Prime ideals in semirings.

Gupta, Vishnu; Chaudhari, J.N.

Displaying similar documents to “Prime ideals in semirings.”

Tauvel's height formula in iterated differential operator rings.

Guédénon, Thomas (2004)

Beiträge zur Algebra und Geometrie

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Normalizing extensions of semiprime rings.

Ferrero, Miguel, Steffenon, Rogério Ricardo (2004)

Beiträge zur Algebra und Geometrie

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Some cancellation ideal rings.

Chaopraknoi, Sureeporn, Savettaseranee, Knograt, Lertwichitsilp, Patcharee (2005)

General Mathematics

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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,...

The effect of quadratic transformations on degree functions.

Debremaeker, R., van Lierde, V. (2006)

Beiträge zur Algebra und Geometrie

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Ideal theory in the ternary semiring $ℤ_{0}^{-}$ .

Kar, S. (2011)

Bulletin of the Malaysian Mathematical Sciences Society. Second Series

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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).

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 $𝔬$ .

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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Two-generated ideals of linear type.

Kulosman, H. (2009)

Acta Mathematica Universitatis Comenianae. New Series

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