Linear gradings of polynomial algebras

• Autorzy: Piotr Jędrzejewicz
• Języki publikacji: EN

Abstrakty

EN

Let k be a field, let $$ G $$ be a finite group. We describe linear $$ G $$-gradings of the polynomial algebra k[x 1, ..., x m] such that the unit component is a polynomial k-algebra.

Słowa kluczowe

EN

graded algebra; polynomial algebra

Kategorie tematyczne

• 13A02: Graded rings
• 13F20: Polynomial rings and ideals; rings of integer-valued polynomials

• Wydawca: De Gruyter Open
• Czasopismo: Open Mathematics
• Rocznik: 2008
• Tom: 6
• Numer: 1
• Strony: 13-24

Daty

wydano

2008-03-01

online

2008-02-26

Twórcy

autor

Piotr Jędrzejewicz

• Nicolaus Copernicus University

Bibliografia

• [1] Kane R., Reflection groups and invariant theory, Springer-Verlag, New York, Berlin, Heidelberg, 2001
• [2] Kraft H., Geometrische Methoden in der Invariantentheorie, Vieweg & Sohn, Braunschweig, 1985 (in German)
• [3] Li W., Remarks on rings of constants of derivations II, Comm. Algebra, 1992, 20, 2191–2194 http://dx.doi.org/10.1080/00927879208824456
• [4] Maubach S., An algorithm to compute the kernel of a derivation up to a certain degree, J. Symbolic Comput., 2000, 29, 959–970 http://dx.doi.org/10.1006/jsco.1999.0334
• [5] Nowicki A., Strelcyn J.M., Generators of rings of constants for some diagonal derivations in polynomial rings, J. Pure Appl. Algebra, 1995, 101, 207–212 http://dx.doi.org/10.1016/0022-4049(94)00011-7

Identyfikatory

DOI

10.2478/s11533-008-0002-3