## The ring of invariants of three $$(3\times 3)$$-matrices over a field of prime characteristic.(Russian, English)Zbl 1065.16020

Sib. Mat. Zh. 45, No. 3, 624-633 (2004); translation in Sib. Math. J. 45, No. 3, 513-521 (2004).
Let $$R_{3,3}$$ be the algebra of invariants of three $$(3\times 3)$$-matrices. The author finds a minimal set of generators and a homogeneous system of parameters of $$R_{3,3}$$.

### MSC:

 16R30 Trace rings and invariant theory (associative rings and algebras) 16W22 Actions of groups and semigroups; invariant theory (associative rings and algebras) 15A72 Vector and tensor algebra, theory of invariants 13A50 Actions of groups on commutative rings; invariant theory
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