Aspects of Affine Algebras |
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additivity principle algebras of Lie associated graded algebra associative algebra BRARY CALIF CALIFOR commutative integral domain Corollary define Definition denote DIEGO SAN direct sum enveloping superalgebra exists a non-zero extension RCS field filtered algebra filtration finite codimension finite composition length finite dimensional Lie free over K₂ full ring Gr(A graded algebra hence Hilbert's Nullstellensatz ideal Q implies integral domain intersection isomorphic Jacobson radical Jacobson ring k-algebra L.W. Small L₁ left R-module left right Lemma Lie algebras Lie superalgebra M₂ Math Mathematics module nilpotent Noetherian almost PI Noetherian ring non-zero element obtain Poincaré poly-(finite/almost normalizing prime ideal primitive Proof Proposition prove RARY regular elements right ideal right Noetherian ring extension ring of quotients ring theory SAN UNIVERSITY satisfies generic flatness satisfies GF/K satisfies the Nullstellensatz semiprime semisimple simple R-module SITY submodule subspace superbracket Theorem two-sided ideal UCSD UNIV vector space Z₂-graded zero-divisors