Near-rings generated by -modules.
Clay, James R., Kautschitsch, Hermann (1993)
Mathematica Pannonica
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Clay, James R., Kautschitsch, Hermann (1993)
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Voskoglou, M.G. (1990)
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Ehrlich, Gertrude (1983-1984)
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L. Gillman (1958)
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C. Kohls (1958)
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Karim Samei (2006)
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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)...
Joachim Reineke (1977)
Fundamenta Mathematicae
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Dobbs, David E. (2006)
International Journal of Mathematics and Mathematical Sciences
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International Journal of Mathematics and Mathematical Sciences
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C. Kohls (1958)
Fundamenta Mathematicae
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