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Title Algebraic, number theoretic, and topological aspects of ring theory / Jean-Luc Chabert, Marco Fontana, Sophie Frisch, Sarah Glaz, Keith Johnson, editors
Published Cham : Springer, [2023]
©2023

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Description 1 online resource (x, 474 pages) : illustrations
Contents Paul-Jean Cahen (1946 2019) (Chabert) -- Bhargavas exponential functions and Bernoulli numbers associated to the set of prime numbers (Adam) -- Polynomial root extensions (Anderson) -- Absorbing ideals in commutative rings: A survey (Badawi) -- Complement-finite ideals (Baeth) -- When is a group algebra antimatter? (Baghdadi) -- Yosida, Martnez, and A + B rings (Klingler) -- Functional identities and maps preserving two-sided zero products (Brear) -- Bounded factorization and the ascending chain condition on principal ideals in generalized power series rings (Mooney) -- Probabilities and fixed divisors of integer polynomials (Chabert) -- Modules over trusses vs. modules over rings: Internal direct sums (Ferdania) -- A survey on essential-like properties of Prfer v--multiplication domains (Tartarone) -- On the subatomicity of polynomial semidomains (Gotti) -- Invertibility, semistar operations, and the ring of finite fractions (Juett) -- The quadratic tree of a two-dimensional regular local ring (Olberding) -- Reductions and core of ideals in integral domains: some recent developments (Kabbaj) -- Valuative lattices and spectra (Lombardi) -- Building 3-variable homogeneous integer-valued polynomials using generalized projective planes Marie MacDonald Around Prfer extensions of rings (Picavet) -- A survey on algebraic and homological properties of amalgamated algebras of commutative rings (Yassemi) -- The ring of integer-valued polynomials on 3 3 matrices and its integral closure (Sodhi) -- Simultaneous p-orderings and equidistribution (Szumowicz) -- A survey on flatness in integer-valued polynomial rings (Tamoussit) -- Equivalent characterizations of non-Archimedean uniform spaces (Windisch)
Summary This volume has been curated from two sources: presentations from the Conference on Rings and Polynomials, Technische Universitt Graz, Graz, Austria, July 19 24, 2021, and papers intended for presentation at the Fourth International Meeting on Integer-valued Polynomials and Related Topics, CIRM, Luminy, France, which was cancelled due to the pandemic. The collection ranges widely over the algebraic, number theoretic and topological aspects of rings, algebras and polynomials. Two areas of particular note are topological methods in ring theory, and integer valued polynomials. The book is dedicated to the memory of Paul-Jean Cahen, a coauthor or research collaborator with some of the conference participants and a friend to many of the others. This collection contains a memorial article about Paul-Jean Cahen, written by his longtime research collaborator and coauthor Jean-Luc Chabert.
Notes Selected conference proceedings
Print version record
Subject Rings (Algebra) -- Congresses
Rings (Algebra)
Genre/Form proceedings (reports)
Conference papers and proceedings
Conference papers and proceedings.
Actes de congrès.
Form Electronic book
Author Chabert, Jean-Luc, editor.
Fontana, Marco, 1947- editor.
Frisch, Sophie, 1963- editor.
Glaz, Sarah, 1947- editor.
Johnson, Keith, editor
ISBN 9783031288470
3031288475