Apraxia
发表于 2025-3-28 15:58:21
Hemirings and Semirings: Definitions and Examples, satisfying . * . = . = . * . for all . ∈ ., then . is called a monoid having identity element .. This element can easily seen to be unique, and is usually denoted by 1.- Note that a semigroup (., *) which is not a monoid can be canonically embedded in a monoid . ∪ {.} where . is some element not in
珐琅
发表于 2025-3-28 22:06:57
Sets and Relations with Values in a Semiring,semiring is additively- idempotent if each of the .. is additively- idempotent . It is not entire if Ω has order greater than 1.
languor
发表于 2025-3-29 01:08:44
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Definitive
发表于 2025-3-29 03:29:15
Some Conditions on Semirings, given of semirings which do or do not satisfy them. We now want to consider consequences of imposing some of these conditions on a semiring. In particular we will first look at the condition of being an additively-idempotent semiring and at the stronger condition of being a simple semiring. Then we
渐强
发表于 2025-3-29 08:46:46
Complemented Elements in Semirings,s, it is worth looking at this notion in the more general context of semirings. As it turns out, such elements play an important part in the semiring representation of the semantics of computer programs, as emphasized in the work of Manes and his collaborators.
该得
发表于 2025-3-29 13:38:06
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Clumsy
发表于 2025-3-29 18:01:27
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织布机
发表于 2025-3-29 21:46:34
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生命
发表于 2025-3-30 01:00:46
Euclidean Semirings, all . ∈ ., it is clearly true that . ∈ .(.) if and only if (math). Note that if . is a simple semiring and if . ∈ . then there exists an element r of . such that . and so, by Proposition 4.3, we have .. Thus we see that if . is an element of a simple semiring . then . ≠ Ø implies that . ∈ ..
Paleontology
发表于 2025-3-30 07:26:11
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