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Communications in Algebra Volume 32, 2004 - Issue 7
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Original Articles

The Algebra of Invariants of 3 × 3 Matrices Over a Field of Arbitrary Characteristic

A. A. Lopatin Department of Mathematics, Omsk State University, Omsk, Russia; Chair of Algebra, Department of Mathematics, Omsk State University, 55A Prospect Mira, Omsk, 644077, RussiaCorrespondence[email protected]
Pages 2863-2883 | Received 01 Jan 2003, Published online: 18 Aug 2006

Citations (11)

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Read on this site (5)

Artem Lopatin. (2018) Minimal system of generators for O(4)-invariants of two skew-symmetric matrices. Linear and Multilinear Algebra 66:2, pages 347-356.
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A.A. Lopatin. (2011) Orthogonal invariants of skew-symmetric matrices. Linear and Multilinear Algebra 59:8, pages 851-862.
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A.A. Lopatin. (2011) On minimal generating systems for matrix O(3)-invariants. Linear and Multilinear Algebra 59:1, pages 87-99.
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A. A. Lopatin. (2010) Indecomposable Invariants of Quivers for Dimension (2,…,2) and Maximal Paths. Communications in Algebra 38:10, pages 3539-3555.
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A. A. Lopatin. (2005) Relatively Free Algebras with the Identity x 3 = 0 . Communications in Algebra 33:10, pages 3583-3605.
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Articles from other publishers (6)

Artem Lopatin. (2020) Indecomposable orthogonal invariants of several matrices over a field of positive characteristic. International Journal of Algebra and Computation 31:01, pages 161-171.
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Felipe Barbosa Cavalcante & Artem Lopatin. (2020) Separating invariants of three nilpotent 3 × 3 matrices. Linear Algebra and its Applications 607, pages 9-28.
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ARTEM A. LOPATIN & IVAN P. SHESTAKOV. (2014) ASSOCIATIVE NIL-ALGEBRAS OVER FINITE FIELDS. International Journal of Algebra and Computation 23:08, pages 1881-1894.
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Artem A. Lopatin. (2012) On the nilpotency degree of the algebra with identity . Journal of Algebra 371, pages 350-366.
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A. A. Lopatin. (2011) Relations Between O(n)-Invariants of Several Matrices. Algebras and Representation Theory 15:5, pages 855-882.
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Sean Lawton. (2008) Minimal affine coordinates for character varieties of free groups . Journal of Algebra 320:10, pages 3773-3810.
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