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Spatial quantales. (English) Zbl 0999.06015
The paper gives an appropriate notion of a prime element of a quantale and characterizes spatial quantales as those quantales having enough primes. This result solves a problem stated by J. W. Pelletier and the reviewer [“Simple involutive quantales”, J. Algebra 195, 367-386 (1997; Zbl 0894.06005)].

MSC:
06F07 Quantales
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