Identity Morphisms

Some articles on morphisms, identity morphisms, identity:

Category (mathematics) - Examples
... The category Rel consists of all sets, with binary relations as morphisms ... Any class can be viewed as a category whose only morphisms are the identity morphisms ... has the elements of I as objects and only the identity morphisms as morphisms ...
Enriched Category - Definition
... of objects a,b in C, an arrow idaI → C(a,a) in M designating an identity for every object a in C, and an arrow °abcC(b,c)⊗C(a,b) → C(a,c) in M designating a composition for each triple of ... single-point set, etc.), then each C(a,b) is a set whose elements may be thought of as "individual morphisms" of C, while °, now a function, defines how consecutive ... corresponds to one of the two ways of composing three consecutive individual morphisms from a → b → c → d from C(a,b),C(b,c) and C(c,d) ...

Famous quotes containing the word identity:

    I look for the new Teacher that shall follow so far those shining laws that he shall see them come full circle; shall see their rounding complete grace; shall see the world to be the mirror of the soul; shall see the identity of the law of gravitation with purity of the heart; and shall show that the Ought, that Duty, is one thing with Science, with Beauty, and with Joy.
    Ralph Waldo Emerson (1803–1882)