Prove that a semiring with a common identity with respect to both binary operations defined on it is a...
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A semiring $R$ with an identity $x.y=x+y~forall x,yin R$ is said to be monosemiring. It looks like any semiring with the same neutral element with respect to both aditive and multiplicative operations are always monosemiring. How to prove this? Otherwise, i need a counter example of non-monosemiring with a common neutral element with respect to both the operations defined on it.
semiring
asked Nov 18 at 16:57
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A semiring $R$ with an identity $x.y=x+y~forall x,yin R$ is said to be monosemiring. It looks like any semiring with the same neutral element with respect to both aditive and multiplicative operations are always monosemiring. How to prove this? Otherwise, i need a counter example of non-monosemiring with a common neutral element with respect to both the operations defined on it.
semiring
asked Nov 18 at 16:57
gete
627
add a comment |
up vote
0
down vote
favorite
up vote
0
down vote
favorite
A semiring $R$ with an identity $x.y=x+y~forall x,yin R$ is said to be monosemiring. It looks like any semiring with the same neutral element with respect to both aditive and multiplicative operations are always monosemiring. How to prove this? Otherwise, i need a counter example of non-monosemiring with a common neutral element with respect to both the operations defined on it.
semiring
asked Nov 18 at 16:57
gete
627
A semiring $R$ with an identity $x.y=x+y~forall x,yin R$ is said to be monosemiring. It looks like any semiring with the same neutral element with respect to both aditive and multiplicative operations are always monosemiring. How to prove this? Otherwise, i need a counter example of non-monosemiring with a common neutral element with respect to both the operations defined on it.
semiring
semiring
asked Nov 18 at 16:57
gete
627
asked Nov 18 at 16:57
gete
627
asked Nov 18 at 16:57
gete
627
asked Nov 18 at 16:57
gete
627
asked Nov 18 at 16:57
gete
627
627
add a comment |
add a comment |
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