| Full text | |
| Author(s): |
Total Authors: 2
|
| Affiliation: | [1] Univ Sao Paulo, Inst Matemat & Estat, BR-05315970 Sao Paulo - Brazil
[2] Kiev Taras Shevchenko Univ, Fac Mech & Math, UA-01601 Kiev - Ukraine
Total Affiliations: 2
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| Document type: | Journal article |
| Source: | Journal of Algebra; v. 324, n. 4, p. 598-630, AUG 15 2010. |
| Web of Science Citations: | 12 |
| Abstract | |
We introduce a new class of noncommutative rings - Galois orders, realized as certain subrings of invariants in skew semigroup rings, and develop their structure theory. The class of Calms orders generalizes classical orders in noncommutative rings and contains many important examples, such as the Generalized Weyl algebras, the universal enveloping algebra of the general linear Lie algebra, associated Yangians and finite W-algebras (C) 2010 Elsevier Inc All rights reserved (AU) | |
| FAPESP's process: | 04/02850-2 - Sergiy Ovsiyenko | University Kiev - Ukraine |
| Grantee: | Vyacheslav Futorny |
| Support Opportunities: | Research Grants - Visiting Researcher Grant - International |
| FAPESP's process: | 05/60337-2 - Lie and Jordan algebras, their representations and generalizations |
| Grantee: | Ivan Chestakov |
| Support Opportunities: | Research Projects - Thematic Grants |
| FAPESP's process: | 06/60763-4 - Sergei Ovsienko | University of Kyiv - Ukraine |
| Grantee: | Vyacheslav Futorny |
| Support Opportunities: | Research Grants - Visiting Researcher Grant - International |