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Original Articles

The center of the ring of 3×3 generic matrices

Pages 203-212 | Published online: 30 May 2007

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UshaN. Bhosle & Indranil Biswas. (2014) Brauer Group and Birational Type of Moduli Spaces of Torsionfree Sheaves on a Nodal Curve. Communications in Algebra 42:4, pages 1769-1784.
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A.V. Iltyakov. (1998) On algebras of generic elements of simple Lie algebras. Communications in Algebra 26:5, pages 1465-1473.
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Shmuel Friedland. (1990) Rationality of certain field of invariant functions. Linear and Multilinear Algebra 27:4, pages 299-301.
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Articles from other publishers (48)

Igor Klep, Špela Špenko & Jurij Volčič. (2018) Positive trace polynomials and the universal Procesi-Schacher conjecture. Proceedings of the London Mathematical Society 117:6, pages 1101-1134.
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Ofir David. (2016) The center of the generic G-crossed product. Journal of Algebra 463, pages 103-133.
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Esther Beneish. (2010) On the Dual of the Procesi–Formanek Lattice. Algebras and Representation Theory 15:3, pages 581-592.
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Esther Beneish. (2005) Centers of generic algebras with involution. Journal of Algebra 294:1, pages 41-50.
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Esther Beneish. (2004) On the ring of generic matrices . Journal of Algebra 282:2, pages 797-808.
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Vesselin Drensky & Edward FormanekVesselin Drensky & Edward Formanek. 2004. Polynomial Identity Rings. Polynomial Identity Rings 193 196 .
Esther Beneish. (2003) Monomial actions of the symmetric group. Journal of Algebra 265:2, pages 405-419.
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Esther Beneish. (2003) The center of the generic division ring and twisted multiplicative group actions. Journal of Algebra 259:2, pages 313-322.
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Edward Formanek. (2002) The ring of generic matrices. Journal of Algebra 258:1, pages 310-320.
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Nicole Lemire & Martin Lorenz. (2000) On certain lattices associated with generic division algebras. Journal of Group Theory 3:4.
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Freddy van oystaeyen. 2000. 461 505 .
David Saltman. 1999. Algebra And Number Theory. Algebra And Number Theory.
David Saltman. 1999. Algebra And Number Theory. Algebra And Number Theory.
Bert Sevenhant & Michel Van Den Bergh. (1999) On the Number of Absolutely Indecomposable Representations of a Quiver. Journal of Algebra 221:1, pages 29-49.
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Esther Beneish. (1998) Induction theorems on the stable rationality of the center of the ring of generic matrices. Transactions of the American Mathematical Society 350:9, pages 3571-3585.
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V V Benyash-Krivets & V I Chernousov. (1997) Representation varieties of the fundamental groups of non-orientable surfaces. Sbornik: Mathematics 188:7, pages 997-1039.
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V. E. Voskresenskii. (1997) Birational geometry of linear algebraic groups and galois modules. Journal of Mathematical Sciences 85:4, pages 2017-2114.
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??????? ?????????? ?????-??????Valerii Vatslavovich Benyash-Krivets, ???????? ???????? ?????????Vladimir Ivanovich Chernousov. (1997) ???????????? ????????????? ??????????????? ????? ?????????? ??????????????? ????????????Representation varieties of the fundamental groups of non-orientable surfaces. ?????????????? ??????? Matematicheskii Sbornik 188:7, pages 47-92.
Crossref
A. S. Rapinchuk, V. V. Benyash-Krivetz & V. I. Chernousov. (1996) Representation varieties of the fundamental groups of compact orientable surfaces. Israel Journal of Mathematics 93:1, pages 29-71.
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Zinovy Reichstein & Nikolaus Vonessen. (1996) Rational central simple algebras. Israel Journal of Mathematics 95:1, pages 253-280.
Crossref
V. P. Platonov & V. I. Yanchevskii. 1996. Algebra IX. Algebra IX 121 233 .
A. Iltvakov. (1995) Trace polynomials and invariant theory. Geometriae Dedicata 58:3, pages 327-333.
Crossref
V. L. Popov & E. B. Vinberg. 1994. Algebraic Geometry IV. Algebraic Geometry IV 123 278 .
Zinovy Reichstein. (1993) On automorphisms of matrix invariants. Transactions of the American Mathematical Society 340:1, pages 353-371.
Crossref
Aidan Schofield. (1992) Matrix invariants of composite size. Journal of Algebra 147:2, pages 345-349.
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S. V. Polikarpov. (1992) Free affine Albert algebras. Siberian Mathematical Journal 32:6, pages 1008-1016.
Crossref
Christine Bessenrodt & Lieven Le Bruyn. (1991) Stable rationality of certain PGLn-quotients. Inventiones mathematicae 104:1, pages 179-199.
Crossref
Lieven le Bruyn. (1991) Centers of generic division algebras, the rationality problem 1965–1990. Israel Journal of Mathematics 76:1-2, pages 97-111.
Crossref
David J Saltman. (1990) Multiplicative field invariants and the Brauer group. Journal of Algebra 133:2, pages 533-544.
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Arnaud Beauville. (1990) Jacobiennes des courbes spectrales et systèmes hamiltoniens complètement intégrables. Acta Mathematica 164:0, pages 211-235.
Crossref
Michel Van den Bergh. (1989) The center of the generic division algebra. Journal of Algebra 127:1, pages 106-126.
Crossref
Lieven Le Bruyn. 1989. Séminaire d’Algèbre Paul Dubreil et Marie-Paul Malliavin. Séminaire d’Algèbre Paul Dubreil et Marie-Paul Malliavin 127 136 .
Lieven Le Bruyn. (1988) Some remarks on rational matrix invariants. Journal of Algebra 118:2, pages 487-493.
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Allan Berele & David J. Saltman. (1988) The centers of generic division algebras with involution. Israel Journal of Mathematics 63:1, pages 98-118.
Crossref
Lieve Le Bruyn. 1988. Ring Theory. Ring Theory 135 164 .
David J. Saltman. 1988. Perspectives in Ring Theory. Perspectives in Ring Theory 279 297 .
Jean-Louis Colliot-Th?l?ne & Jean-Jacques Sansuc. (1987) Principal homogeneous spaces under flasque tori: Applications. Journal of Algebra 106:1, pages 148-205.
Crossref
Yasuo Teranishi. (2016) The ring of invariants of matrices. Nagoya Mathematical Journal 104, pages 149-161.
Crossref
David J. Saltman. (1984) Retract rational fields and cyclic Galois extensions. Israel Journal of Mathematics 47:2-3, pages 165-215.
Crossref
Louis H. Rowen. (1984) Brauer factor sets and simple algebras. Transactions of the American Mathematical Society 282:2, pages 765-772.
Crossref
Boris Raykhshteyn. (1983) On rational invariants of a set of symmetric matrices. Linear Algebra and its Applications 54, pages 17-28.
Crossref
V. T. Markov, A. V. Mikhalev, L. A. Skornyakov & A. A. Tuganbaev. (1983) Modules. Journal of Soviet Mathematics 23:6, pages 2642-2707.
Crossref
David J. Saltman. 1982. Brauer Groups in Ring Theory and Algebraic Geometry. Brauer Groups in Ring Theory and Algebraic Geometry 96 117 .
B. Fein & M. Schacher. 1981. Groupe de Brauer. Groupe de Brauer 46 74 .
A. Verschoren. 1981. Séminaire d'Algèbre Paul Dubreil et Marie-Paule Malliavin. Séminaire d'Algèbre Paul Dubreil et Marie-Paule Malliavin 319 350 .
Edward Formanek. (1980) The center of the ring of 4 × 4 generic matrices. Journal of Algebra 62:2, pages 304-319.
Crossref
Robert L. Snider. 1979. Ring Theory Waterloo 1978 Proceedings, University of Waterloo, Canada, 12–16 June, 1978. Ring Theory Waterloo 1978 Proceedings, University of Waterloo, Canada, 12–16 June, 1978 279 301 .
David J. Saltman. (1993) The Schur index and Moody's theorem. K-Theory 7:4, pages 309-332.
Crossref

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