Some results for one class of discontinuous operators with fixed points.
Morales, R., Rojas, E. (2007)
Acta Mathematica Universitatis Comenianae. New Series
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Some results for one class of discontinuous operators with fixed points.
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An ideal I in a commutative ring R is called a z°-ideal if I consists of zero divisors and for each a ∈ I the intersection of all minimal prime ideals containing a is contained in I. We characterize topological spaces X for which z-ideals and z°-ideals coincide in , or equivalently, the sum of any two ideals consisting entirely of zero divisors consists entirely of zero divisors. Basically disconnected spaces, extremally disconnected and P-spaces are characterized in terms of z°-ideals....
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