Definitionen
1.AdjectiveUnified; sticking together; making up a whole.
2.AdjectiveOrderly, logical and consistent.
3.AdjectiveAesthetically ordered.
4.AdjectiveHaving a natural or due agreement of parts; harmonious: a coherent design.
5.AdjectiveOf waves having the same direction, wavelength and phase, as light in a laser.
6.AdjectiveAttaching or pressing against an organ of the same nature.
7.AdjectiveBelonging 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
8.AdjectiveIn a technical sense, determined by the (topology of) the subsets. Formally, Such that
T
{\displaystyle {\mathcal {T}}}
is the finest topology on
T
{\displaystyle T}
for which the inclusion maps
ι
a
:
C
a
→
T
{\displaystyle \iota _{a}:C_{a}\to T}
are continuous, where each
C
a
{\displaystyle C_{a}}
is considered with its subspace topology.
9.AdjectiveFinitely generated and such that all finitely generated submodules are finitely presented.
10.AdjectiveSuch that every finitely generated (left) ideal is finitely presented.