coherent

1. (physics) Of waves having the same direction, wavelength and phase, as light in a laser.

2. (botany) Attaching or pressing against an organ of the same nature.

3. (mathematics, sheaf theory, of a sheaf) Belonging to a specific class of sheaves having particularly manageable properties closely linked to the geometrical properties of the underlying space. See Coherent sheaf on Wikipedia.Wikipedia

4. (topology, of a topology 𝒯 on a set T with respect to a family C_a of subsets of T) In a technical sense, determined by the (topology of) the subsets. Formally, Such that 𝒯 is the finest topology on T for which the inclusion maps ιₐ:C_a→T are continuous, where each C_a is considered with its subspace topology.

5. (algebra, of a module) Finitely generated and such that all finitely generated submodules are finitely presented.

6. (algebra, of a ring) Such that every finitely generated (left) ideal is finitely presented.