By V. K. Kharchenko
The idea of automorphisms and derivations of associative jewelry is an instantaneous descendant of the improvement of classical Galois idea and the speculation of invariants. This quantity offers a complete evaluation of the tools and result of that thought, which has been significantly enriched over the past two decades. many of the fabric integrated appears to be like for the 1st time. one of the difficulties mentioned during this publication are the next: building of a Galois concept for high and semiprime jewelry and its program to domain names and loose algebras; research of the issues of the algebraic dependence of automorphisms and derivations; experiences of the mounted earrings for finite teams and earrings of constants for differential Lie algebras performing on the jewelry; non-commutative invariants of linear teams; theorems of finite teams performing on modular lattices; activities of Hopf algebras. The monograph is intended for experts in algebra, however it is additionally necessary for a much broader variety of mathematicians. The inclusions within the ebook of the most recent achievements at the structural conception of earrings with generalized identities makes it fascinating examining for graduate scholars in addition.
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