Christian Edgar Lomp's Annual Report
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In 2013 I was working on several topics in algebra. Together with Edmund Puczylowski from the University of Warsaw I was working on a problem in module theory to characterise those rings such that the dimension formula holds for Goldie's uniform rank for all modules. With Jawad Abuhlail from the King Fahd University of Petroleum and Minerals I generalized many properties of classical Zariski-topology to modular lattices in order to apply these to modules and comodules over rings and coalgebras. Furthermore I was working on other aspects regarding Hopf algebras and coalgebras while spending some time at the University of Düsseldorf.
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Editorial activities:
I am a member of the editorial board of the International Electronic Journal of Algebra. and of the Mathematical Proceedings of the Royal Irish Academy.
Work visits:
University of Düsseldorf (March-June 2013)