algebraic structure in a sentence

Examples

1. A topological group is a mathematical object with both an algebraic structure and a topological structure.
2. This proof does not work for non-algebraic structures.
3. Important other algebraic structures such as rings arise when requiring only part of the above axioms.
4. The idea of describing algebraic structures with finite-automata can be generalized from groups to other structures.
5. A forgetful functor between categories of algebraic structures " forgets " a part of a structure.
6. A surjective homomorphism is always right cancelable, but the converse is not always true for algebraic structures.
7. Formal definition through primitive operations and axioms were proposed for many basic algebraic structures, such as fields.
8. But over the years he became known for his work in applying algebraic structures to real-life situations.
9. Early results include ordered algebraic structures.
10. Suppose A is an algebraic structure.