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math.GM2012
Free Algebra with Countable Basis
Aleks Kleyn
In this book I treat the structure of D-module which has countable basis. If we do not care for topology of D-module, then we consider Hamel basis. If norm is defined in D-module,…
math.GM2012
Algebra of Fractions of Algebra with Conjugation
Aleks Kleyn
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…
math.GM2012
Mappings of Conjugation of Quaternion Algebra
Aleks Kleyn
In the paper I considered mappings of conjugation of quaternion algebra. I proved the theorem that there is unique expansion of R-linear mapping of quaternion algebra relative to t…