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Algebra and its applications : International conference Algebra and its Applications, March 25-28, 1999, Ohio University, Athens / D.V. Huynh, S.K. Jain, S.R. López-Permouth, editors.
- Format:
- Book
- Conference/Event
- Author/Creator:
- International Conference on Algebra and its Applications, Corporate Author.
- Conference Name:
- International Conference on Algebra and its Applications (1999 : Athens, Ohio), issuing body.
- International Conference on Algebra and its Applications
- Series:
- Contemporary mathematics (American Mathematical Society) ; 259.
- Contemporary mathematics, 0271-4132 ; 259
- Language:
- English
- Subjects (All):
- Algebra--Congresses.
- Algebra.
- Physical Description:
- 1 online resource (586 p.)
- Edition:
- 1st ed.
- Place of Publication:
- Providence, Rhode Island : American Mathematical Society, [2000]
- Language Note:
- English
- Summary:
- 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.
- Contents:
- ""Contents""; ""Preface""; ""Isomorphisms between infinite matrix rings: A survey""; ""The double infinite chain condition and generalized deviations of posets and modules""; ""Minors of some matrices associated with a tree""; ""On quasi-Baer rings""; ""Functional identities: A survey""; ""The Grothendieck group and the extensional structure of Noetherian module categories""; ""Some non-classical finiteness conditions of modules""; ""Free modules obtained by means of infinite direct products""; ""Gorenstein injective, projective, and flat dimensions over Cohen-Macaulay rings""
- ""On Artinian modules over hyperfinite groups""""Principal one-sided ideals in Ore polynomial rings""; ""Modules over hereditary Noetherian prime rings (Survey)""; ""Prime elements of birational extensions of a Noetherian UFD""; ""On the splitting of the dual Goldie torsion theory""; ""The Soules approach to the inverse eigenvalue problem for nonnegative symmetric matrices of order n â?? 5""; ""Harmonic analysis on finite rings and applications""; ""A lattice invariant for modules, II""; ""Modules having *-radical""; ""The ""generalized class group"" of a left Noetherian ring""
- ""Indecomposable decompositions of N-â??-CS-modules""""The multiplicative group of a division algebra of degree 5 and Wedderburn's factorization theorem""; ""Modules which are self-injective relative to closed submodules""; ""On r-fold complete weight enumerators of r linear codes""; ""Levels of quotient rings of rings of continuous functions""; ""Commutative domains whose finitely generated projective modules have an injectivity property""; ""Decompositions of modules and comodules""; ""Density for polyform modules""
- Notes:
- Description based upon print version of record.
- Includes bibliographical references.
- Description based on print version record.
- ISBN:
- 0-8218-7849-2
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