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On the Topologies Induced by a Cone by Ghasemi, Mehdi is a scholarly article available to read on EtoBox.

What is On the Topologies Induced by a Cone about?

Let $A$ be a commutative and unital $\mathbb{R}$-algebra, and $M$ be an Archimedean quadratic module of $A$. We define a submultiplicative seminorm $\|\cdot\|_M$ on $A$, associated with $M$. We show that the closure of $M$ with respect to $\|\cdot\|_M$-topology is equal to the closure of $M$ with respect to the finest locally convex topology on $A$. We also compute the closure of any cone in $\|\cdot\|_M$-topology. Then we omit the Archimedean condition and show that there still exists a lmc topology associated to $M$, pursuing the same properties.

Author

Ghasemi, Mehdi

Published

2014

Language

EN