This e-book includes either expository and examine articles solicited from audio system on the convention entitled "Arithmetic and excellent idea of jewelry and Semigroups," held September 22–26, 2014 on the collage of Graz, Graz, Austria. It displays contemporary traits in multiplicative perfect idea and factorization idea, and brings jointly for the 1st time in a single quantity either commutative and non-commutative views on those parts, that have their roots in quantity idea, commutative algebra, and algebraic geometry. themes mentioned comprise topological facets in ring theory, Prüfer domains of integer-valued polynomials and their monadic submonoids, and semigroup algebras. It should be of curiosity to practitioners of arithmetic and laptop technology, and researchers in multiplicative perfect idea, factorization concept, quantity idea, and algebraic geometry.
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