Tropical algebra and tropical semiring
0
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I want to know what is the difference between Tropical algebra and min-plus algebra and the difference between Tropical semiring and semiring . I need Reference explains these differences and tropical algebra please.
tropical-geometry
asked Jan 25 at 16:03
MehremaMehrema
598
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add a comment |
0
$begingroup$
I want to know what is the difference between Tropical algebra and min-plus algebra and the difference between Tropical semiring and semiring . I need Reference explains these differences and tropical algebra please.
tropical-geometry
asked Jan 25 at 16:03
MehremaMehrema
598
$endgroup$
$begingroup$
Tropical algebra is commonly encountered as either $(min, +)$ or $(max, +)$ algebra (the two are isomorphic). The $(min, +)$ semiring is a specific semiring where $min$ is acting as binary "addition" and $+$ is acting as "multiplication". For a reference you can check Butkovic's book or this expository article by Speyer and Sturmfels.
$endgroup$
– VHarisop
Jan 25 at 16:20
add a comment |
0
0
0
$begingroup$
I want to know what is the difference between Tropical algebra and min-plus algebra and the difference between Tropical semiring and semiring . I need Reference explains these differences and tropical algebra please.
tropical-geometry
asked Jan 25 at 16:03
MehremaMehrema
598
$endgroup$
I want to know what is the difference between Tropical algebra and min-plus algebra and the difference between Tropical semiring and semiring . I need Reference explains these differences and tropical algebra please.
tropical-geometry
tropical-geometry
asked Jan 25 at 16:03
MehremaMehrema
598
asked Jan 25 at 16:03
MehremaMehrema
598
asked Jan 25 at 16:03
MehremaMehrema
598
asked Jan 25 at 16:03
MehremaMehrema
598
asked Jan 25 at 16:03
MehremaMehrema
598
598
$begingroup$
Tropical algebra is commonly encountered as either $(min, +)$ or $(max, +)$ algebra (the two are isomorphic). The $(min, +)$ semiring is a specific semiring where $min$ is acting as binary "addition" and $+$ is acting as "multiplication". For a reference you can check Butkovic's book or this expository article by Speyer and Sturmfels.
$endgroup$
– VHarisop
Jan 25 at 16:20
add a comment |
$begingroup$
Tropical algebra is commonly encountered as either $(min, +)$ or $(max, +)$ algebra (the two are isomorphic). The $(min, +)$ semiring is a specific semiring where $min$ is acting as binary "addition" and $+$ is acting as "multiplication". For a reference you can check Butkovic's book or this expository article by Speyer and Sturmfels.
$endgroup$
– VHarisop
Jan 25 at 16:20
$begingroup$
Tropical algebra is commonly encountered as either $(min, +)$ or $(max, +)$ algebra (the two are isomorphic). The $(min, +)$ semiring is a specific semiring where $min$ is acting as binary "addition" and $+$ is acting as "multiplication". For a reference you can check Butkovic's book or this expository article by Speyer and Sturmfels.
$endgroup$
– VHarisop
Jan 25 at 16:20
$begingroup$
Tropical algebra is commonly encountered as either $(min, +)$ or $(max, +)$ algebra (the two are isomorphic). The $(min, +)$ semiring is a specific semiring where $min$ is acting as binary "addition" and $+$ is acting as "multiplication". For a reference you can check Butkovic's book or this expository article by Speyer and Sturmfels.
$endgroup$
– VHarisop
Jan 25 at 16:20
add a comment |
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$begingroup$
Tropical algebra is commonly encountered as either $(min, +)$ or $(max, +)$ algebra (the two are isomorphic). The $(min, +)$ semiring is a specific semiring where $min$ is acting as binary "addition" and $+$ is acting as "multiplication". For a reference you can check Butkovic's book or this expository article by Speyer and Sturmfels.
$endgroup$
– VHarisop
Jan 25 at 16:20