Contemporary Mathematics 2000; 569 pp; softcover Volume: 259 ISBN10: 082181950X ISBN13: 9780821819500 List Price: US$126 Member Price: US$100.80 Order Code: CONM/259
 Among all areas of mathematics, algebra is one of the best suited to find applications within the frame of our booming technological society. The thirtyeight 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 stateoftheart 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. Readership Advanced graduate students and researchers in ring theory, linear algebra, and algebraic coding theory. Table of Contents  G. Abrams and J. J. Simón  Isomorphisms between infinite matrix rings: A survey
 T. Albu and M. L. Teply  The double infinite chain condition and generalized deviations of posets and modules
 R. B. Bapat and D. M. Kulkarni  Minors of some matrices associated with a tree
 G. F. Birkenmeier, J. Y. Kim, and J. K. Park  On quasiBaer rings
 M. Brešar  Functional identities: A survey
 G. Brookfield  The Grothendieck group and the extensional structure of Noetherian module categories
 J. Dauns and Y. Zhou  Some nonclassical finiteness conditions of modules
 G. D'Este  Free modules obtained by means of infinite direct products
 E. E. Enochs and O. M. G. Jenda  Gorenstein injective, projective, and flat dimensions over CohenMacaulay rings
 A. Facchini and D. Herbera  Projective modules over semilocal rings
 S. M. Fallat and C. R. Johnson  Determinantal inequalities: Ancient history and recent advances
 K. R. Fuller  Ring extensions and duality
 J. L. García and L. Marín  Some properties of tensoridempotent rings
 K. R. Goodearl and J. T. Stafford  The graded version of Goldie's theorem
 M. Greferath  On Artinian and Noetherian projective lattice geometries
 B. HuisgenZimmermann  The phantom menace in representation theory
 L. Kadison and A. A. Stolin  Separability and Hopf algebras
 P. Kanwar  Quadratic residue codes over the integers modulo \(q^m\)
 D. Keskin  Characterizations of right perfect rings by \(\oplus\)supplemented modules
 P. Körtesi and J. Szigeti  The adjacency matrix of a directed graph over the Grassmann algebra
 L. A. Kurdachenko and I. Ya. Subbotin  On Artinian modules over hyperfinite groups
 T. Y. Lam and A. Leroy  Principal onesided ideals in Ore polynomial rings
 L. S. Levy  Modules over hereditary Noetherian prime rings (Survey)
 A. Li  Prime elements of birational extensions of a Noetherian UFD
 C. Lomp  On the splitting of the dual Goldie torsion theory
 J. J. McDonald and M. Neumann  The Soules approach to the inverse eigenvalue problem for nonnegative symmetric matrices of order \(n \leq 5\)
 C. J. Moreno  Harmonic analysis on finite rings and applications
 B. L. Osofsky  A lattice invariant for modules, II
 A. Özcan  Modules having \(^*\)radical
 C. J. Pappacena  The "generalized class group" of a left Noetherian ring
 J. L. Gómez Pardo and P. A. Guil Asensio  Indecomposable decompositions of \(\aleph\)\(\Sigma\)CSmodules
 L. H. Rowen and Y. Segev  The multiplicative group of a division algebra of degree 5 and Wedderburn's factorization theorem
 C. SantaClara and P. F. Smith  Modules which are selfinjective relative to closed submodules
 I. Siap and D. K. RayChaudhuri  On \(r\)fold complete weight enumerators of \(r\) linear codes
 A. I. Singh and M. A. Swardson  Levels of quotient rings of rings of continuous functions
 P. F. Smith  Commutative domains whose finitely generated projective modules have an injectivity property
 R. Wisbauer  Decompositions of modules and comodules
 J. M. Zelmanowitz  Density for polyform modules
