Progress in Commutative Algebra 2

Idioma: inglés

Editorial: De Gruyter, DE, 2012

3110278596 / 9783110278590

Serie: Libro 46 de 67 - De Gruyter Proceedings in Mathematics

Librería: Rarewaves USA, HEBRON, KY, Estados Unidos de AmericaRarewaves USA

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This is the second of two volumes of a state-of-the-art survey article collection which originates from three commutative algebra sessions at the 2009 Fall Southeastern American Mathematical Society Meeting at Florida Atlantic University. The articles reach into diverse areas of commutative algebra and build a bridge between Noetherian and non-Noetherian commutative algebra. These volumes present current trends in two of the most active areas of commutative algebra: non-noetherian rings (factorization, ideal theory, integrality), and noetherian rings (the local theory, graded situation, and interactions with combinatorics and geometry). This volume contains surveys on aspects of closure operations, finiteness conditions and factorization. Closure operations on ideals and modules are a bridge between noetherian and nonnoetherian commutative algebra. It contains a nice guide to closure operations by Epstein, but also contains an article on test ideals by Schwede and Tucker and one by Enescu which discusses the action of the Frobenius on finite dimensional vector spaces both of which are related to tight closure. Finiteness properties of rings and modules or the lack of them come up in all aspects of commutative algebra. However, in the study of non-noetherian rings it is much easier to find a ring having a finite number of prime ideals. The editors have included papers by Boynton and Sather-Wagstaff and by Watkins that discuss the relationship of rings with finite Krull dimension and their finite extensions. Finiteness properties in commutative group rings are discussed in Glaz and Schwarz's paper. And Olberding's selection presents us with constructions that produce rings whose integral closure in their field of fractions is not finitely generated. The final three papers in this volume investigate factorization in a broad sense. The first paper by Celikbas and Eubanks-Turner discusses the partially ordered set of prime ideals of the projective line over the integers. The editors have also included a paper on zero divisor graphs by Coykendall, Sather-Wagstaff, Sheppardson and Spiroff. The final paper, by Chapman and Krause, concerns non-unique factorization.

N° de ref. del artículo LU-9783110278590

Título
Progress in Commutative Algebra 2
Autor
Christopher Francisco
Editorial
De Gruyter, DE
Año de publicación
2012
Estado
New
Encuadernación
Hardback
Idioma
inglés
ISBN 10
3110278596
ISBN 13
9783110278590
Peso del artículo
692 gramos
Serie
Libro 46 de 67: De Gruyter Proceedings in Mathematics

Rarewaves USA

HEBRON, KY, Estados Unidos de America

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Vendedor de AbeBooks desde 10 de junio de 2025

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