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- Title
The Division Ring, Similarity and Consimilarity over Conjugate Product.
- Authors
Mazurek, Ryszard
- Abstract
Recently Wu, Wang and Teng introduced the division ring over conjugate product as a tool to investigate antilinear systems. In this paper we show that the division ring is a special case of a known construction of a right ring of fractions of a right Ore domain. We also investigate similarity and consimilarity of complex polynomials over conjugate product and characterize all the polynomials which are similar to a given polynomial of degree less than 3, solving partially a problem posed by Wu, Wang and Teng.
- Subjects
DIVISION rings; PROBLEM solving; POLYNOMIALS; POLYNOMIAL rings
- Publication
IAENG International Journal of Applied Mathematics, 2021, Vol 51, Issue 1, p116
- ISSN
1992-9978
- Publication type
Article