Hans-Jürgen Hoehnke

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Hans-Jürgen Hoehnke (born October 27, 1925 in Danzig ; † June 10, 2007 ) was a German mathematician who studied algebra.

Life

After graduating from high school in 1943, Hoehnke attended the Air Force School at Ordensburg Sonthofen and from 1946 studied mathematics at the Martin Luther University in Halle , where he received his doctorate in 1952 under Heinrich Brandt (on the transformation properties of the nonions). Before that, after graduating in 1949, he worked as a mathematician at the Buna chemical works and in the electrical industry in Vacha an der Rhön. Even as a teenager he was an enthusiastic radio amateur. After completing his doctorate, he was Brandt's assistant in Halle. From 1956 until his retirement in 1990 he was at the Mathematical Institute of the Academy of Sciences of the GDR in Berlin (Central Institute for Mathematics and Mechanics, ZIMM). In 1965 he completed his habilitation at the Humboldt University in Berlin (on the theory of groupoids).

At the Mathematical Institute he was an outsider as a representative of abstract algebra and his research direction was classified as not systemically relevant and more emphasis was placed on application-oriented research. Hoehnke's resistance to this classification made him politically mistrusted. When he returned from a trip abroad, he learned that he was no longer the head of the Institute for Pure Mathematics. He also never received the title of professor, despite the international recognition of his work. The resignation caused him to leave the academy institute before his 65th birthday even after the fall of the Wall in 1990. In 1998 he was recognized as a victim of political persecution and rehabilitated as acting director of the Institute for Pure Mathematics.

He organized a series of conferences on General Algebra and Frontier Areas (continued later in the General Algebra Workshop ) and a conference for young algebraists in Potsdam, where he had close contacts with an algebraic group at the Pedagogical University. He had many international contacts and was co-editor of Mathematica Japonica (Scientiae Mathematicae Japonicae) and Semigroup Forum.

At first he dealt with constructive methods in algebra, later with general algebra, semigroups, groupoids, clones, homological algebra, axiomatic theory of radicals, automaton theory and algebraic questions of logic. Hoehnke categories (dht-symmetrical categories) and Hoehnke radicals are named after him.

Fonts

  • as editor: Universal Algebra and Theory of Radicals, Akademie Verlag 1976
  • as editor: Algebraic Models, Categories and Gruppoids, Akademie-Verlag 1979
  • with Lothar Budach : Automata and Functors, Akademie Verlag 1975
  • with J. Schreckenberger: Partial algebras and their theories, Aachen: Shaker 2007

literature

  • L Márki, R Pöschel, H.-J. Vogel: Hans-Jürgen Hoehnke, Semigroup Forum, Volume 52, 1996, pp. 112-118.
  • K. Denecke, Hans-Jürgen Hoehnke (1925-2007), Scientiae Mathematicae Japonicae, 2008, pp. 389-392

Web links

Individual evidence

  1. K. Denecke, Hans-Jürgen Hoehnke (1925–2007), Scientiae Mathematicae Japonicae, 2008, pp. 389–392
  2. Hans-Jürgen Vogel, Dr. habil. Hans-Jürgen Hoehnke in commemoration, commemorative speech, Halle, 2008