國立虎尾科技大學 |

Lattice Theory: Special Topics and Applications = Volume 2 /

紀錄類型:	書目-語言資料,印刷品 : Monograph/item
正題名/作者:	Lattice Theory: Special Topics and Applications/ edited by George Grätzer, Friedrich Wehrung.
其他題名:	Volume 2 /
其他作者:	Grätzer, George.
面頁冊數:	XV, 616 p. 136 illus.online resource. :
Contained By:	Springer Nature eBook
標題:	Algebra. -
電子資源:	https://doi.org/10.1007/978-3-319-44236-5
ISBN:	9783319442365

Lattice Theory: Special Topics and Applications = Volume 2 /
Lattice Theory: Special Topics and ApplicationsVolume 2 /[electronic resource] :edited by George Grätzer, Friedrich Wehrung. - 1st ed. 2016. - XV, 616 p. 136 illus.online resource.

Varieties of Lattices -- Free and Finitely Presented Lattices -- Classes of Semidistributive Lattices -- Lattices of Algebraic Subsets and Implicational Classes -- Convex Geometries -- Bases of Closure Systems -- Permutohedra and Associahedra -- Generalizations of the Permutohedron -- Lattice Theory of the Poset of Regions -- Finite Coxeter Groups and the Weak Order.

George Grätzer's Lattice Theory: Foundation is his third book on lattice theory (General Lattice Theory, 1978, second edition, 1998). In 2009, Grätzer considered updating the second edition to reflect some exciting and deep developments. He soon realized that to lay the foundation, to survey the contemporary field, to pose research problems, would require more than one volume and more than one person. So Lattice Theory: Foundation provided the foundation. Now we complete this project with Lattice Theory: Special Topics and Applications, in two volumes, written by a distinguished group of experts, to cover some of the vast areas not in Foundation. This second volume is divided into ten chapters contributed by K. Adaricheva, N. Caspard, R. Freese, P. Jipsen, J.B. Nation, N. Reading, H. Rose, L. Santocanale, and F. Wehrung.

ISBN: 9783319442365

Standard No.: 10.1007/978-3-319-44236-5doiSubjects--Topical Terms:

579870
Algebra.

LC Class. No.: QA172-172.4

Dewey Class. No.: 511.33

Lattice Theory: Special Topics and Applications = Volume 2 /
LDR:02558nam a22003975i 4500 001 978785
003 DE-He213
005 20200706165528.0
007 cr nn 008mamaa
008 201211s2016 gw | s |||| 0|eng d
020 $a 9783319442365 $9 978-3-319-44236-5
024 7 $a 10.1007/978-3-319-44236-5 $2 doi
035 $a 978-3-319-44236-5
050 4 $a QA172-172.4
050 4 $a QA171.5
072 7 $a PBF $2 bicssc
072 7 $a MAT002010 $2 bisacsh
072 7 $a PBF $2 thema
082 0 4 $a 511.33 $2 23
245 1 0 $a Lattice Theory: Special Topics and Applications $h [electronic resource] : $b Volume 2 / $c edited by George Grätzer, Friedrich Wehrung.
250 $a 1st ed. 2016.
264 1 $a Cham : $b Springer International Publishing : $b Imprint: Birkhäuser, $c 2016.
300 $a XV, 616 p. 136 illus. $b online resource.
336 $a text $b txt $2 rdacontent
337 $a computer $b c $2 rdamedia
338 $a online resource $b cr $2 rdacarrier
347 $a text file $b PDF $2 rda
505 0 $a Varieties of Lattices -- Free and Finitely Presented Lattices -- Classes of Semidistributive Lattices -- Lattices of Algebraic Subsets and Implicational Classes -- Convex Geometries -- Bases of Closure Systems -- Permutohedra and Associahedra -- Generalizations of the Permutohedron -- Lattice Theory of the Poset of Regions -- Finite Coxeter Groups and the Weak Order.
520 $a George Grätzer's Lattice Theory: Foundation is his third book on lattice theory (General Lattice Theory, 1978, second edition, 1998). In 2009, Grätzer considered updating the second edition to reflect some exciting and deep developments. He soon realized that to lay the foundation, to survey the contemporary field, to pose research problems, would require more than one volume and more than one person. So Lattice Theory: Foundation provided the foundation. Now we complete this project with Lattice Theory: Special Topics and Applications, in two volumes, written by a distinguished group of experts, to cover some of the vast areas not in Foundation. This second volume is divided into ten chapters contributed by K. Adaricheva, N. Caspard, R. Freese, P. Jipsen, J.B. Nation, N. Reading, H. Rose, L. Santocanale, and F. Wehrung.
650 0 $a Algebra. $2 gtt $3 579870
650 0 $a Ordered algebraic structures. $3 672366
650 0 $a Convex geometry . $3 1255327
650 0 $a Discrete geometry. $3 672137
650 0 $a Polytopes. $3 884204
650 1 4 $a Order, Lattices, Ordered Algebraic Structures. $3 670104
650 2 4 $a Convex and Discrete Geometry. $3 672138
700 1 $a Grätzer, George. $e author. $4 edt $4 http://id.loc.gov/vocabulary/relators/edt $3 1267416
700 1 $a Wehrung, Friedrich. $4 edt $4 http://id.loc.gov/vocabulary/relators/edt $3 786657
710 2 $a SpringerLink (Online service) $3 593884
773 0 $t Springer Nature eBook
776 0 8 $i Printed edition: $z 9783319442358
776 0 8 $i Printed edition: $z 9783319442372
856 4 0 $u https://doi.org/10.1007/978-3-319-44236-5
912 $a ZDB-2-SMA
912 $a ZDB-2-SXMS
950 $a Mathematics and Statistics (SpringerNature-11649)
950 $a Mathematics and Statistics (R0) (SpringerNature-43713)