irreducible caseirreducible characterirreducible componentirreducible continuous geometryirreducible elementirreducible 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 be