Timeline for What is the difference between a monosemiring and a semigroup?
Current License: CC BY-SA 4.0
9 events
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Nov 1, 2019 at 1:15 | history | edited | gete | CC BY-SA 4.0 |
deleted 5 characters in body
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Oct 5, 2019 at 6:15 | history | edited | YCor |
edited tags
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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
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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 |