List questions from semiring | MathQa

Is there a name for the following property of a finite semiring?

Published on 13 Jan 2025 - 6:58

Prove: If $A,B \in S_Y$ then there exists disjoint sets $C_1, \dots, C_n \in S_Y $ s.t. $A\setminus B = \bigcup \limits_{i=1}^nC_i$.

Published on 13 Jan 2025 - 7:11

What can we say about the subset $\{x \in R \mid x^2 = ax+b\}$ when $R$ is a commutative rig (i.e. a ring without negatives)?

Published on 13 Jan 2025 - 7:13

Under what circumstances exactly is the identity element of a certain function unique?

Published on 13 Jan 2025 - 7:08

Are additive zero and additive identity the same thing?

Published on 13 Jan 2025 - 6:44

Is every idempotent semiring a completely regular?

Published on 13 Jan 2025 - 8:49

What does the kernel of a semiring homomorphism being a null set signify?

Published on 13 Jan 2025 - 7:01

Image of a semiring homomorphism, which is an ideal.

Published on 13 Jan 2025 - 6:38

A semiring isomorphic to a cartesian product of two semirings

Published on 13 Jan 2025 - 6:52

Can we define a mapping from the set of graphs to the set of adjacency matrices?

Published on 13 Jan 2025 - 7:04