Contact

Office: SAS 3232 (campus map - Building 32A)
Phone: 919.515.1875
Email: anduca@ncsu.edu

Education

PhD, University of Manitoba, Canada

M.Sc., Al.I.Cuza University, Romania

Bachelor's Degree, Al.I.Cuza University, Romania

Research Interests

My area of expertise is the the theory of rings and modules, and in particular I am interested in the injective modules over noetherian (non-commutative) rings. I am also investigating the model theoretic techniques that can be applied in a useful way to solve problems in module theory. More precisely, my research focuses on explicitly describing  the internal structure of an arbitrary  indecomposable injective module E over a principal left and right ideal domain, based on analysis of its classical and elementary socle series. In addition, since the first Weyl algebra and related algebras of differential operators posses a faithful family of localizations which are principal left and right ideal domains, some of the basic algebraic structure of their wild injective modules are consequences of the above mentioned results.


Keywords and phrases: injective module, noetherian ring, socle series, elementary socle series, localization, Weyl algebra, rings of differential operators.

Publications

  • Bridging mathematics concepts to engineering contexts: Just-in-time review modules. (with H. Ozturk, D. Raubenheimer, accepted for publication in Proceedings of The American Society for Engineering Education )
  • The socle series of an injective modules over a principal left and right ideal domain. Contemporary Mathematics, vol 480, 2009, p. 101-132
  • Injective modules over a principal left and right ideal domain, with applications. PhD Thesis. University of Manitoba, Winnipeg, Canada
  • The elementary socle series of an injective modules over a principal left and right ideal domain. (in preparation)