1000 Index inverse, group element, 17 invertible ideal, 929 invertible matrix, 738 irreducible character, 568 element, 107 module (see simple module), 407 representation, 559, 565 variety, 358 irredundant, 364 union, 360 Isaacs, I. M., 329 isolated primes, 366 isometry, 694 isomorphic commutative rings, 96 groups, 38 modules, 399 stably, 865 isomorphism R-isomorphism, 399 category, 421 complexes, 788 groups, 38 modules, 399 rings, 96 vector spaces, 145 Ivanov, S. V., 292 Jacobi identity groups, 263 Lie algebra, 745 Jacobi, C. G. J., 263 Jacobson radical, 534 Jacobson ring, 912 Jacobson semisimple, 534 Jacobson, N., 746 Janusz, G. J., 211, 554 Jategaonkar, A. V., 949 onnson, B., 879 Jordan canonical form, 666 Jordan, C., 243, 255, 267 Jordan, P., 748 Jordan–H¨ older category, 867 Jordan–H¨ older Theorem Grothendieck group, 867 groups, 255 modules, 526 juxtaposition, 273 k-algebra, 482 k-linear combination, 136 k-map, 329 Kaplansky, I., 416, 714, 865, 887, 960, 981 kernel character, 577 group homomorphism, 40 Lie homomorphism, 747 linear transformation, 146 module homomorphism, 405 ring homomorphism, 98, 395 Killing, W., 743, 748 Kronecker delta, 82 Kronecker product, 485 Kronecker Theorem, 164 Kronecker, L., 243 Krull dimension, 962 Krull Theorem, 910 Krull, W., 320, 523, 963 Krull–Schmidt Theorem, 261 Kulikov, L. Yu., 653 Kummer, E., 899 Kurosh, A. G., 424, 879 Lady, E. L., 881 Lagrange Theorem, 35, 393 Lagrange, J.-L., 3, 34 Lam´ e, G., 899 Lambek, J., 496 Landau, E., 28, 74 Laplace expansion, 736 Laplace, P.-S., 736 Lasker, E., 363 Latin square, 45, 926 lattice, 200 Laurent polynomials, 415, 897 Laurent, P. A., 415 law of inertia, 692 law of substitution, 17 laws of exponents, 22 Lazard, M., 512 leading coefficient, 91 least common multiple, 113 left derived functors, 800 left exact functor, 443 left quasi-regular, 536 length composition series, 253 cycle, 6 module, 526 normal series, 186 series, 526 word, 272 Levi, F., 285 Levitzki, J., 544, 714 lexicographic order, 371 Lichtenbaum, S., 871 Lie algebra, 745 Lie’s Theorem, 748 Lie, M. S., 743 lifting, 453, 758 limit (see inverse limit), 500
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