Idempotent semirings with identity and zero

Abbreviation: ISRng0101

Definition

An \emph{idempotent semiring with identity and zero} is a semirings with identity and zero S=S,,0,,1S=S,,0,,1 such that is idempotent: xx=xxx=x

Morphisms

Let SS and TT be idempotent semirings with identity and zero. A morphism from SS to TT is a function h:STh:ST that is a homomorphism:

h(xy)=h(x)h(y)h(xy)=h(x)h(y), h(xy)=h(x)h(y)h(xy)=h(x)h(y), h(0)=0h(0)=0, h(1)=1h(1)=1

Examples

Example 1:

Basic results

Properties

Finite members

f(1)=1f(2)=1f(3)=3f(4)=20f(5)=149f(6)=1488f(7)=18554

Subclasses

Superclasses

References


QR Code
QR Code idempotent_semirings_with_identity_and_zero (generated for current page)