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(Reference retrieved automatically from Web of Science through information on FAPESP grant and its corresponding number as mentioned in the publication by the authors.)

Galois orders in skew monoid rings

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Author(s):
Futorny, Vyacheslav [1] ; Ovsienko, Serge [2]
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
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