Category:Transplants
Jump to navigation
Jump to search
This category contains results about Transplants in the context of Abstract Algebra.
Let $\struct {S, \circ}$ be an algebraic structure.
Let $f: S \to T$ be a bijection.
Let $\oplus$ be the one and only one operation such that $f: \struct {S, \circ} \to \struct {T, \oplus}$ is an isomorphism.
The operation $\oplus$ is called the transplant of $\circ$ under $f$.
Pages in category "Transplants"
The following 7 pages are in this category, out of 7 total.
T
- Transplant (Abstract Algebra)/Examples
- Transplant (Abstract Algebra)/Examples/Addition on Positive Reals under Log Base 10
- Transplant (Abstract Algebra)/Examples/Addition on Positive Reals under Squaring
- Transplant (Abstract Algebra)/Examples/Multiplication on Integers under Doubling
- Transplant (Abstract Algebra)/Examples/Multiplication on Reals under 1-x
- Transplant (Abstract Algebra)/Examples/Multiplication on Reals under Tenth Power
- Transplanting Theorem