Algebra. Transl. from the Russian

DOI10.1007/s10958-005-0244-6zbMath1073.16500OpenAlexW2084173069MaRDI QIDQ5921665

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Publication date: 28 October 2005

Published in: Journal of Mathematical Sciences (New York) (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s10958-005-0244-6

Mathematics Subject Classification ID

Collections of articles of miscellaneous specific interest (00B15) Proceedings, conferences, collections, etc. pertaining to associative rings and algebras (16-06) Proceedings, conferences, collections, etc. pertaining to commutative algebra (13-06)

Cites Work

• Division algebras generated by finitely generated nilpotent groups
• Extension of Hironaka's standard basis theorem for generalized power series
• Centralizers in differential, pseudo-differential, and fractional differential operator rings
• Solvability of the super KP equation and generalized of the Birkhoff decomposition
• Fields of generalized power series
• Multiplicative structures on power series and the construction of skewfields
• Rings of generalized power series: Nilpotent elements
• Noetherian rings of generalized power series
• Twisted rational functions and series
• Biregular rings of Laurent series
• Rings of generalized power series. II: Units and zero-divisors
• Semisimple rings and von Neumann regular rings of generalized power series
• Rings of pseudo-differential operators and chain conditions.
• Special properties of generalized power series
• On \(n\)-root closedness of generalized power series rings over pairs of rings
• Extended centroids of power series rings
• Krull Versus Global Dimension in Noetherian P.I. Rings
• The skew field of fractions of the weyl algebra contains a free noncommutative subalgebra
• The Isomorphism Question for Division Rings of Group Rings
• Modules Whose Lattice of Submodules is Distributive
• Krull dimension of malcev-neumann rings
• Rees algebras of finitely generated torsion -free modules over a two-dimensional regular local ring
• Group identities on units of locally finite algebras and twisted group algebras
• Factorization in generalized power series
• Malcev-neumann group rings
• The integrability of characteristics
• On Ordered Division Rings
• Chain rings of skew Laurent series
• Rings of skew Laurent series and principal ideal rings
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