k G ∗ $$ \tilde{R}=R\#k{G}^{\ast } $$ . The Hochschild cohomology algebra for one series of the self-injective algebras of tree class D n is calculated with the help of these results. Bibliography: 9 titles. | |
| 540 | |a Springer Science+Business Media New York, 2015 | ||
| 773 | 0 | |t Journal of Mathematical Sciences |d Springer US; http://www.springer-ny.com |g 209/4(2015-09-01), 500-514 |x 1072-3374 |q 209:4<500 |1 2015 |2 209 |o 10958 | |
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| 950 | |B NATIONALLICENCE |P 100 |E 1- |a Volkov |D Yu |u St.Petersburg State University, St.Petersburg, Russia |4 aut | ||
| 950 | |B NATIONALLICENCE |P 773 |E 0- |t Journal of Mathematical Sciences |d Springer US; http://www.springer-ny.com |g 209/4(2015-09-01), 500-514 |x 1072-3374 |q 209:4<500 |1 2015 |2 209 |o 10958 | ||
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