The local finite basis property and local representability of varieties of associative rings

A. Ya. Belov

Izvestiya. Mathematics , Tome 74 (2010) no. 1, pp. 1-126.

Résumé

We prove the local representability and local finite basis property of varieties of associative rings and algebras over an arbitrary associative-commutative Noetherian ring $\Phi$.

Détail

Keywords: $\mathrm{PI}$-algebra, representable algebra, universal algebra, polynomial identity, Hilbert series, Specht problem, non-commutative algebraic geometry, representation theory, quiver.

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