منابع مشابه
On Primitive Ideals
We extend two well-known results on primitive ideals in enveloping algebras of semisimple Lie algebras, the Irreducibility theorem and Duflo theorem, to much wider classes of algebras. Our general version of Irreducibility theorem says that if A is a positively filtered associative algebra such that grA is a commutative Poisson algebra with finitely many symplectic leaves, then the associated v...
متن کاملConormal Modules via Primitive Ideals
The main object of this note is to study the conormal module M and the computation of the second symbolic power ḡ of an ideal ḡ in the residue ring O/h of a polynomial ring O over a field of characteristic zero. The torsion part T (M) of M and the torsion free module M/T (M) are expressed by the primitive ideal of g relative to h. Two characterizations for M/T (M) to be free are proved. Some im...
متن کاملPrimitive Ideals in Hopf Algebra Extensions
Let H be a finite-dimensional Hopf algebra. We study the behaviour of primitive and maximal ideals in certain types of ring extensions determined by H . The main focus is on the class of faithfully flat Galois extensions, which includes includes smash and crossed products. It is shown how analogous results can be obtained for the larger class of extensions possessing a total integral, which inc...
متن کاملDimensional Analysis Using Toric Ideals: Primitive Invariants
Classical dimensional analysis in its original form starts by expressing the units for derived quantities, such as force, in terms of power products of basic units [Formula: see text] etc. This suggests the use of toric ideal theory from algebraic geometry. Within this the Graver basis provides a unique primitive basis in a well-defined sense, which typically has more terms than the standard Bu...
متن کاملUsing Galois Ideals for Computing Relative Resolvents
Let k be a perfect field and k̄ an algebraic closure of k. Let f be a separable univariate polynomial of k[X] with degree n, and Ω be an ordered set of the n distinct roots of f in k̄. In Valibouze (1999) the notion of ideal of Ω-relations invariant by a subset L of the symmetric group of degree n is introduced. It generalizes the notion of ideal of relations and the notion of ideal of symmetric ...
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ژورنال
عنوان ژورنال: Proceedings of the American Mathematical Society
سال: 2000
ISSN: 0002-9939,1088-6826
DOI: 10.1090/s0002-9939-00-05597-0