The Ohio State University at Lima

  1. Math Dept OSU
  2. Math Dept OSU LIma


Ivo Herzog
  Professor


Ph.D. University of Notre Dame, 1989

M.S. Yale University, 1987

B.A. Oberlin College, 1982

Contact Information:

Office: GA 401B

Phone: (419) 995-8293

Email: herzog.23@osu.edu

Mailing address:

4240 Campus Dr.

Lima, OH 45804

CURRENT CV (pdf)

MY RESEARCH (pdf)

 

ONLINE PREPRINTS

Linear Algebra over a Ring (pdf)

When Cotorsion Modules are Pure-Injective (pdf) (with Ph. Rothmaler).

The Nonstandard Quantum Plane (pdf) (with S. L'Innocente), Annals of Pure and Applied Logic, to appear.

Pure Projective Approximations (pdf) (with Ph. Rothmaler), Math Proc of the Cambridge Phil Soc, to appear.

Contravariant Functors on the Category of Finitely Presented Modules (pdf), Israel J of Math, to appear.

 

 

SELECTED ONLINE REPRINTS

 

MODEL THEORY OF MODULES

The Nonstandard Quantum Plane (pdf) (with S. L'Innocente)

        Annals of Pure and Applied Logic, to appear.

Model-theoretic Aspects of Sigma-Cotorsion Modules (pdf) (with P.A. Guil Asensio)

        Annals of Pure and Applied Logic 146(1) (April 2007), 1-12.

Finite Matrix Topologies (pdf)

        Journal of Algebra 282 (2004), 157-171.

Pseudo-finite Dimensional Representations of sl(2,k) (pdf)

        Selecta Mathematica, New Series 7 (2001), 241-290.

Model theory of modules over a serial ring (pdf) (with P. Eklof)

        Annals of Pure and Applied Logic 72 (1995), 145-176.

Elementary Duality of Modules (pdf)

        Transactions of the American Mathematical Society 340 (1) (Nov 1993), 37-96.

 

REPRESENTATION (MODULE) THEORY

When Cotorsion Modules are Pure-Injective (pdf) (with Ph. Rothmaler), preprint.

The Nonstandard Quantum Plane (pdf) (with S. L'Innocente)

        Annals of Pure and Applied Logic, to appear.

Pseudo-finite Dimensional Representations of sl(2,k) (pdf)

        Selecta Mathematica, New Series 7 (2001), 241-290.

The Endomorphism Ring of a Localized Coherent Functor (pdf)

        Journal of Algebra 191 (1997), 416-426.

A Homotopy of Quiver Morphisms with Applications to Representations (pdf) (with E. Enochs)

        Canadian Journal of Mathematics 51(2) (1999), 294-308.

Finitely Presented Right Modules over a Left Pure-Semisimple Ring (pdf)

        Bulletin of the London Mathematical Society 26 (1994), 333-338.

 

FUNCTOR CATEGORIES

Pure Projective Approximations (pdf) (with Ph. Rothmaler)

        Mathematical Proceedings of the Cambridge Philosophical Society, to appear.

The Phantom Cover of a Module (pdf)

        Advances in Mathematics 215(1) (Oct 2007), 220-249.

Contravariant Functors on the Category of Finitely Presented Modules (pdf)

         Israel Journal of Mathematics, to appear.

Indecomposable Flat Cotorsion Modules (pdf)  (with P.A. Guil Asensio)

        Journal of the London Mathematical Society 76 (2007), 797-811.

Pure-Injective Envelopes (pdf)

        Journal of Algebra and Its Applications 2(4) (2003), 397-402.

Locally Simple Objects (pdf)

        Proceedings of the International Conference on Abelian Groups and Modules, Dublin,

        P. Eklof and R. Goebel, eds., Trends in Mathematics Series, Birkaeuser Verlag, Basel (1999), 341-351.

The Endomorphism Ring of a Localized Coherent Functor (pdf)

       Journal of Algebra 191 (1997), 416-426.

The Ziegler Spectrum of a Locally Coherent Grothendieck Category (pdf)

        Proceedings of the London Mathematical Society 74(3) (1997), 503-558.

 

THE CATEGORY OF FLAT OBJECTS - FINITELY ACCESSIBLE ADDITIVE CATEGORIES

Pure-injectivity in the category of flat modules (pdf) (with P.A. Guil Asensio)

        Algebra and Its Applications, Contemporary Mathematics 419 (2006), 155-166.

Indecomposable Flat Cotorsion Modules (pdf)  (with P.A. Guil Asensio)

        Journal of the London Mathematical Society 76 (2007), 797-811.

Model-theoretic Aspects of Sigma-Cotorsion Modules (pdf) (with P.A. Guil Asensio)

        Annals of Pure and Applied Logic 146(1) (April 2007), 1-12.

Sigma-Cotorsion Rings (pdf) (with P.A. Guil Asensio)

        Advances in Mathematics 191(1) (2005), 11-28.

Left Cotorsion Rings (pdf) (with P.A. Guil Asensio)

        Bulletin of the London Mathematical Society 36 (2004), 303-309.

Pure-Injective Envelopes (pdf)

       Journal of Algebra and Its Applications 2(4) (2003), 397-402.

 

RING THEORY

Non-Self-Injective Injective Hulls with Compatible Multiplication (pdf)  (with V. Camillo and P.P. Nielsen)

        Journal of Algebra 314(1) (August 2007), 471-478.

Applications of Duality to the Pure-Injective Envelope (pdf)

        Algebras and Representation Theory 10(2) (April 2007), 135-155.

Sigma-Cotorsion Rings (pdf) (with P.A. Guil Asensio)

        Advances in Mathematics 191(1) (2005), 11-28.

Left Cotorsion Rings (pdf) (with P.A. Guil Asensio)

        Bulletin of the London Mathematical Society 36 (2004), 303-309.

Model Theory of Modules over a Serial Ring (pdf) (with P. Eklof)

        Annals of Pure and Applied Logic 72 (1995), 145-176.

Finitely Presented Right Modules over a Left Pure-Semisimple Ring (pdf)

       Bulletin of the London Mathematical Society 26 (1994), 333-338.


2005, The Ohio State University.
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