Abstract
A semiring (S, +,·) is a nonempty set S, endowed with associative operations of addition and multiplication, such that the multiplicative semigroup (S, ·) distributes over the addition. That is: x(y +z) = xy + xz and (x + y)z = xz + yz for all x, y and z in S. A topological semiring is a semiring, defined on a Hausdorff space, such that both of the operations are jointly continuous.
Publisher
Cambridge University Press (CUP)
Reference10 articles.
1. The an(a) = a Theoŕem for Semirings;Henriksen;Math. Japon.,1958
2. The structure of topological semigroups
3. Notes on Inverse Semigroups;Koch;Rev. Roum. de Math. Pures et Appl.,1964
4. Subdivision rings of a semiring
Cited by
27 articles.
订阅此论文施引文献
订阅此论文施引文献，注册后可以免费订阅5篇论文的施引文献，订阅后可以查看论文全部施引文献
1. On derivations and Lie structure of semirings;Malaya Journal of Matematik;2024-04-01
2. On ℤ-graded Clifford semirings;Asian-European Journal of Mathematics;2024-02
3. Torsion factors of commutative monoid semirings;Semigroup Forum;2023-05-02
4. (α, β) - Derivations on ideals in prime inverse semirings;INTERNATIONAL CONFERENCE OF COMPUTATIONAL METHODS IN SCIENCES AND ENGINEERING ICCMSE 2021;2023
5. On generalized derivations of semirings;Georgian Mathematical Journal;2022-07-22