semiring 中文意思是什麼

semiring 解釋
半環狀
  1. Theorem 1. 3. 3 5 is an a - idempotent semiring, then 5 is a normal idem - potent semiring, if and only if s is a strong semilattice idempotent semiring of rectangular idempotent semirings

    定理j設s是人一冪等半環，則s是正規冪等半環，當且僅當s是矩形冪等半環的強半格冪等半環
  2. Results some equivalent statements are obtained concerning a semiring becoming a distributive lattice

    結果給出了該類半環成為分配格的幾個等價命題。
  3. Aim in order to prove a semiring whose additive reduct is a semilattice and multiplicative reduct is a inverse semigroup to be a distributive lattice

    摘要目的求證加法導出是半格、乘法導出是逆半群的半環成為分配格的充要條件。
  4. Main results are following : theorem 1. 9 let 5 is a - pseudo - strong distributive lattice semiring, 0 is a congruence of the definition in lemma 1. 4

    所得的主要結果如下：定理1 9設為偽強分配格半環，為引理1 4中所定義的s上的同余。
  5. In the second section, we structure a kind of semirings, namely semidirect product of semirings, and prove an isomorphic theorem of semidirect products. in the third section, we give the characterizations of the relations of all kinds of regular semirings and introduce the concept of pseudo - inverse and the necessary and sufficient conditions of pseudo - invertible element. in the fourth section, we define an equivalence relation on the cartersian product of commutative semiring and its multiplicative subset

    第二部分，先構造一類半環，半環半直積，然後證明半直積的同構定理第三部分，刻劃了半環各類正則元之間關系，引入偽逆的定義，給出了可偽逆元素的充要條件第四部分，在交換半環和乘法集的卡氏積上定義等價關系，進而構造了一類交換半環：分式半環
  6. In the second section, we give all the ring congruences on a commutative regular semiring s and show that from the lattice of all full, closed, ideal subsemirings of s to the lattice of all the ring conruences on 5, there is a lattice isomorphism

    首先給出一個交換正則半環上的所有環同余，證明了此半環的所有滿的、閉的、理想子半環所形成的格與此半環的環同余格同構。
  7. Let s be a orthdox semiring, b is regular kernal normal system of s, then there is unique congruence p on s such as the regular kernal normal system of p on ( s, + ) is, and p =. conversely, if p is a congruence on s, then the regular kernal normal system of p on ( s, + ) the regular kernal normal system of

    設s猢正半環； b是s的正則核正規系，則存在s上卜的毗八脯廠在民十）上的正則核正規系為b ，且p p各反之如果屍為s上的觸，則屍在歷， ）上的正則核正規系是口， ， ? ）的正則核正規系且屍p卜
  8. Fuzzy prime ideals and fuzzy prime radicals over semiring

    半環上的模糊素理想和模糊素根
  9. First, according to the definition of strong distributive lattice of semirings, we define the pseudo - strong distributive lattice semiring s and the pseudo - direct product, and we prove that the pseudo - direct product that we just define is a semiring, then we prove that s is the pseudo - sub direct product of d and s / 9

    首先根據半環的強分配格的定義，定義了偽強分配格半環和一個斗格半環r與任一半環t的偽直積，證明了我們所定義的偽直積是一個半環，並且證明了s是d與s的偽次直積。
  10. And we describe the join r v p of a ring congruence r and an arbitrary congruence p on s. similarly, we discribe all the divisible semiring congruences on a distributive semiring. at last, we give the least distributive lattice congruence on a commutative distributive semiring and an idempotent distributi ve semiring

    在第三部分給出一個分配半環上的所有可除半環同余，並且在此半環的滿的、閉的、自共軛的理想子半環形成的集合與此半環上的可除半環同余的集合之間建立了一個一一的、保序映射。
  11. Theorem 1. 2. 5 a semiring s is a normal a - idempotent semiring, if and only if s is a strong right normal idempotent semiring of left zero idempotent semirings

    5半環s是正規a -冪等半環，當且僅當s是左零冪等半環的強右正規冪等半環。定理1
  12. Theorem 2. 2. 4 a semiring s is an additive normal c - idempotent semiring, if and only if s is a pseudo - strong right normal idempotent semiring of left zero semirings

    4s是加法正規c一冪等半環，當且僅當s是左零半環的偽強右正規冪等半環定理2
  13. Theorem 3. 3 s is a " d - idempotent semiring, then s is an additive normal idempotent semiring, if and only if s is a pseudo - strong right normal idempotent semiring of left zero semirings

    3s是d一冪等半環，則s為加法正規冪等半環，當且僅當s是左零半環的偽強右正規冪等半環
  14. And by this we have the structure of the normal idempotent semiring which satisfies the identity ab + b = a + b arises as a strong right normal idempotent semiring of left zero idempotent semirings, and some corollaries

    利用這一結構證明了滿足等式ab + b = a + b的正規冪等半環是左零冪等半環的強右正規冪等半環，及相關推論。
  15. And in the last chapter, we also have the idempotent semiring which satisfies the identity a + ab + a = a + b is an additive normal idempotent semiring, if and only if it is a pseudo - strong right normal idempotent semiring of left zero semirings, and other corollaries

    第三章，證明了滿足等式a + ab + a = a + b的冪等半環是加法正規的，當且僅當它是左零半環的偽強右正規冪等半環，及相關推論。
  16. In the second chapter, we give the definition of the pseudo - strong right normal idem - potent semiring of v ? semirings. and we have the additive normal idempotent semiring which satisfies the identity a + ab = a + b arises as a pseudo - strong right normal idempotent semiring of left zero semirings

    第二章，與第一章平行地構造了v -半環的偽強右正規冪等半環，由這一結構證明了滿足等式a + ab = a + b的加法正規冪等半環是左零半環的偽強右正規冪等半環。
  17. Theorem 1. 2. 9 s is a direct product of a normal a - idempotent semiring and a commutative ring with an identity 1, if and only if s is a strong right normal idempotent semiring of a - left rings

    Gs是正規人一冪等半環和含么交換環的直積，當且僅當s是a一左環的強右正規冪等半環
  18. On a problem related to idempotent semiring

    關于冪等元半環理論中的一個問題
  19. A note for the divisible semiring congruence on eventually regular semiring

    關于擬正則半環上可除半環同余的注記
  20. Moreover we generize a result of howie [ 12 ] to a commutative regular semiring

    並且把howie [ 12 ]的一個結果推廣到?個交換正則半環s上。
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