Download E-books Noetherian semigroup algebras (no pp. 10,28,42,53,60) PDF

By Eric Jespers, Jan Okninski

Within the decade, semigroup theoretical equipment have happened certainly in lots of elements of ring concept, algebraic combinatorics, illustration idea and their functions. specifically, encouraged by means of noncommutative geometry and the idea of quantum teams, there's a becoming curiosity within the classification of semigroup algebras and their deformations.

This paintings provides a complete therapy of the most effects and strategies of the speculation of Noetherian semigroup algebras. those basic effects are then utilized and illustrated within the context of vital periods of algebras that come up in a number of components and feature been lately intensively studied. numerous concrete buildings are defined in complete aspect, specifically interesting periods of quadratic algebras and algebras relating to workforce jewelry of polycyclic-by-finite teams. those supply new periods of Noetherian algebras of small Gelfand-Kirillov size. the point of interest is at the interaction among their combinatorics and the algebraic constitution. This yields a wealthy source of examples which are of curiosity not just for the noncommutative ring theorists, but in addition for researchers in semigroup concept and sure features of crew and team ring idea. Mathematical physicists will locate this paintings of curiosity due to the eye given to applications to the Yang-Baxter equation.

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