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Vietnam Journal of Mathematics 35:2(2007)
129-134
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On Some Topological Properties of Dense Subsets of
Spec(R)
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Mehdi Alaeiyan and
Reza Safakish
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Abstract. Let R be a reduced ring and Max(R)
\subseteq S be dense in Spec(R). Then the extremely
disconnectedness and some other topological properties of S are characterized in term of
algebraic properties of R.
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2000 Mathematics Subject Classification: 13J20.
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Keywords: Zariski topology; extremely disconnected;
annihilator; Baer ring; Hausdorff space; reduced ring.
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