| Autor: |
Du, Lei, Ma, Yashuang, Xv, Jiangnan, Bao, Yanhong |
| Předmět: |
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| Zdroj: |
Communications in Algebra; 2023, Vol. 51 Issue 7, p3020-3041, 22p |
| Abstrakt: |
The motivation of this paper is to construct a deformation theory of coderivations of coassociative coalgebras. We introduce a notion of a Coder pair, that is, a coassociative coalgebra with a coderivation. Then we define a proper corepresentation of a Coder pair and study the corresponding cohomology. Finally, we show that a Coder pair is rigid, provided that the second cohomology group is trivial and point out that a deformation of finite order is extensible to higher order deformations if the obstruction class, which is defined to be in the third cohomology group, is trivial. [ABSTRACT FROM AUTHOR] |
| Databáze: |
Complementary Index |
| Externí odkaz: |
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