Convolution rings

Stefan Veldsman

Research output: Contribution to journalArticle

4 Citations (Scopus)

Abstract

The notion of a convolution type is introduced. Imposing such a type on a ring gives the corresponding convolution ring. Under this umbrella, a wide variety of ring constructions can be covered, including polynomials, matrices, incidence algebras, necklace rings, group rings and quaternion rings. Here the influence of the convolution type on the corresponding convolution ring is investigated, in particular on the existence of homomorphisms and ideals.

Original languageEnglish
Pages (from-to)211-238
Number of pages28
JournalAlgebra Colloquium
Volume13
Issue number2
Publication statusPublished - Jun 2006

Fingerprint

Convolution
Ring
Incidence Algebra
Algebra
Necklace
Polynomial Matrices
Group Ring
Polynomials
Quaternion
Homomorphisms

Keywords

  • Convolution rings
  • Incidence algebras
  • Matrix rings
  • Necklace rings
  • Polynomial rings

ASJC Scopus subject areas

  • Algebra and Number Theory
  • Applied Mathematics

Cite this

Veldsman, S. (2006). Convolution rings. Algebra Colloquium, 13(2), 211-238.

Convolution rings. / Veldsman, Stefan.

In: Algebra Colloquium, Vol. 13, No. 2, 06.2006, p. 211-238.

Research output: Contribution to journalArticle

Veldsman, S 2006, 'Convolution rings', Algebra Colloquium, vol. 13, no. 2, pp. 211-238.
Veldsman S. Convolution rings. Algebra Colloquium. 2006 Jun;13(2):211-238.
Veldsman, Stefan. / Convolution rings. In: Algebra Colloquium. 2006 ; Vol. 13, No. 2. pp. 211-238.
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