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Difference Algebra (Repost)

Posted By: AvaxGenius
Difference Algebra (Repost)

Difference Algebra by Alexander Levin
English | PDF | 2008 | 528 Pages | ISBN : 1402069464 | 4.4 MB

Difference algebra grew out of the study of algebraic difference equations with coefficients from functional fields in much the same way as the classical algebraic geometry arose from the study of polynomial equations with numerical coefficients. The first stage of the development of the theory is associated with its founder J. F. Ritt (1893 - 1951) and R. Cohn whose book Difference Algebra (1965) remained the only fundamental monograph on the subject for many years.

Algorithmic Methods in Non-Commutative Algebra: Applications to Quantum Groups (Repost)

Posted By: AvaxGenius
Algorithmic Methods in Non-Commutative Algebra: Applications to Quantum Groups (Repost)

Algorithmic Methods in Non-Commutative Algebra: Applications to Quantum Groups by José Bueso
English | PDF | 2003 | 307 Pages | ISBN : 9048163285 | 22.51 MB

The already broad range of applications of ring theory has been enhanced in the eighties by the increasing interest in algebraic structures of considerable complexity, the so-called class of quantum groups. One of the fundamental properties of quantum groups is that they are modelled by associative coordinate rings possessing a canonical basis, which allows for the use of algorithmic structures based on Groebner bases to study them.