= Subdirectly irreducible algebra
{wiki=Subdirectly_irreducible_algebra}
A subdirectly irreducible algebra is a concept from universal algebra, a branch of mathematics that studies algebraic structures. Specifically, an algebraic structure (such as a group, ring, or lattice) is called subdirectly irreducible if it cannot be represented as a non-trivial subdirect product of other algebras. \#\#\# Definition An algebra \\( A \\) is said to be subdirectly irreducible if: 1. It is non-trivial, i.
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