Algebra and Its Applications: International Conference Algebra and Its Applications, March 25-28, 1999, Ohio University, Athens (Contemporary Mathematics)

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. Isomorphisms Between Infinite Matrix Rings: A Survey / Gene Abrams, Juan Jacobo Simon 1 -- Double Infinite Chain Condition And Generalized Deviations Of Posets And Modules / Toma Albu, Mark L. Teply 13 -- Minors Of Some Matrices Associated With A Tree / R.b. Bapat, Devadatta M. Kulkarni 45 -- On Quasi-baer Rings / Gary F. Birkenmeier, Jin Yong Kim, Jae Keol Park 67 -- Functional Identities: A Survey / Matej Bresar 93 -- Grothendieck Group And The Extensional Structure Of Noetherian Module Categories / Gary Brookfield 111 -- Some Non-classical Finiteness Conditions Of Modules / John Dauns, Yiqiang Zhou 133 -- Free Modules Obtained By Means Of Infinite Direct Products / Gabriella D'este 161 -- Gorenstein Injective, Projective, And Flat Dimensions Over Cohen-macaulay Rings / Edgar E. Enochs, Overtoun M.g. Jenda 175 -- Projective Modules Over Semilocal Rings / Alberto Facchini, Dolors Herbera 181 -- Determinantal Inequalities: Ancient History And Recent Advances / Shaun M. Fallat, Charles R. Johnson 199 -- Ring Extensions And Duality / Kent R. Fuller 213 -- Some Properties Of Tensor-idempotent Rings / Jose Luis Garcia, Leandro Marin 223 -- Graded Version Of Goldie's Theorem / K.r. Goodearl, J.t. Stafford 237 -- On Artinian And Noetherian Projective Lattice Geometries / M. Greferath 241 -- Phantom Menace In Representation Theory / Birge Huisgen-zimmermann 247 -- Separability And Hopf Algebras / Lars Kadison, A.a. Stolin 279 -- Quadratic Residue Codes Over The Integers Modulo Q[superscript M] / Pramod Kanwar 299 -- Characterizations Of Right Perfect Rings By [plus Sign In Circle]-supplemented Modules / Derya Keskin 313 -- Adjacency Matrix Of A Directed Graph Over The Grassmann Algebra / Peter Kortesi, Jeno Szigeti 319 -- On Artinian Modules Over Hyperfinite Groups / L.a. Kurdachenko, I. Ya. Subbotin 323 -- Principal One-sided Ideals In Ore Polynomial Rings / T.y. Lam, Andre Leroy 333 -- Modules Over Hereditary Noetherian Prime Rings (survey) / Lawrence S. Levy 353 -- Prime Elements Of Birational Extensions Of A Noetherian Ufd / Aihua Li 371 -- On The Splitting Of The Dual Goldie Torsion Theory / Christian Lomp 377 -- Soules Approach To The Inverse Eigenvalue Problem For Nonnegative Symmetric Matrices Of Order N [less Than Or Equal] 5 / J.j. Mcdonald, M. Neumann 387 -- Harmonic Analysis On Finite Rings And Applications / Carlos Julio Moreno 409 -- A Lattice Invariant For Modules, Ii / Barbara L. Osofsky 431 -- Modules Having *-radical / A. Cigdem Ozcan 439 -- Generalized Class Group Of A Left Noetherian Ring / Christopher J. Pappacena 451 -- Indecomposable Decompositions Of N-[sigma]-cs-modules / Jose L. Gomez Pardo, Pedro A. Guil Asensio 467 -- Multiplicative Group Of A Division Algebra Of Degree 5 And Wedderburn's Factorization Theorem / Louis H. Rowen, Yoav Segev 475 -- Modules Which Are Self-injective Relative To Closed Submodules / Catarina Santa-clara, Patrick F. Smith 487 -- On R-fold Complete Weight Enumerators Of R Linear Codes / Irfan Siap, Dijen K. Ray-chaudhuri 501 -- Levels Of Quotient Rings Of Rings Of Continuous Functions / Ajit Iqbal Singh, Mary Anne Swardson 515 -- Commutative Domains Whose Finitely Generated Projective Modules Have An Injectivity Property / Patrick F. Smith 529 -- Decompositions Of Modules And Comodules / Robert Wisbauer 547 -- Density For Polyform Modules / Julius M. Zelmanowitz 563. D.v. Huynh, S.k. Jain, S.r. López-permouth, Editors. American Mathematical Society. Includes Bibliographical References. "This volume consists of contributions by speakers at a conference on Algebra and Its Applications that took place in Athens, Ohio, in March of 2005. It provides a snapshot of the diversity of themes and applications that interest algebraists today. The book will serve both the specialist looking for the latest result and the novice seeking an accessible reference for some of the ideas and results presented here."--BOOK JACKET