Advances in Rings, Modules and Factorizations

Beschreibung

Occasioned by the international conference "Rings and Factorizations" held in February 2018 at University of Graz, Austria, this volume represents a wide range of research trends in the theory of commutative and non-commutative rings and their modules, including multiplicative ideal theory, Dedekind and Krull rings and their generalizations, rings of integer valued-polynomials, topological aspects of ring theory, factorization theory in rings and semigroups and direct-sum decompositions of modules. The volume will be of interest to researchers seeking to extend or utilize work in these areas as well as graduate students wishing to find entryways into active areas of current research in algebra.  A novel aspect of the volume is an emphasis on how diverse types of algebraic structures and contexts (rings, modules, semigroups, categories) may be treated with overlapping and reinforcing approaches. 


Occasioned by the international conference "Rings and Factorizations" held in February 2018 at University of Graz, Austria, this volume represents a wide range of research trends in the theory of commutative and non-commutative rings and their modules, including multiplicative ideal theory, Dedekind and Krull rings and their generalizations, rings of integer valued-polynomials, topological aspects of ring theory, factorization theory in rings and semigroups and direct-sum decompositions of modules. The volume will be of interest to researchers seeking to extend or utilize work in these areas as well as graduate students wishing to find entryways into active areas of current research in algebra.  A novel aspect of the volume is an emphasis on how diverse types of algebraic structures and contexts (rings, modules, semigroups, categories) may be treated with overlapping and reinforcing approaches. 


Represents a wide range of research trends in the area of commutative and noncommutative ring theory and their modules, with an emphasis on the interaction between quite different viewpoints and techniques Shows that how diverse types of algebraic structures and contexts (rings, modules, semigroups, categories) may be treated with overlapping and reinforcing approaches Is an excellent resource for scholars in the fields represented, as well as graduate students seeking an entryway into current research in algebra

Autor*in

Alberto Facchini

Themen in »Advances in Rings, Modules and Factorizations«

multiplicative ideal theory integer-valued polynomial monoid factorization commutative ring Prufer ring Krull ring Mori ring module ideal and module system star and semistar operation direct-sum decomposition sets of lengths arithmetical invariants

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