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bn:03391287n
Noun Concept
Categories: Ring theory, Algebras
EN
simple algebra  Simple universal algebra
EN
In universal algebra, an abstract algebra A is called simple if and only if it has no nontrivial congruence relations, or equivalently, if every homomorphism with domain A is either injective or constant. Wikipedia
English:
universal algebra
Definitions
Relations
Sources
EN
In universal algebra, an abstract algebra A is called simple if and only if it has no nontrivial congruence relations, or equivalently, if every homomorphism with domain A is either injective or constant. Wikipedia
An algebra that contains no nontrivial proper (two-sided) ideals and whose multiplication operation is not zero (i.e., there exist a and b such that ab ≠ 0). Wiktionary
Algebra that contains no nontrivial proper ideals and whose multiplication operation is not zero. Wiktionary (translation)
IS A
algebra over a ring
HAS KIND
central simple algebra
STUDIED BY
category theory
Wikipedia
EN
simple algebra (universal algebra)
Wikidata
EN
simple algebra
Wiktionary
EN
simple algebra
Wikipedia Redirections
EN
Simple universal algebra

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