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Algebras from Standard Constructions
16Sxx
| [1] |
Jon F. Carlson and Graham Matthews.
Generators and relations for matrix algebras.
J. Algebra, 300(1):134–159, 2006. |
| [2] |
Robert S. Coulter, George Havas, and Marie Henderson.
Giesbrecht's algorithm, the HFE cryptosystem and Ore's
ps-polynomials.
In Computer Mathematics (Matsuyama, 2001), volume 9 of Lecture Notes Ser. Comput, pages 36–45. World Sci. Publ., River Edge, NJ,
2001. |
| [3] |
Galyna Dobrovolska and Pavel Etingof.
An upper bound for the lower central series quotients of a free
associative algebra.
Int. Math. Res. Not. IMRN, (12):Art. ID rnn039, 10, 2008. |
| [4] |
Pavel Etingof and Victor Ginzburg.
Noncommutative complete intersections and matrix integrals.
Pure Appl. Math. Q., 3(1, part 3):107–151, 2007. |
| [5] |
Pavel Etingof, John Kim, and Xiaoguang Ma.
On universal Lie nilpotent associative algebras.
J. Algebra, 321(2):697–703, 2009. |
| [6] |
Boris Feigin and Boris Shoikhet.
On [A, A]/[A, [A, A]] and on a Wn-action on the consecutive
commutators of free associative algebra.
Math. Res. Lett., 14(5):781–795, 2007. |
| [7] |
Edward L. Green, Lenwood S. Heath, and Craig A. Struble.
Constructing endomorphism rings via duals.
In ISSAC '00: Proceedings of the 2000 International Symposium on
Symbolic and Algebraic Computation (St. Andrews), pages 129–136
(electronic), New York, 2000. ACM. |
| [8] |
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. |
| [9] |
Timo Hanke.
A twisted Laurent series ring that is a noncrossed product.
Israel J. Math., 150:199–203, 2005. |
| [10] |
Miles Lee Holloway.
Derived Equivalences for Group Algebras.
Dissertation, University of Bristol, 2001. |
| [11] |
R. V. Kravchenko and B. V. Petrenko.
Some formulas for the minimal number of generators of the direct sum
of matrix rings.
arXiv:math/0611674, 23 pages, 2007. |
| [12] |
Matthias Künzer.
On representations of twisted group rings.
J. Group Theory, 7(2):197–229, 2004. |
| [13] |
M. Anwar Rao and Robert Sandling.
The characterisation of modular group algebras having unit groups of
nilpotency class 3.
Canad. Math. Bull., 38(1):112–116, 1995. |
| [14] |
I. K. Redchuk.
Finite-dimensionality and growth of algebras defined by polylinearly
connected generators.
Ukraïn. Mat. Zh., 57(10):1435–1440, 2005. |
| [15] |
Stewart Wilcox.
Complementation in the group of units of matrix rings.
Bull. Austral. Math. Soc., 70(2):223–227, 2004. |
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