Professor of Mathematics, University of Houston

Office: 607 PGH

Office Phone: (713)-743-3462

The easiest way to reach me is by sending e-mail to kkaiser@uh.edu. Students and UH colleagues should use my other e-mail: klaus@math.uh.edu. You may also send me snail-mail via the Department of Mathematics, University of Houston, Houston, TX77204-3476.

**First Information on my **Fall 2015 course
Math 5331

**Links to Older Syllabi and Notes
**

**
**I came to the University of Houston in 1969 with a degree from the University of Bonn
(PhD 1966, Habilitation 1973, Darmstadt). My main research interests are in* Mathematical Logic, Universal Algebra, Lattice Theory and Logic Programming.* Some of my papers, e.g., on quasi-universal and projective model classes are with Manfred Armbrust who retired from the University of Cologne. A paper on non-standard lattice theory is with two of my former Ph.D. students
Mai Gehrke and Matt Insall. We had this paper dedicated to Abraham Robinson.

I was from 1980-1992 an
**associate editor** of the Zeitschrift für Mathematische Logik und Grundlagen der Mathematik which shortly after the Re-Unification of Germany became
Mathematical Logic Quarterly

Since June 1996, I am the** Managing Editor of the Houston Journal of
Mathematics. **

I got quite interested in **publishing issues**:

At the Satellite Conference on *Electronic Information and
Communication in Mathematics* of the ** International Congress of
Mathematicians, Beijing, August 2002,** I presented at Tsinghua University a paper

**Paper:**
The Web: Challenge and Opportunity for an Independent Journal.pdf

**Slides: **
Tsinghua_Talk.ppt

This article is contained in Springers Lecture Notes on Computer Science,
LNCS 2730, see

http://www.springeronline.com/sgw/cda/frontpage/0,10735,5-40109-22-7110736-0,00.html

At the joint meeting of the **American Mathematical Society **and **Sociedad
Mathemática Mexicana, Houston, May 2004**, I co-organized with Bernd Wegner
and Enrique
Ramírez de Arellano a special session on *Problems and Issues in
Electronic Publishing. *I presented the paper

**Paper:**
Some Recent Issues on the Business of
Journal Publishing: An Independent Point of View.pdf

**Slides:** Houston_Talk.ppt**
**This article is contained in "

For ** the JMM 2013 Joint Mathematics Meetings in San Diego I
co-organized with Steven Krantz (AMS) and Elizabeth Loew (Springer Verlag) a session on Topics and Issues in
Electronic Publishing**

Paper:

P

http://www.emis.de/proceedings/TIEP2013/

**A footnote in model theory:** I proved 1966 that the variety of all algebras of a fixed type admits a model completion. Like in the case of fields, the models of the inductive hull (now called Kaiser hull) ) are algebraically closed. But what about the models of the projective hull? Robinson mentioned 1971 that probably a whole new logic might be needed for characterizing those algebras. And indeed, the axioms of the projective hull are exactly what is now referred to as Clark's Equational Theory (1978) which is central for Prolog. But interestingly enough, Mal'cev knew these axioms already (1962) as the axioms for locally absolutely free algebras. He also noticed completeness of these axioms, a fact that was rediscovered by Kunen about 25 years later.

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This page was updated on July 29, 2015