Talk:Quantale

“Quantale”?

What here is called “Quantale” is well known as a complete l-semigroup with zero since many decades! (see G. Birkhoff: Lattice Theory. American Mathematical Society, Providence, R.I., 3rd ed. 1973.) --de:RPI — Preceding unsigned comment added by 141.51.184.43 (talk) 16:27, 30 March 2009 (UTC)[reply]

I've noticed there are lots and lots of differing definitions for quantales... This article probably needs some serious editing. For someone with the time/will, I'm including a list of authors that have written on quantales: Borceux, Rosicky, Van den Bossche, Brown, Gurr, Roman, Rumbos, Abramsky, Vickers, Niefield and Rosenthal. This is by no means complete. I just generated it while reading Semirings and their applications by Golan. Rschwieb (talk) 19:59, 29 September 2011 (UTC)[reply]

I could not find how homomorphisms are defined in Birkhoff. For quantales, they only have to preserve joins and multiplication (added to the article), so this might be a difference. 147.251.79.111 (talk) 13:52, 26 September 2012 (UTC)[reply]

Examples

This article does not give any examples for quantales. It should list typical examples that have some value in applications. Andreasabel (talk) 10:29, 28 March 2021 (UTC)[reply]