Algebra and Its Applications.

Intro -- 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 -- Projective modules over semilocal rings -- Determinantal inequalities: Ancient history and recent advances -- Ring extensions and duality -- Some properties of tensor-idempotent rings -- The graded version of Goldie's theorem -- On Artinian and Noetherian projective lattice geometries -- The phantom menace in representation theory -- Separability and Hopf algebras -- Quadratic residue codes over the integers modulo qm -- Characterizations of right perfect rings by ⊕supplemented modules -- The adjacency matrix of a directed graph over the Grassmann algebra -- 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 ≤ 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-∑-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.

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Electronic reproduction. Ann Arbor, Michigan : ProQuest Ebook Central, 2024. Available via World Wide Web. Access may be limited to ProQuest Ebook Central affiliated libraries.