Tauvel's height formula in iterated differential operator rings.

Guédénon, Thomas

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Gelfand-Kirillov dimension in some crossed products.

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

Denis Simon (2008)

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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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Wilson’s theorem

Chandan Singh Dalawat (2009)

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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 $𝔬$ .

Ore extensions over near pseudo-valuation rings.

Bhat, V.K. (2009)

Acta Mathematica Academiae Paedagogicae Nyí regyháziensis. New Series [electronic only]

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