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Malcev rings
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D. A. Tuganbaev
Veröffentlicht/Copyright:
27. Mai 2008
Abstract
In the paper, Malcev rings are defined. The class of Malcev rings strictly contains rings of Malcev–Neumann series, formal skew Laurent series rings, and formal pseudo-differential operator rings. In the paper, ring-theoretic properties of Malcev rings are studied. It turns out that rings of Malcev–Neumann series, formal skew Laurent series rings, and formal pseudo-differential operator rings have similar ring-theoretic properties related to the existence of the filtration with respect to the lowest degree of the series.
Received: 2006-10-06
Published Online: 2008-05-27
Published in Print: 2008-May
© de Gruyter 2008
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- On approximation with given accuracy of functions of k-valued logic by polynomials
- On complexity of realisation of a class of almost symmetric functions by formulas of depth 3
- On complexity of linear operators on the class of circuits of depth 2
- On the complexity of decoding Boolean cube splitting into cube faces
- Some characteristics of dependencies in discrete random sequences
- On random 2-adjacent 0/1-polyhedra
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Artikel in diesem Heft
- On approximation with given accuracy of functions of k-valued logic by polynomials
- On complexity of realisation of a class of almost symmetric functions by formulas of depth 3
- On complexity of linear operators on the class of circuits of depth 2
- On the complexity of decoding Boolean cube splitting into cube faces
- Some characteristics of dependencies in discrete random sequences
- On random 2-adjacent 0/1-polyhedra
- The intersection number of complete r-partite graphs
- On Mazurov triples of the sporadic group B and Hamiltonian cycles of the Cayley graph
- Malcev rings
