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Nov 1, 2019 at 1:15 history edited gete CC BY-SA 4.0
deleted 5 characters in body
Oct 5, 2019 at 6:15 history edited YCor
edited tags
Nov 5, 2017 at 21:05 comment added Arturo Magidin @gete: Your definition of "monosemiring" is incomplete; it's not a "non empty set" but rather a "semiring $(S,+,\cdot)$ is a monosemiring if $xy=x+y$ f\ro all $x,y\in S$".
Nov 5, 2017 at 10:09 comment added YCor And questions should be inside the text (even if in the title). I edited accordingly
Nov 5, 2017 at 10:08 history edited YCor CC BY-SA 3.0
moved question to text, latexified
Nov 5, 2017 at 7:20 comment added gete Thank you so much for quick response and valauble suggestions
Nov 5, 2017 at 6:37 comment added Arturo Magidin P.S. All posts are questions; you don't need to add a "Q." at the beginning of the title.
Nov 5, 2017 at 6:32 comment added Arturo Magidin A monosemiring require distributivity, so you must have $x+(y+z) = x(y+z) = (xy)+(xz) = x+y+x+z$. That is, for all $x,y,z$, $x+y+z = x+x+y+z$. Not every semigroup satisfies this identity, so not every semigroup can be turned into a monosemiring.
Nov 5, 2017 at 6:25 history asked gete CC BY-SA 3.0