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Algebras -- Associative

Computational Methods

16-04

[1] Werner Bley and Henri Johnston. Computing generators of free modules over orders in group algebras. J. Algebra, 320(2):836–852, 2008.
[2] Jon F. Carlson and Graham Matthews. Generators and relations for matrix algebras. J. Algebra, 300(1):134–159, 2006.
[3] Alexander Chistov, Gábor Ivanyos, and Marek Karpinski. Polynomial time algorithms for modules over finite dimensional algebras. In Proceedings of the 1997 International Symposium on Symbolic and Algebraic Computation (Kihei, HI), pages 68–74 (electronic), New York, 1997. ACM.
[4] Edward L. Green, Lenwood S. Heath, and Craig A. Struble. Constructing homomorphism spaces and endomorphism rings. J. Symbolic Comput., 32(1-2):101–117, 2001.
[5] Timo Hanke. The isomorphism problem for cyclic algebras and an application. In ISSAC 2007, pages 181–186. ACM, New York, 2007.
[6] Gábor Ivanyos and Klaus Lux. Treating the exceptional cases of the MeatAxe. Experiment. Math., 9(3):373–381, 2000.
[7] Gabriele Nebe and Allan Steel. Recognition of division algebras. J. Algebra, 322(3):903–909, 2009.
[8] Bernd Souvignier. Decomposing homogeneous modules of finite groups in characteristic zero. J. Algebra, 322(3):948–956, 2009.
[9] Katsushi Waki. Calculation of direct summands of FG-modules. Sci. Rep. Hirosaki Univ., 44(2):193–200, 1997.

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