Embedding maps on commutative quantales
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We prove that commutative quantales can be embedded in the algebra structures on Alexandrov topologies. Moreover, commutative frames can be embedded in the frame structures on Alexandrov topologies. From these results, every commutative quantales and frames are subalgebras of algebraic structures on Alexandrov topologies. We study their properties and give their examples.
Abstract
We prove that commutative quantales can be embedded in the algebra structures on Alexandrov topologies. Moreover, commutative frames can be embedded in the frame structures on Alexandrov topologies. From these results, every commutative quantales and frames are subalgebras of algebraic structures on Alexandrov topologies. We study their properties and give their examples.
참고문헌 (9)
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