Affiliation:
1. Department of Mathematics and Statistics, College of Science, Sultan Qaboos University, P.O. Box 36, Al-Khodh PC123, Sultanate of Oman
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.
Publisher
World Scientific Pub Co Pte Lt
Subject
Applied Mathematics,Algebra and Number Theory
Cited by
6 articles.
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1. Convolution Type $$\hbox {C}^*$$-Algebras;Bulletin of the Iranian Mathematical Society;2019-10-08
2. ON CONVOLUTION TYPES IN COMMUTATIVE RINGS;International Electronic Journal of Algebra;2015-06-01
3. Matrix and Polynomial Reversibility of Rings;Communications in Algebra;2015-01-28
4. RADICALS DETERMINED BY SUBSETS OF RINGS;Journal of Algebra and Its Applications;2012-04
5. Witt vectors. Part 1;Handbook of Algebra - Volume 6;2009