Modules over endomorphism rings /
Faticoni, Theodore G. 1954-
Modules over endomorphism rings / Theodore G. Faticoni. - 1 online resource (xx, 372 pages) : illustrations. - Encyclopedia of mathematics and its applications ; [130] . - Encyclopedia of mathematics and its applications ; v. 130. .
Series numbering from jacket.
Includes bibliographical references (pages 362-367) and index.
1. Preliminary results -- 2. Class number of an abelian group -- 3. Mayer-Victoris sequences -- 4. Lifting units -- 5. conductor -- 6. Conductors and groups -- 7. Invertible fractional ideals -- 8. L-groups -- 9. Modules and homotopy classes -- 10. Tensor functor equivalences -- 11. Characterizing endomorphisms -- 12. Projective modules -- 13. Finitely generated modules -- 14. Rtffr E-projective groups -- 15. Injective endomorphism modules -- 16. diagram of categories -- 17. Diagrams of abelian groups -- 18. Marginal isomorphisms.
"For graduate students this is a useful introduction, while the more experienced mathematician will discover that the book contains results that are not otherwise available. Each chapter contains a list of exercises and problems for future research, which provide a springboard for students entering modern professional mathematics."--Jacket.
9781107086982 1107086981 1139087347 9781139087346 9781107093201 1107093201
Endomorphism rings.
Modules (Algebra)
MATHEMATICS--Algebra--Intermediate.
Endomorphism rings.
Modules (Algebra)
Endomorphismus.
Modul.
Endomorphismus.
Modul.
Electronic books.
Electronic books.
QA251.5 / .F38 2010eb
512.4
Modules over endomorphism rings / Theodore G. Faticoni. - 1 online resource (xx, 372 pages) : illustrations. - Encyclopedia of mathematics and its applications ; [130] . - Encyclopedia of mathematics and its applications ; v. 130. .
Series numbering from jacket.
Includes bibliographical references (pages 362-367) and index.
1. Preliminary results -- 2. Class number of an abelian group -- 3. Mayer-Victoris sequences -- 4. Lifting units -- 5. conductor -- 6. Conductors and groups -- 7. Invertible fractional ideals -- 8. L-groups -- 9. Modules and homotopy classes -- 10. Tensor functor equivalences -- 11. Characterizing endomorphisms -- 12. Projective modules -- 13. Finitely generated modules -- 14. Rtffr E-projective groups -- 15. Injective endomorphism modules -- 16. diagram of categories -- 17. Diagrams of abelian groups -- 18. Marginal isomorphisms.
"For graduate students this is a useful introduction, while the more experienced mathematician will discover that the book contains results that are not otherwise available. Each chapter contains a list of exercises and problems for future research, which provide a springboard for students entering modern professional mathematics."--Jacket.
9781107086982 1107086981 1139087347 9781139087346 9781107093201 1107093201
Endomorphism rings.
Modules (Algebra)
MATHEMATICS--Algebra--Intermediate.
Endomorphism rings.
Modules (Algebra)
Endomorphismus.
Modul.
Endomorphismus.
Modul.
Electronic books.
Electronic books.
QA251.5 / .F38 2010eb
512.4