### Some articles on *morphisms, identity morphisms, identity*:

Category (mathematics) - Examples

... The category Rel consists of all sets, with binary relations as

... 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

... 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)

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