Convolution rings

Stefan Veldsman*

*Corresponding author for this work

Research output: Contribution to journalArticlepeer-review

5 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

Keywords

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

ASJC Scopus subject areas

  • Algebra and Number Theory
  • Applied Mathematics

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