Algebra and Its Applications: International Conference, Algebra and Its Applications, March 22-26, 2005, Ohio University, Athens, Ohio

Capa
American Mathematical Soc., 2000 - 569 páginas
0 Resenhas
Among all areas of mathematics, algebra is one of the best suited to find applications within the frame of our booming technological society. The thirty-eight articles in this volume encompass the proceedings of the International Conference on Algebra and Its Applications (Athens, OH, 1999), which explored the applications and interplay among the disciplines of ring theory, linear algebra, and coding theory. The presentations collected here reflect the dialogue between mathematicians involved in theoretical aspects of algebra and mathematicians involved in solving problems where state-of-the-art research tools may be used and applied. This ""Contemporary Mathematics"" series volume communicates the potential for collaboration among those interested in exploring the wealth of applications for abstract algebra in fields such as information and coding. The expository papers would serve well as supplemental reading in graduate seminars.
 

O que estão dizendo - Escrever uma resenha

Não encontramos nenhuma resenha nos lugares comuns.

Páginas selecionadas

Conteúdo

A survey
1
The double infinite chain condition and generalized deviations of posets and modules
13
Minors of some matrices associated with a tree
45
On quasiBaer rings
67
A survey
93
The Grothendieck group and the extensional structure of Noetherian module categories
111
Some nonclassical finiteness conditions of modules
133
Free modules obtained by means of infinite direct products
161
On Artinian modules over hyperfinite groups
323
Principal onesided ideals in Ore polynomial rings
333
Modules over hereditary Noetherian prime rings Survey
353
Prime elements of birational extensions of a Noetherian UFD
371
On the splitting of the dual Goldie torsion theory
377
The Soules approach to the inverse eigenvalue problem for nonnegative symmetric matrices of order n 5
387
Harmonic analysis on finite rings and applications
409
A lattice invariant for modules II
431

Gorenstein injective projective and flat dimensions over CohenMacaulay rings
175
Projective modules over semilocal rings
181
Ancient history and recent advances
199
Ring extensions and duality
213
Some properties of tensoridempotent rings
223
The graded version of Goldies theorem
237
On Artinian and Noetherian projective lattice geometries
241
The phantom menace in representation theory
247
Separability and Hopf algebras
279
Quadratic residue codes over the integers modulo qm
299
Characterizations of right perfect rings by supplemented modules
313
The adjacency matrix of a directed graph over the Grassmann algebra
319
Modules having radical
439
The generalized class group of a left Noetherian ring
451
Indecomposable decompositions of NCSmodules
467
The multiplicative group of a division algebra of degree 5 and Wedderburns factorization theorem
475
Modules which are selfinjective relative to closed submodules
487
On rfold complete weight enumerators of r linear codes
501
Levels of quotient rings of rings of continuous functions
515
Commutative domains whose finitely generated projective modules have an injectivity property
529
Decompositions of modules and comodules
547
Density for polyform modules
563
Direitos autorais

Outras edições - Visualizar todos

Termos e frases comuns

Sobre o autor (2000)

S. K. Jain is a Distinguished Professor of Mathematics at Ohio University. He is also the Director of the Center of Ring Theory and its Applications. Before joining the faculty at Ohio University, he was a Reader in Mathematics at the University of Delhi (1965-70). Dr. Jain has held visiting professor appointments at several institutions worldwide. His visiting positions include the Riverside, Santa Barbara and Berkeley campuses of the University of California, the Ohio State University in Columbus, North Carolina State University in Raleigh, University of Chicago, McMaster University in Hamilton and University of Frankfurt as well as the Indian Statistical Institute, and the Indian Institute of Technology. Dr. Jain has authored more than 100 research articles that have been published in professional journals. He was awarded the Outstanding Graduate Faculty Award, 1999- Ohio University. A life member of the Indian Mathematical Society, he is also a member of the American Mathematical Society and the Society for Industrial and Applied Mathematics. He has delivered Professional lectures at mathematical meetings all over the world and has been the organizer of conferences on many topics in Abstract Algebra. He is an executive editor of the East-West Journal of Mathematics and executive editor of the Journal of Algebra and its Applications, published by World Scientific Press. He has supervised 18 Ph.D. dissertations in noncommutative rings, modules, and applied linear algebra.

Informações bibliográficas