subdirectly irreducible

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Irreducible (mathematics) — In mathematics, the term irreducible is used in several ways. * In abstract algebra, irreducible can be an abbreviation for irreducible element; for example an irreducible polynomial. * In representation theory, an irreducible representation is a … Wikipedia
Subdirect irreducible — In algebra, a subdirect irreducible is an algebra that cannot be factored as a subdirect product of simpler algebras. Subdirect irreducibles play a somewhat analogous role in algebra to primes in number theory. TOC =Definition=In algebra, a… … Wikipedia
Interior algebra — In abstract algebra, an interior algebra is a certain type of algebraic structure that encodes the idea of the topological interior of a set. Interior algebras are to topology and the modal logic S4 what Boolean algebras are to set theory and… … Wikipedia
Subdirect product — In mathematics, especially in the areas of abstract algebra known as universal algebra, group theory, ring theory, and module theory, a subdirect product is a subalgebra of a direct product that depends fully on all its factors without however… … Wikipedia

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