Menu
Home
People
Places
Arts
History
Plants & Animals
Science
Life & Culture
Technology
Reference.org
Subdirectly irreducible algebra
open-in-new
<p>In the branch of <a href="/facts/Mathematics/pxTouaz4">mathematics</a> known as <a href="/facts/Universal_algebra/uMJAL6ER">universal algebra</a> (and in its applications), a subdirectly irreducible algebra is an <a href="/facts/Universal_algebra/uMJAL6ER">algebra</a> that cannot be factored as a <a href="/facts/Subdirect_product/YIPd5FAB">subdirect product</a> of "simpler" algebras. Subdirectly irreducible algebras play a somewhat analogous role in algebra to <a href="/facts/Prime_number/L20FLkgn">primes</a> in <a href="/facts/Number_theory/zhoa7zrc">number theory</a>. </p>