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"This book is an expanded text for a graduate course in commutative algebra, focusing on the algebraic underpinnings of algebraic geometry and of number theory. Accordingly, the theory of affine algebras is featured, treated both directly and via the theory of Noetherian and Art…
"This book, based on a first-year graduate course the author taught at the University of Wisconsin, contains more than enough material for a two semester graduate-level abstract algebra course, including groups, rings and modules, fields and Galois theory, an introduction to alg…
"This book, based on a first-year graduate course the author taught at the University of Wisconsin, contains more than enough material for a two semester graduate-level abstract algebra course, including groups, rings and modules, fields and Galois theory, an introduction to alg…
"In this article we use techniques from algebraic geometry and homological algebra, together with ideas from string theory to construct a class of 3-dimensional Calabi-Yau algebras. The Calabi-Yau property appears throughout geometry and string theory and is increasingly being s…
Motivated by the importance of the Campbell, Baker, Hausdorff, Dynkin Theorem in many different branches of Mathematics and Physics (Lie group-Lie algebra theory, linear PDEs, Quantum and Statistical Mechanics, Numerical Analysis, Theoretical Physics, Control Theory, sub-Riemann…
Rational series -- Minimization -- Series and languages -- Rational expressions -- Automatic sequences and algebraic series -- Rational series in one variable -- Changing the semiring -- Positive series in one variable -- Matrix semigroups and applications -- Noncommutative poly…