Partial actions and representations, cohomology and globalization
Partial actions and partial representations, cohomology and applications
On the unit group of Z-orders in finite dimensional algebras
| Full text | |
| Author(s): |
Dokuchaev, Mikhailo
;
Khrypchenko, Mykola
;
Makuta, Mayumi
Total Authors: 3
|
| Document type: | Journal article |
| Source: | Journal of Algebra; v. 593, p. 57-pg., 2022-03-01. |
| Abstract | |
We define and study the notion of a crossed module over an inverse semigroup and the corresponding 4-term exact sequences, called crossed module extensions. For a crossed module A over an F-inverse monoid T, we show that equivalence classes of admissible crossed module extensions of A by T are in a one-to-one correspondence with the elements of the cohomology group H3 <=(T1, A1). (c) 2021 Elsevier Inc. All rights reserved. (AU) | |
| FAPESP's process: | 15/09162-9 - Non commutative algebra and applications |
| Grantee: | Francisco Cesar Polcino Milies |
| Support Opportunities: | Research Projects - Thematic Grants |