On the classification and properties of noncommutative duplicates
| Autor: | Javier López Peña, Gabriel Navarro |
|---|---|
| Rok vydání: | 2008 |
| Předmět: |
Pure mathematics
General Mathematics K-Theory and Homology (math.KT) 16E40 Mathematics - Rings and Algebras 16W35 16S35 Homology (mathematics) Noncommutative geometry Set (abstract data type) Factorization Rings and Algebras (math.RA) Mathematics - K-Theory and Homology Mathematics - Quantum Algebra FOS: Mathematics Quantum Algebra (math.QA) Isomorphism Counterexample Mathematics |
| Zdroj: | K-Theory. 38:223-234 |
| ISSN: | 1573-0514 0920-3036 |
| DOI: | 10.1007/s10977-007-9017-y |
| Popis: | We give an explicit description of the set of all factorization structures, or twisting maps, existing between the algebras k^2 and k^2, and classify the resulting algebras up to isomorphism. In the process we relate several different approaches formerly taken to deal with this problem, filling a gap that appeared in a recent paper by Cibils. We also provide a counterexample to a result concerning the Hochschild (co)homology appeared in a paper by J.A. Guccione and J.J. Guccione. 11 pages, no figures |
| Databáze: | OpenAIRE |
| Externí odkaz: |
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