東華大學圖書館 |

語系: 繁體中文

說明(常見問題)

回圖書館首頁

手機版館藏查詢

登入

回首頁 到查詢結果 [ subject:"Commutative Rings and Algebras." ]

切換: 標籤 | MARC模式 | ISBD

Graphs from rings

Anderson, David F.

FindBook

Google Book

Amazon

博客來

Graphs from rings

紀錄類型:	書目-電子資源 : Monograph/item
正題名/作者:	Graphs from rings/ by David F. Anderson ... [et al.].
其他作者:	Anderson, David F.
出版者:	Cham :Springer International Publishing : : 2021.,
面頁冊數:	xvi, 538 p. :ill., digital ;24 cm.
內容註:	Introduction -- Distances in zero-divisor graphs -- Properties of zero-divisor graphs -- Genus of zero-divisor graphs -- Zero-divisor graph generalizations -- Total graphs of commutative rings -- Graphs from total graphs -- Generalized total graphs -- Other graphs associated with rings -- Bibliography -- Index.
Contained By:	Springer Nature eBook
標題:	Commutative rings. -
電子資源:	https://doi.org/10.1007/978-3-030-88410-9
ISBN:	9783030884109

Graphs from rings
Graphs from rings[electronic resource] /by David F. Anderson ... [et al.]. - Cham :Springer International Publishing :2021. - xvi, 538 p. :ill., digital ;24 cm.

Introduction -- Distances in zero-divisor graphs -- Properties of zero-divisor graphs -- Genus of zero-divisor graphs -- Zero-divisor graph generalizations -- Total graphs of commutative rings -- Graphs from total graphs -- Generalized total graphs -- Other graphs associated with rings -- Bibliography -- Index.

This book gives an overview of research on graphs associated with commutative rings. The study of the connections between algebraic structures and certain graphs, especially finite groups and their Cayley graphs, is a classical subject which has attracted a lot of interest. More recently, attention has focused on graphs constructed from commutative rings, a field of study which has generated an extensive amount of research over the last three decades. The aim of this text is to consolidate this large body of work into a single volume, with the intention of encouraging interdisciplinary research between algebraists and graph theorists, using the tools of one subject to solve the problems of the other. The topics covered include the graphical and topological properties of zero-divisor graphs, total graphs and their transformations, and other graphs associated with rings. The book will be of interest to researchers in commutative algebra and graph theory and anyone interested in learning about the connections between these two subjects.

ISBN: 9783030884109

Standard No.: 10.1007/978-3-030-88410-9doiSubjects--Topical Terms:

606074
Commutative rings.

LC Class. No.: QA251.3

Dewey Class. No.: 512.44

Graphs from rings
LDR:02311nmm a2200325 a 4500 001 2253792
003 DE-He213
005 20211031124356.0
006 m d
007 cr nn 008maaau
008 220327s2021 sz s 0 eng d
020 $a 9783030884109 $q (electronic bk.)
020 $a 9783030884093 $q (paper)
024 7 $a 10.1007/978-3-030-88410-9 $2 doi
035 $a 978-3-030-88410-9
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
072 7 $a PBF $2 thema
082 0 4 $a 512.44 $2 23
090 $a QA251.3 $b G766 2021
245 0 0 $a Graphs from rings $h [electronic resource] / $c by David F. Anderson ... [et al.].
260 $a Cham : $b Springer International Publishing : $b Imprint: Springer, $c 2021.
300 $a xvi, 538 p. : $b ill., digital ; $c 24 cm.
505 0 $a Introduction -- Distances in zero-divisor graphs -- Properties of zero-divisor graphs -- Genus of zero-divisor graphs -- Zero-divisor graph generalizations -- Total graphs of commutative rings -- Graphs from total graphs -- Generalized total graphs -- Other graphs associated with rings -- Bibliography -- Index.
520 $a This book gives an overview of research on graphs associated with commutative rings. The study of the connections between algebraic structures and certain graphs, especially finite groups and their Cayley graphs, is a classical subject which has attracted a lot of interest. More recently, attention has focused on graphs constructed from commutative rings, a field of study which has generated an extensive amount of research over the last three decades. The aim of this text is to consolidate this large body of work into a single volume, with the intention of encouraging interdisciplinary research between algebraists and graph theorists, using the tools of one subject to solve the problems of the other. The topics covered include the graphical and topological properties of zero-divisor graphs, total graphs and their transformations, and other graphs associated with rings. The book will be of interest to researchers in commutative algebra and graph theory and anyone interested in learning about the connections between these two subjects.
650 0 $a Commutative rings. $3 606074
650 0 $a Graph theory. $3 523815
650 1 4 $a Commutative Rings and Algebras. $3 891076
650 2 4 $a Graph Theory. $3 1567033
700 1 $a Anderson, David F. $3 858604
710 2 $a SpringerLink (Online service) $3 836513
773 0 $t Springer Nature eBook
856 4 0 $u https://doi.org/10.1007/978-3-030-88410-9
950 $a Mathematics and Statistics (SpringerNature-11649)