The Gelfand-Kirillov dimension of rings with Hopf algebra action.

Guédénon, Thomas

Displaying similar documents to “The Gelfand-Kirillov dimension of rings with Hopf algebra action.”

Gelfand-Kirillov dimension in some crossed products.

Guédénon, Thomas (2002)

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Tauvel's height formula in iterated differential operator rings.

Guédénon, Thomas (2004)

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Prime ideals in semirings.

Gupta, Vishnu, Chaudhari, J.N. (2011)

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A “class group” obstruction for the equation $C y^{d} = F (x, z)$

Denis Simon (2008)

Journal de Théorie des Nombres de Bordeaux

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In this paper, we study equations of the form $C y^{d} = F (x, z)$ , where $F \in ℤ [x, z]$ is a binary form, homogeneous of degree $n$ , which is supposed to be primitive and irreducible, and $d$ is any fixed integer. Using classical tools in algebraic number theory, we prove that the existence of a proper solution for this equation implies the existence of an integral ideal of given norm in some order in a number field, and also the existence of a specific relation in the class group involving this ideal. In some cases,...

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Rtveliashvili, E. (1996)

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Zero-dimensional pairs.

Karim, Driss (2003)

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Normalizing extensions of semiprime rings.

Ferrero, Miguel, Steffenon, Rogério Ricardo (2004)

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An approach to Hopf algebras via Frobenius coordinates.

Kadison, Lars, Stolin, A.A. (2001)

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Examples of liftings of Nichols algebras over racks.

Andruskiewitsch, Nicolás, Graña, Matías (2003)

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Wilson’s theorem

Chandan Singh Dalawat (2009)

Journal de Théorie des Nombres de Bordeaux

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We show how K. Hensel could have extended Wilson’s theorem from $Z$ to the ring of integers $𝔬$ in a number field, to find the product of all invertible elements of a finite quotient of $𝔬$ .

On the maximal spectrum of commutative semiprimitive rings

K. Samei (2000)

Colloquium Mathematicae

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The space of maximal ideals is studied on semiprimitive rings and reduced rings, and the relation between topological properties of Max(R) and algebric properties of the ring R are investigated. The socle of semiprimitive rings is characterized homologically, and it is shown that the socle is a direct sum of its localizations with respect to isolated maximal ideals. We observe that the Goldie dimension of a semiprimitive ring R is equal to the Suslin number of Max(R).