Author: Carl Faith
Publisher: CRC Press
ISBN: 1000657310
Category : Mathematics
Languages : en
Pages : 120
Book Description
First published in 1982. These lectures are in two parts. Part I, entitled injective Modules Over Levitzki Rings, studies an injective module E and chain conditions on the set A^(E,R) of right ideals annihilated by subsets of E. Part II is on the subject of (F)PF, or (finitely) pseudo-Frobenius, rings [i.e., all (finitely generated) faithful modules generate the category mod-R of all R-modules]. (The PF rings had been introduced by Azumaya as a generalization of quasi-Frobenius rings, but FPF includes infinite products of Prufer domains, e.g., Z w .)
Injective Modules and Injective Quotient Rings
Author: Carl Faith
Publisher: CRC Press
ISBN: 1000657310
Category : Mathematics
Languages : en
Pages : 120
Book Description
First published in 1982. These lectures are in two parts. Part I, entitled injective Modules Over Levitzki Rings, studies an injective module E and chain conditions on the set A^(E,R) of right ideals annihilated by subsets of E. Part II is on the subject of (F)PF, or (finitely) pseudo-Frobenius, rings [i.e., all (finitely generated) faithful modules generate the category mod-R of all R-modules]. (The PF rings had been introduced by Azumaya as a generalization of quasi-Frobenius rings, but FPF includes infinite products of Prufer domains, e.g., Z w .)
Publisher: CRC Press
ISBN: 1000657310
Category : Mathematics
Languages : en
Pages : 120
Book Description
First published in 1982. These lectures are in two parts. Part I, entitled injective Modules Over Levitzki Rings, studies an injective module E and chain conditions on the set A^(E,R) of right ideals annihilated by subsets of E. Part II is on the subject of (F)PF, or (finitely) pseudo-Frobenius, rings [i.e., all (finitely generated) faithful modules generate the category mod-R of all R-modules]. (The PF rings had been introduced by Azumaya as a generalization of quasi-Frobenius rings, but FPF includes infinite products of Prufer domains, e.g., Z w .)
Lectures on Injective Modules and Quotient Rings
Author: Carl Faith
Publisher: Springer
ISBN: 3540355510
Category : Mathematics
Languages : en
Pages : 158
Book Description
Publisher: Springer
ISBN: 3540355510
Category : Mathematics
Languages : en
Pages : 158
Book Description
Lectures on Injective Modules and Quotient Rings
Author: Carl Clifton Faith
Publisher:
ISBN: 9780387039206
Category : Injective modules (Algebra)
Languages : en
Pages : 139
Book Description
Publisher:
ISBN: 9780387039206
Category : Injective modules (Algebra)
Languages : en
Pages : 139
Book Description
INJECTIVE MODULES AND INJECTIVE QUOTIENT RINGS
Author: Carl Faith
Publisher:
ISBN: 9780429332883
Category : Injective modules (Algebra)
Languages : en
Pages :
Book Description
First published in 1982. These lectures are in two parts. Part I, entitled injective Modules Over Levitzki Rings, studies an injective module E and chain conditions on the set A^(E, R) of right ideals annihilated by subsets of E. Part II is on the subject of (F)PF, or (finitely) pseudo-Frobenius, rings [i.e. all (finitely generated) faithful modules generate the category mod-R of all R-modules]. (The PF rings had been introduced by Azumaya as a generalization of quasi-Frobenius rings, but FPF includes infinite products of Prufer domains, e.g., Z w .)
Publisher:
ISBN: 9780429332883
Category : Injective modules (Algebra)
Languages : en
Pages :
Book Description
First published in 1982. These lectures are in two parts. Part I, entitled injective Modules Over Levitzki Rings, studies an injective module E and chain conditions on the set A^(E, R) of right ideals annihilated by subsets of E. Part II is on the subject of (F)PF, or (finitely) pseudo-Frobenius, rings [i.e. all (finitely generated) faithful modules generate the category mod-R of all R-modules]. (The PF rings had been introduced by Azumaya as a generalization of quasi-Frobenius rings, but FPF includes infinite products of Prufer domains, e.g., Z w .)
Rings and Modules of Quotients
Author: B. Stenström
Publisher: Springer
ISBN: 3540370021
Category : Mathematics
Languages : en
Pages : 143
Book Description
Publisher: Springer
ISBN: 3540370021
Category : Mathematics
Languages : en
Pages : 143
Book Description
Injective Modules and Quotient Rings
Author: Hildigunnur Halldórsdóttir
Publisher:
ISBN:
Category : Rings (Algebra)
Languages : en
Pages : 184
Book Description
Publisher:
ISBN:
Category : Rings (Algebra)
Languages : en
Pages : 184
Book Description
Injective Modules and Injective Quotient Rings
Author: Carl Faith
Publisher: CRC Press
ISBN: 1000673030
Category : Mathematics
Languages : en
Pages : 124
Book Description
First published in 1982. These lectures are in two parts. Part I, entitled injective Modules Over Levitzki Rings, studies an injective module E and chain conditions on the set A^(E,R) of right ideals annihilated by subsets of E. Part II is on the subject of (F)PF, or (finitely) pseudo-Frobenius, rings [i.e., all (finitely generated) faithful modules generate the category mod-R of all R-modules]. (The PF rings had been introduced by Azumaya as a generalization of quasi-Frobenius rings, but FPF includes infinite products of Prufer domains, e.g., Z w .)
Publisher: CRC Press
ISBN: 1000673030
Category : Mathematics
Languages : en
Pages : 124
Book Description
First published in 1982. These lectures are in two parts. Part I, entitled injective Modules Over Levitzki Rings, studies an injective module E and chain conditions on the set A^(E,R) of right ideals annihilated by subsets of E. Part II is on the subject of (F)PF, or (finitely) pseudo-Frobenius, rings [i.e., all (finitely generated) faithful modules generate the category mod-R of all R-modules]. (The PF rings had been introduced by Azumaya as a generalization of quasi-Frobenius rings, but FPF includes infinite products of Prufer domains, e.g., Z w .)
Extending Modules
Author: Nguyen Viet Dung
Publisher: Routledge
ISBN: 1351449087
Category : Mathematics
Languages : en
Pages : 286
Book Description
Module theory is an important tool for many different branches of mathematics, as well as being an interesting subject in its own right. Within module theory, the concept of injective modules is particularly important. Extending modules form a natural class of modules which is more general than the class of injective modules but retains many of its
Publisher: Routledge
ISBN: 1351449087
Category : Mathematics
Languages : en
Pages : 286
Book Description
Module theory is an important tool for many different branches of mathematics, as well as being an interesting subject in its own right. Within module theory, the concept of injective modules is particularly important. Extending modules form a natural class of modules which is more general than the class of injective modules but retains many of its
Modules and Rings
Author: John Dauns
Publisher: Cambridge University Press
ISBN: 0521462584
Category : Mathematics
Languages : en
Pages : 470
Book Description
This book on modern module and non-commutative ring theory is ideal for beginning graduate students. It starts at the foundations of the subject and progresses rapidly through the basic concepts to help the reader reach current research frontiers. Students will have the chance to develop proofs, solve problems, and to find interesting questions. The first half of the book is concerned with free, projective, and injective modules, tensor algebras, simple modules and primitive rings, the Jacobson radical, and subdirect products. Later in the book, more advanced topics, such as hereditary rings, categories and functors, flat modules, and purity are introduced. These later chapters will also prove a useful reference for researchers in non-commutative ring theory. Enough background material (including detailed proofs) is supplied to give the student a firm grounding in the subject.
Publisher: Cambridge University Press
ISBN: 0521462584
Category : Mathematics
Languages : en
Pages : 470
Book Description
This book on modern module and non-commutative ring theory is ideal for beginning graduate students. It starts at the foundations of the subject and progresses rapidly through the basic concepts to help the reader reach current research frontiers. Students will have the chance to develop proofs, solve problems, and to find interesting questions. The first half of the book is concerned with free, projective, and injective modules, tensor algebras, simple modules and primitive rings, the Jacobson radical, and subdirect products. Later in the book, more advanced topics, such as hereditary rings, categories and functors, flat modules, and purity are introduced. These later chapters will also prove a useful reference for researchers in non-commutative ring theory. Enough background material (including detailed proofs) is supplied to give the student a firm grounding in the subject.
Report on Injective Modules
Author: Chi-te Tsai
Publisher: Kingston, Ont : Queen's University, 1965 [c1966]
ISBN:
Category : Algebraic fields
Languages : en
Pages : 268
Book Description
Publisher: Kingston, Ont : Queen's University, 1965 [c1966]
ISBN:
Category : Algebraic fields
Languages : en
Pages : 268
Book Description