Semiprime ideals of skew polynomial rings.

Voskoglou, M.G.

Displaying similar documents to “Semiprime ideals of skew polynomial rings.”

Prime ideals and strongly prime ideals of skew Laurent polynomial rings.

Hashemi, E. (2008)

International Journal of Mathematics and Mathematical Sciences

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A subspace of $S p e c (A)$ and its connexions with the maximal ring of quotients

Giuliano Artico, Umberto Marconi, Roberto Moresco (1981)

Rendiconti del Seminario Matematico della Università di Padova

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Sufficient conditions for the Jacobson radical of a commutative ring to contain a prime ideal

Henriksen, Melvin (1977)

Portugaliae mathematica

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z⁰-Ideals and some special commutative rings

Karim Samei (2006)

Fundamenta Mathematicae

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In a commutative ring R, an ideal I consisting entirely of zero divisors is called a torsion ideal, and an ideal is called a z⁰-ideal if I is torsion and for each a ∈ I the intersection of all minimal prime ideals containing a is contained in I. We prove that in large classes of rings, say R, the following results hold: every z-ideal is a z⁰-ideal if and only if every element of R is either a zero divisor or a unit, if and only if every maximal ideal in R (in general, every prime z-ideal)...