Higher relative primitive ideals
نویسندگان
چکیده
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...
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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...
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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...
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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