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Subdirectly irreducible algebra : ウィキペディア英語版 | Subdirectly irreducible algebra In the branch of mathematics known as universal algebra (and in its applications), a subdirectly irreducible algebra is an algebra that cannot be factored as a subdirect product of "simpler" algebras. Subdirectly irreducible algebras play a somewhat analogous role in algebra to primes in number theory. ==Definition== A universal algebra ''A'' is said to be subdirectly irreducible when ''A'' has more than one element, and when any subdirect representation of ''A'' includes (as a factor) an algebra isomorphic to ''A'', with the isomorphism being given by the projection map.
抄文引用元・出典: フリー百科事典『 ウィキペディア(Wikipedia)』 ■ウィキペディアで「Subdirectly irreducible algebra」の詳細全文を読む
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