Algebra of Fractions of Algebra with Conjugation
Aleks Kleyn
TL;DR
This paper develops the algebraic framework for fractions, polynomials, and rational mappings over an algebra with conjugation, expanding the theoretical understanding of such algebraic structures.
Contribution
It introduces the construction of fractions, polynomials, and rational mappings within algebras that have conjugation, providing new theoretical tools.
Findings
Constructed algebra of fractions over algebra with conjugation
Developed algebra of polynomials over algebra with conjugation
Analyzed algebra of rational mappings in this context
Abstract
In the paper, I considered construction of algebra of fractions of algebra with conjugation. I also considered algebra of polynomials and algebra of rational mappings over algebra with conjugation.
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Taxonomy
TopicsAlgebraic and Geometric Analysis · Advanced Topics in Algebra · Matrix Theory and Algorithms