東華大學圖書館 |

Language: English

Help

回圖書館首頁

手機版館藏查詢

Back

Switch To: Labeled | MARC Mode | ISBD

Rings, polynomials, and modules

Fontana, Marco.

Linked to FindBook

Google Book

Amazon

博客來

Rings, polynomials, and modules

Record Type:	Electronic resources : Monograph/item
Title/Author:	Rings, polynomials, and modules/ edited by Marco Fontana ... [et al.].
other author:	Fontana, Marco.
Published:	Cham :Springer International Publishing : : 2017.,
Description:	viii, 375 p. :ill., digital ;24 cm.
[NT 15003449]:	Preface -- 1 Reducing Fractions to Lowest Terms -- 2 Unique Factorization in Torsion-free Modules -- 3 n-Absorbing Ideals of Commutative Rings and Recent Progresses on Three Conjectures: A Survey -- 4 Embedding Dimension and Codimension of Tensor Products of Algebras Over a Field -- 5 Minimal Generating Sets for the D-Algebra Int(S,D) -- 6 Algebraic Entropy in Locally Linearly Compact Vector Spaces -- 7 Commutative Rings Whose Finitely Generated Ideals are Quasi-Flat -- 8 Commutative Rings with a Prescribed Number of Isomorphism Classes of Minimal Ring Extensions -- 9 Applications of Multisymmetric Syzygies in Invariant Theory -- 10 Functorial Properties of Star Operations: New Developments -- 11 Systems of Sets of Lengths: Transfer Krull Monoids Versus Weakly Krull Monoids -- 12 Corner's Realization Theorems from the Viewpoint of Algebraic Entropy -- 13 Directed Unions of Local Quadratic Transforms of Regular Local Rings and Pullbacks -- 14 Divisorial Prime Ideals in Prufer Domains -- 15 A gg-Cancellative Semistar Operation on an Integral Domain Need Not Be gh-Cancellative -- 16 Quasi-Prufer Extensions of Rings -- 17 A Note on Analytically Irreducible Domains -- 18 Integer-valued Polynomials on Algebras: A Survey of Recent Results and Open Questions.
Contained By:	Springer eBooks
Subject:	Commutative rings - Congresses. -
Online resource:	http://dx.doi.org/10.1007/978-3-319-65874-2
ISBN:	9783319658742

Rings, polynomials, and modules
Rings, polynomials, and modules[electronic resource] /edited by Marco Fontana ... [et al.]. - Cham :Springer International Publishing :2017. - viii, 375 p. :ill., digital ;24 cm.

Preface -- 1 Reducing Fractions to Lowest Terms -- 2 Unique Factorization in Torsion-free Modules -- 3 n-Absorbing Ideals of Commutative Rings and Recent Progresses on Three Conjectures: A Survey -- 4 Embedding Dimension and Codimension of Tensor Products of Algebras Over a Field -- 5 Minimal Generating Sets for the D-Algebra Int(S,D) -- 6 Algebraic Entropy in Locally Linearly Compact Vector Spaces -- 7 Commutative Rings Whose Finitely Generated Ideals are Quasi-Flat -- 8 Commutative Rings with a Prescribed Number of Isomorphism Classes of Minimal Ring Extensions -- 9 Applications of Multisymmetric Syzygies in Invariant Theory -- 10 Functorial Properties of Star Operations: New Developments -- 11 Systems of Sets of Lengths: Transfer Krull Monoids Versus Weakly Krull Monoids -- 12 Corner's Realization Theorems from the Viewpoint of Algebraic Entropy -- 13 Directed Unions of Local Quadratic Transforms of Regular Local Rings and Pullbacks -- 14 Divisorial Prime Ideals in Prufer Domains -- 15 A gg-Cancellative Semistar Operation on an Integral Domain Need Not Be gh-Cancellative -- 16 Quasi-Prufer Extensions of Rings -- 17 A Note on Analytically Irreducible Domains -- 18 Integer-valued Polynomials on Algebras: A Survey of Recent Results and Open Questions.

This volume presents a collection of articles highlighting recent developments in commutative algebra and related non-commutative generalizations. It also includes an extensive bibliography and lists a substantial number of open problems that point to future directions of research in the represented subfields. The contributions cover areas in commutative algebra that have flourished in the last few decades and are not yet well represented in book form. Highlighted topics and research methods include Noetherian and non-Noetherian ring theory, module theory and integer-valued polynomials along with connections to algebraic number theory, algebraic geometry, topology and homological algebra. Most of the eighteen contributions are authored by attendees of the two conferences in commutative algebra that were held in the summer of 2016: "Recent Advances in Commutative Ring and Module Theory," Bressanone, Italy; "Conference on Rings and Polynomials" Graz, Austria. There is also a small collection of invited articles authored by experts in the area who could not attend either of the conferences. Following the model of the talks given at these conferences, the volume contains a number of comprehensive survey papers along with related research articles featuring recent results that have not yet been published elsewhere.

ISBN: 9783319658742

Standard No.: 10.1007/978-3-319-65874-2doiSubjects--Topical Terms:

699751
Commutative rings
--Congresses.

LC Class. No.: QA251.3

Dewey Class. No.: 512.44

Rings, polynomials, and modules
LDR:03554nmm a2200313 a 4500 001 2112538
003 DE-He213
005 20180522162830.0
006 m d
007 cr nn 008maaau
008 180719s2017 gw s 0 eng d
020 $a 9783319658742 $q (electronic bk.)
020 $a 9783319658728 $q (paper)
024 7 $a 10.1007/978-3-319-65874-2 $2 doi
035 $a 978-3-319-65874-2
040 $a GP $c GP
041 0 $a eng
050 4 $a QA251.3
072 7 $a PBF $2 bicssc
072 7 $a MAT002010 $2 bisacsh
082 0 4 $a 512.44 $2 23
090 $a QA251.3 $b .R582 2017
245 0 0 $a Rings, polynomials, and modules $h [electronic resource] / $c edited by Marco Fontana ... [et al.].
260 $a Cham : $b Springer International Publishing : $b Imprint: Springer, $c 2017.
300 $a viii, 375 p. : $b ill., digital ; $c 24 cm.
505 0 $a Preface -- 1 Reducing Fractions to Lowest Terms -- 2 Unique Factorization in Torsion-free Modules -- 3 n-Absorbing Ideals of Commutative Rings and Recent Progresses on Three Conjectures: A Survey -- 4 Embedding Dimension and Codimension of Tensor Products of Algebras Over a Field -- 5 Minimal Generating Sets for the D-Algebra Int(S,D) -- 6 Algebraic Entropy in Locally Linearly Compact Vector Spaces -- 7 Commutative Rings Whose Finitely Generated Ideals are Quasi-Flat -- 8 Commutative Rings with a Prescribed Number of Isomorphism Classes of Minimal Ring Extensions -- 9 Applications of Multisymmetric Syzygies in Invariant Theory -- 10 Functorial Properties of Star Operations: New Developments -- 11 Systems of Sets of Lengths: Transfer Krull Monoids Versus Weakly Krull Monoids -- 12 Corner's Realization Theorems from the Viewpoint of Algebraic Entropy -- 13 Directed Unions of Local Quadratic Transforms of Regular Local Rings and Pullbacks -- 14 Divisorial Prime Ideals in Prufer Domains -- 15 A gg-Cancellative Semistar Operation on an Integral Domain Need Not Be gh-Cancellative -- 16 Quasi-Prufer Extensions of Rings -- 17 A Note on Analytically Irreducible Domains -- 18 Integer-valued Polynomials on Algebras: A Survey of Recent Results and Open Questions.
520 $a This volume presents a collection of articles highlighting recent developments in commutative algebra and related non-commutative generalizations. It also includes an extensive bibliography and lists a substantial number of open problems that point to future directions of research in the represented subfields. The contributions cover areas in commutative algebra that have flourished in the last few decades and are not yet well represented in book form. Highlighted topics and research methods include Noetherian and non-Noetherian ring theory, module theory and integer-valued polynomials along with connections to algebraic number theory, algebraic geometry, topology and homological algebra. Most of the eighteen contributions are authored by attendees of the two conferences in commutative algebra that were held in the summer of 2016: "Recent Advances in Commutative Ring and Module Theory," Bressanone, Italy; "Conference on Rings and Polynomials" Graz, Austria. There is also a small collection of invited articles authored by experts in the area who could not attend either of the conferences. Following the model of the talks given at these conferences, the volume contains a number of comprehensive survey papers along with related research articles featuring recent results that have not yet been published elsewhere.
650 0 $a Commutative rings $x Congresses. $3 699751
650 1 4 $a Mathematics. $3 515831
650 2 4 $a Commutative Rings and Algebras. $3 891076
650 2 4 $a Associative Rings and Algebras. $3 897405
700 1 $a Fontana, Marco. $3 1530155
710 2 $a SpringerLink (Online service) $3 836513
773 0 $t Springer eBooks
856 4 0 $u http://dx.doi.org/10.1007/978-3-319-65874-2
950 $a Mathematics and Statistics (Springer-11649)