AUTOMORPHISM

Etymology

Noun

automorphism (plural automorphisms)

(algebra) An isomorphism of a mathematical object or system of objects onto itself.

The ascription to others of one's own characteristics.

Usage notes

• (algebra)

An automorphism is characterised by the structure it preserves, which is usually specified as an object type. Thus one may speak of a group automorphism or ring automorphism.

The identity mapping is sometimes called the trivial automorphism; any other automorphism may then be called a nontrivial automorphism.

Synonyms

• (isomorphism of a mathematical object or system of objects onto itself): self-map

• (ascription to others of one's own characteristics): projection

Hypernyms

• (algebra): isomorphism, endomorphism

Hyponyms

• (algebra): inner automorphism, outer automorphism, Möbius transformation

Source: Wiktionary


Au`to*mor"phism, n.

Definition: Automorphic characterization. H. Spenser.

Source: Webster’s Unabridged Dictionary 1913 Edition



RESET




Word of the Day

10 January 2025

INTERSPERSION

(noun) the act of combining one thing at intervals among other things; “the interspersion of illustrations in the text”


coffee icon

Coffee Trivia

Some 16th-century Italian clergymen tried to ban coffee because they believed it to be “satanic.” However, Pope Clement VII loved coffee so much that he lifted the ban and had coffee baptized in 1600.

coffee icon