廣義逆的代數理論 (英文) 陳建龍 張小向著 9787030765703 【台灣高等教育出版社】

目錄 1 Algebraic Basic Knowledge
1 1 Complex Matrices
1 1 1 Some Decompositions of Complex Matrices
1 1 2 The Index of a Square Complex Matrix
1 1 3 Idempotents，Projections and EP Matrices
1 2 Definitions and Examples of Rings
1 2 1 Basic Concepts and Examples
1 2 2 Some Extensions of Rings
1 2 3 Idempotents， Units and Regular Elements
1 2 4 One-Sided Invertibility and Invertibility
1 3 Semigroups， Rings and Categories with Involution
1 3 1 Definitions and Examples
1 3 2 Proper Involutions
1 3 3 The Gelfand-Naimark Property
1 4 Regularity and Regularity of Rings
1 4 1 Regularity and FP-Injectivity
1 4 2 Regularity
1 5 Invertibility of the Difference and the Sum of Idempotents
1 5 1 Invertibility of the Difference of Idempotents
1 5 2 Invertibility of the Sum of Idempotents
2 Moore-Penrose Inverses
2 1 Moore-Penrose Inverses of Complex Matrices
2 2 Characterizations of Moore-Penrose Inverses of Elements in Semigroups or Rings
2 2 1 Moore-Penrose Inverses of Elements in a Semigroup
2 2 2 Moore-Penrose Inverses of Elements in a Ring
2 2 3 Moore-Penrose Inverses of Matrices over a Ring
2 3 The Moore-Penrose Inverse of a Product
2 3 1 The Moore-Penrose Inverse of a Product paq
2 3 2 The Moore-Penrose Inverse of a Matrix Product
2 4 Moore-Penrose Inverses of Differences and Products of Projections
2 5 Jacobson』s Lemma for Moore-Penrose Inverses
2 5 1 Jacobson』s Lemma for Moore-Penrose Inverses in a (Generalized) GN Ring
2 5 2 Jacobson』s Lemma for Moore-Penrose Inverses in a Ring
2 6 The Moore-Penrose Inverse of a 2×2 Block Matrix
2 7 The Moore-Penrose Inverse of a Companion Matrix
2 8 The Moore-Penrose Inverse of a Sum of Morphisms
3 Group Inverses
3 1 Group Inverses of Complex Matrices
3 2 Characterizations of Group Inverses of Elements in Semigroups and Rings
3 3 The Group Inverse of a Product paq
3 4 The Group Inverse of a Sum of Morphisms
3 5 The Group Inverse of the Sum of Two Group Invertible Elements
3 6 The Group Inverse of the Product of Two Regular Elements
3 7 Group Inverses of Block Matrices
3 8 Group Inverses of Companion Matrices Over a Ring
3 9 EP Elements
4 Drazin Inverses
4 1 Drazin Inverses of Complex Matrices
4 2 Drazin Inverses of Elements in Semigroups and Rings
4 3 Drazin Invertibility in Two Semigroups of a Ring
4 4 Jacobson』s Lemma and Cline』s Formula for Drazin Inverses
4 5 Additive Properties of Drazin Inverses of Elements
4 6 Drazin Inverses of Products and Differences of Idempotents
4 7 Drazin Inverses of Matrices Over a Ring
4 8 The Drazin Inverse of a Sum of Morphisms
5 Core Inverses
5 1 Core Inverses of Complex Matrices
5 2 Core Inverses of Elements in Rings with Involution
5 2 1 Equivalent Definitions and Characterizations of Core Inverses
5 2 2 Relationship Between Group Invertibility and Core Invertibility
5 2 3 Characterizations of Core Inverses by Algebraic Equations
5 3 Characterizations of Core Invertibility by Special Elements
5 3 1 Characterizations of Core Invertibility by Hermitian Elements or Projections in a Ring
5 3 2 Characterizations of Core Invertibility for a Regular Element by Units in a Ring
5 4 The Core Inverse of the Sum of Two Core Invertible Elements
5 5 The Core Inverse of a Product paq
5 6 Core Inverses of Companion Matrices
5 7 The Core Inverse of a Sum of Morphisms
6 Pseudo Core Inverses
6 1 Core-EP Inverses of Complex Matrices
6 2 Pseudo Core Inverses of Elements in Rings with Involution
6 3 Additive and Multiplicative Properties
6 4 Pseudo Core Inverses of Jacobson Pairs
6 5 Pseudo Core Inverses of ab and ba
6 6 The Pseudo Core Inverse of a Sum of Morphisms
6 7 The Pseudo Core Inverse of a Product
6 8 The Pseudo Core Inverse of
詳細資料或其他書籍請至台灣高等教育出版社查詢，查後請於PChome商店街私訊告知ISBN或書號，我們即儘速上架。