left identity meaning in Hindi

Examples

1. The axioms may be weakened to assert only the existence of a left identity and left inverses.
2. He also left identity, a legacy.
3. Therefore by the induction axiom " S " ( 0 ) is the multiplicative left identity of all natural numbers.
4. The ministry said the group apparently flew to Turkey, left identity documents there, and were smuggled across the border into Bulgaria.
5. An intuitive description of this fact is that every pair of mutually inverse elements produces a local left identity, and respectively, a local right identity.
6. If a semigroup has both a left identity and a right identity, then it has a two-sided identity ( which is therefore the unique one-sided identity ).
7. The military claimed that the rebels left identity cards, a rubber stamp with the mark of the separatist liberation army, three jackets, a crow bar, and dozens of M-16 automatic rifle ammunition.
8. In the above notations, " I " is the unit element and ?, ? and ? are respectively the associativity, the left identity and the right identity of the monoidal category "'C " '.
9. This simple observation can be generalized using Green's relations : every idempotent " e " in an arbitrary semigroup is a left identity for " R e " and right identity for " L e ".
10. Just like ( S, * ) can have several left identities or several right identities, it is possible for an element to have several left inverses or several right inverses ( but note that their definition above uses a " two-sided " identity e ).