Sentence examples for be a semigroup and from inspiring English sources

Let, be a semigroup and satisfying (1.1).

Let ( X, ∗ ) be a semigroup and let a, b ∈ X.

Let ( X, ∗ ) be a semigroup and let x ∈ X.

Let ( S ; ⋄ ) and ( S ˜ ; ⋄ ) be a semigroup and a group with semigroup operation ⋄, respectively.

Let G be a semigroup and let α > 0 be given.

Let be a semigroup and be the field of complex numbers.

When R is a semigroup and Y = R, we say that R is a metric semigroup.

If is a semigroup and is left translation invariant, a submean on is left subinvariant if for each and.

Assume that is a semigroup and is the space of all bounded real-valued functions defined on with supremum norm.

Let be a compact right topological semigroup, that is, a semigroup and a compact Hausdorff topological space such that for each the mapping from into is continuous.

Thus (U/ Gamma = widetilde{mathrm {H}} (W^s)) is a semigroup, and the situation at hand is summarized by the following statement.