Groups and noncommutative algebra: interactions and applications
Free symmetric and unitary pairs in division rings with involution.
Algebraic structures of the baric algebras, RA loops and linear codes
| Full text | |
| Author(s): |
Total Authors: 3
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| Affiliation: | [1] Univ Sao Paulo, Dept Math, BR-05508090 Sao Paulo - Brazil
[2] Univ Estadual Maringa, Dept Math, BR-87020900 Maringa, Parana - Brazil
Total Affiliations: 2
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| Document type: | Journal article |
| Source: | Journal of Algebra; v. 509, p. 292-306, SEP 1 2018. |
| Web of Science Citations: | 1 |
| Abstract | |
Some general criteria to produce explicit free algebras inside the division ring of fractions of skew polynomial rings are presented. These criteria are applied to some special cases of division rings with natural involutions, yielding, for instance, free subalgebras generated by symmetric elements both in the division ring of fractions of the group algebra of a torsion free nilpotent group and in the division ring of fractions of the first Weyl algebra. (C) 2018 Elsevier Inc. All rights reserved. (AU) | |
| FAPESP's process: | 09/52665-0 - Groups, rings and algebras: interactions and applications |
| Grantee: | Francisco Cesar Polcino Milies |
| Support Opportunities: | Research Projects - Thematic Grants |