endomorphism sentence in Hindi

Examples

1. A ring homomorphism between the same ring is called an endomorphism and an isomorphism between the same ring an automorphism.
2. ;"'endomorphism ring "': A ring formed by the endomorphisms of an algebraic structure.
3. In the case when the endomorphism ring, where each endomorphism arises as left multiplication by a fixed ring element.
4. In the case when the endomorphism ring, where each endomorphism arises as left multiplication by a fixed ring element.
5. The usual definition of the characteristic polynomial of an endomorphism A of a finite dimensional vector space uses the determinant.
6. As a more illuminating example, the classification of groupoids with one endomorphism does not reduce to purely group theoretic considerations.
7. In other words, there is a ring homomorphism from the field into the endomorphism ring of the group of vectors.
8. Every element of defines the adjoint endomorphism ( also written as ) of with the help of the Lie bracket, as
9. Suppose that the field has an endomorphism whose square is the Frobenius endomorphism : " ? " } }.
10. Suppose that the field has an endomorphism whose square is the Frobenius endomorphism : " ? " } }.