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TitleConstructing endomorphism rings via duals
TypeArticle in Conference Proceedings
AbstractWe present a new deterministic algorithm for constructing endomorphism rings of a finite dimensional module M, given via a vertex projective presentation, over finite dimensional quotients of path algebras. We use the theory of right Gröbner basis to encode M and to construct appropriate systems of equations for finding the endomorphism ring of M. The algorithm is implemented in the computer algebra system GAP and is included in HOPF, a computational package for noncommutative algebra. We compare the performance of our implementation with implementations of existing algorithms for computing endomorphism rings.
URL http://doi.acm.org/10.1145/345542.345607
PublisherACM Press
AddressNew York, NY, USA
Translation No
Refereed No
ConferencenameInternational Symposium on Symbolic and Algebraic Computation 2000