# András P Huhn

### Quick Info

Szeged, Hungary

Szeged, Hungary

**András Huhn**was a Hungarian mathematician who worked on the representation of distributive semilattices.

### Biography

**András Huhn**'s father was Peter Huhn who was a professor at the University of Szeged. András was brought up in Szeged where he attended school and entered the József Attila University of Szeged in 1966. He introduced the notion of an $n$-distributive lattice and a weakly distributive lattice in 1970 having begun to work on these ideas in the preceding year. He published a number of papers on this topic but his most important result of his early years came in 1975 when he published

*On G Grätzer's problem concerning automorphisms of a finitely presented lattice*in

*Algebra Universalis*Ⓣ. Let us say briefly what Grätzer's problem is.

A lattice is called finitely presented if it is freely generated by a finite partial lattice. Grätzer's problem asked whether a finitely presented lattice has a finite automorphism group or not. Huhn solved the problem by showing that there exists a finitely presented modular lattice with an infinite automorphism group.

Huhn worked at the Department of Algebra at the József Attila University of Szeged from 1971, following the completion of his studies. He was awarded the degree of Candidate of Mathematical Science by the Hungarian Academy of Sciences in 1975 and in 1978 he was promoted to associate professor at Szeged. In 1975 he publiahed *Zum Wortproblem für freie Untermodulverbände*Ⓣ which was joint work with Christian Herrmann. In this paper the authors show that all free lattices have recursively solvable word problems with respect to a number of varieties contained in the variety of all modular lattices.

An important development in Huhn's career was when he spent the academic year 1978-79 on research leave at the University of Manitoba, working with George Grätzer. In [2] Grätzer writes:-

During that period, we did the research for the papers [When is a Q-amalgamated free product of lattices always a free product (1980), A note on finitely presented lattices (1980), A note on finitely presented lattices (1981), On the structure of finitely presented lattices (1981), Amalgamated free products of lattices I : The common refinement property (1982), Amalgamated free products of lattices II : Generating sets (1981), and Amalgamated free products of lattices III : Free generating sets (1984)]. Of the thirty five or so mathematicians I have collaborated with, András certainly stands out as one of the most pleasant, most co-operative, and most talented. I believe that these papers made a significant contribution to the theory of finitely presented lattices and to the theory of amalgamated free products of lattices. the basic problems we have been working on have not yet been completely solved.Tamás Schmidt writes in [3]:-

In the last years of his life [Huhn] studied the characterisation problem of congruence lattices of lattices. First he found a new proof for my theorem that the ideal lattice of a distributive lattice is the congruence lattice of a lattice. for this proof he gave a very interesting representation theorem for finite distributive lattices.Huhn was on the editorial board of

*Algebra Universalis*and of

*Acta Scientiarum Mathematicum Szeged*. He also edited two proceeding of lattice theory conferences in Szeged of which he was an organiser. The first was the Colloquium Lattice theory held in Szeged from 27 August to 30 August 1974. The second of the two editors of these proceedings was Tamás Schmidt.

When at the height of his creative powers at the age of 38, Huhn was killed in a tragic accident [2]:-

He is survived by his wife, Gabi, and his two children, Gábor, aged 5, and Zsófia, aged 4.

### References (show)

- András P Huhn : 1947-1985,
*Acta Sci. Math. (Szeged)***50**(1-2) (1986), 3. - G Grätzer, András Huhn,
*Algebra Universalis***23**(1) (1986), 1-4. - T E Schmidt, A tribute to András Huhn,
*Order***2**(4) (1986), 331-333.

### Additional Resources (show)

Other websites about András Huhn:

Written by J J O'Connor and E F Robertson

Last Update July 2007

Last Update July 2007