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Vietnam Journal of Mathematics 35:2(2007) 129-134 |
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 $\text{Spec}(R)$. 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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Vietnam Academy of Science and Technology
& Vietnamese Mathematical Society © Copyright 2009 Vietnam Journal of Mathematics. All rights reserved. |