irreducible element of a ringirreducible equationirreducible factorirreducible formirreducible idealirreducible k moduleirreducible markov chainirreducible moduleirreducible polynomialirreducible r moduleirreducible radicalirreducible representationirreducible riemannian manifoldirreducible ringirreducible setirreducible symmetric hermitian spaceirreducible tensorirreducible varietyirredundantirredundant decompositionirredundant intersectionirreflexiveirreflexive relationirregularirregular matrixirregular permutationirregular point for a setirregular polygonirregular singular pointirregular surfaceirremovableirremovable discontinuityirrespectiveirreversible embrittlementirreversible processirrevocable documentary creditirrotationalirrotational fieldirrotational flowirrotational vector fieldis allowedis an element ofis calledis concerned with gettingis considered to beis contained inis coupledis defined asis determinedis due to