Models Modules and Abelian Groups In Memory of A L S Corner 1st Edition by Rudiger Gobel, Brendan Goldsmith ISBN 3110203030 9783110203035 by Rüdiger Göbel, Brendan Goldsmith 9783110194371 instant download after payment.

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Product details:

ISBN 10: 3110203030

ISBN 13: 9783110203035

Author: Rüdiger Göbel, Brendan Goldsmith

This is a memorial volume dedicated to A. L. S. Corner, previously Professor in Oxford, who published important results on algebra, especially on the connections of modules with endomorphism algebras. The volume contains refereed contributions which are related to the work of Corner. It contains also an unpublished extended paper of Corner himself.

• A memorial volume with important contributions related to algebra.

Table of contents:

1. Anthony Leonard Southern Corner 1934–2006

2. Groups of units of orders in Q-algebras

3. Basic subgroups and freeness: a counterexample

4. An extension of Butler’s theorem on endomorphism rings

5. Locally free abelian groups of finite rank

6. Decompositions of global CRQ-groups

7. Endomorphisms and automorphisms of squares of abelian groups

8. Classification of a class of finite rank Butler groups

9. The additive group of a finite local ring in which each ideal can be n-generated

10. A Jacobson radical isomorphism theorem for torsion-free modules

11. Anti-isomorphisms and the failure of duality

12. Automorphism groups of models of first-order theories

13. The classification problem for finite rank Butler groups

14. L-groups

15. Colocal subgroups of nilpotent groups of class 2

16. Divisible envelopes and cotorsion pairs over integral domains

17. Quotient, divisible, and almost completely decomposable groups

18. Pure subgroups of completely decomposable groups: an algorithmic approach

19. Strong subgroup chains and the Baer–Specker group

20. On direct decompositions of Butler B₂-groups

21. Diagonal equivalence of matrices

22. Root bases of polynomials over integral domains

23. A solution to a problem on lattice isomorphic abelian groups

24. A note on Axiom 3 and its dual for abelian groups

25. Units of modular p-mixed abelian group algebras

26. Pure covers in abelian p-groups

27. Partially decomposable primary abelian groups and the generalized core class property

28. The first Brauer–Thrall conjecture

29. A version of the Baer splitting problem for Noetherian rings

30. Characterizations and constructions of h-local domains

31. Variations on Whitehead’s problem and the structure of Ext

32. The lattice of torsion-free precover classes

33. Nonsingular rings of injective dimension 1

34. On classes defining a homological dimension

35. Truncated path algebras are homologically transparent

36. Representations of the category of serial modules of finite Goldie dimension

37. Commutativity modulo small endomorphisms and endomorphisms of zero algebraic entropy

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Tags: Rudiger Gobel, Brendan Goldsmith, Models, Modules, Abelian Groups, Memory, A L S Corner