The concept and the universal property of fractional semiring are given.
给出了分式半环的概念和泛性质。
The semiring congruence on a class of generalized regular semiring S was studied.
研究了一类广义正则半环S上的半环同余。
In this paper, we will study the tensor product of matrices over a Chain semiring, and.
本文研究链半环上矩阵的张量积，给出了成立的充要条件并指出了它的一些应用。
Aim To study a very important class of idempotent semiring, so-called multiplicative band semirings.
目的研究一类重要的幂等元半环，即乘法带半环。
Results Some equivalent statements are obtained concerning a semiring becoming a distributive lattice.
结果给出了该类半环成为分配格的几个等价命题。
In this paper, the concepts of star element, star ideals and star congruences of a semiring are introduced.
本文引入了半环的星元素、星理想、星同余等概念，得到了半环的星同余的一些重要性质。
Submaximal ideal and subminimal ideal of semiring; 2. In this paper, the concept of subminimal ideal of semiring is introduced.
提出了半环的次极小理想的概念，讨论了半环的次极小理想的基本性质，并得到了一些相关的结论。
In this paper, the concept of submaximal ideal of semiring is introduced, several elementary properties of submaximal ideal are discussed, and some new conclusions are obtained.
提出了半环的次极大理想的概念，讨论了半环的次极大理想的基本性质，并得到了一些相关的重要结论。
This paper gives an interesting property of the lattice of order ideals of an ordered semiring and the relationship between order ideals and semiring ideals of an ordered semiring.
该文给出了一个序半环的序理想格的重要性质和一个序半环的序理想与半理想之间的关系。
This paper gives an interesting property of the lattice of order ideals of an ordered semiring and the relationship between order ideals and semiring ideals of an ordered semiring.
该文给出了一个序半环的序理想格的重要性质和一个序半环的序理想与半理想之间的关系。
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