(1) This idempotent ultrafilter enables us to find an appropriate infinite set.

(2) Each subgroup contains exactly one idempotent , namely the identity element of the subgroup.

(3) In this paper , we study nonnegative generalized idempotent matrices in detail.

(4) Idempotent operator algebras acting on a Hilbert space H are defined.

(5) It is obtained that the commutative completely idempotent algebra which has unit element and no zero factor is a extension field on F.

(6) This matrix is idempotent.

(7) The GET method should also be idempotent, meaning that it can be safely repeated.

(8) If the API of a dependent service is idempotent, that means it is safe to retry failed requests.

(9) We first define the algebra of(finite) independent subsets of the ordered monoid M, and prove that the algebra of finite independent subsets of M is an idempotent semiring.

(10) Finally, based on the structure theorem, we obtain some characterizations of subdirectly irreducible, simple and strictly simple conical idempotent residuated lattices.

(11) Each request to an HTTP server resource is meant to be idempotent, which is to say the same request should return the same result at each invocation.

(12) For example, every nonempty finite semigroup is periodic[sentencedict.com], and has a minimal ideal and at least one idempotent.

(13) It follows that every nonempty periodic semigroup has at least one idempotent.

(14) The direct sum decomposition of the addition of a linear transformation under the coprime polynomial was given, and it was used in the proof of some equality about the rank of idempotent matrix.

(15) This method does not need to be either safe or idempotent.

(16) A associative ring R is called a regular ring if every left principle ideal of it is generated by an idempotent.

(17) This model occupies some properties of additive standard synthesis function, namely, monotonic, limited and idempotent.