semiring called the trivial semiring. This triviality can be characterized via 0 = 1 {\displaystyle 0=1} and so when speaking of nontrivial semirings...
52 KB (8,034 words) - 00:46, 10 September 2024
In idempotent analysis, the tropical semiring is a semiring of extended real numbers with the operations of minimum (or maximum) and addition replacing...
5 KB (726 words) - 13:21, 22 May 2024
In mathematics, in the field of tropical analysis, the log semiring is the semiring structure on the logarithmic scale, obtained by considering the extended...
6 KB (1,025 words) - 22:15, 28 March 2023
Matrix ring (redirect from Matrix semiring)
only a semiring for Mn(R) to be defined. In this case, Mn(R) is a semiring, called the matrix semiring. Similarly, if R is a commutative semiring, then...
13 KB (1,812 words) - 00:20, 24 September 2024
Module (mathematics) (redirect from Module over a semiring)
modules are still possible. In particular, for any semiring S, the matrices over S form a semiring over which the tuples of elements from S are a module...
22 KB (2,967 words) - 22:27, 6 October 2024
mathematics, a near-semiring, also called a seminearring, is an algebraic structure more general than a near-ring or a semiring. Near-semirings arise naturally...
3 KB (392 words) - 11:18, 31 January 2024
Monus (redirect from Naturally ordered semiring)
"Example of a naturally ordered semiring which is not an m-semiring". Mathematics Stack Exchange. Retrieved 2016-10-14. Semirings for breakfast, slide 17 Vereschchagin...
8 KB (1,003 words) - 18:14, 17 October 2023
Quasiregular element (redirect from Quasi-regular semiring)
generally, all complete semirings are quasiregular. The term closed semiring is actually used by some authors to mean complete semiring rather than just quasiregular...
12 KB (1,658 words) - 23:04, 28 January 2024
on the tropical semiring. This is defined in two ways, depending on max or min convention. The min tropical semiring is the semiring ( R ∪ { + ∞ } , ⊕...
26 KB (3,485 words) - 03:31, 1 September 2024
{\displaystyle \mathbb {R} _{\geq 0}} has a semiring structure (0 being the additive identity), known as the probability semiring; taking logarithms (with a choice...
9 KB (1,428 words) - 22:37, 8 July 2024