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Simplicity and Spatiality of Involutive Quantales

  • Oh, Il-Soo
    • Proceedings of the Korea Database Society Conference
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    • 2000.11a
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    • pp.119-123
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    • 2000

  • In this note, we study recent results concerning simplicity and spatiality of involutive quantales from the algebraic point of view. When S is a sup-lattice (with a duality), Q(S)$\times$Q( $S^{op}$ ) (Q(S)) is an involutive quantale. Using this, some characterizations of simplicity and spatiality of involutive quantales are investigated.

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