Index 1001 linear fractional transformation, 331 functional, 448 polynomial, 93 representation, 565 transformation, 145 nonsingular, 145 linear combination module, 405 vector space, 136 linearly dependent list, 138 linearly independent infinite set, 321 linearly independent list, 138 list, 136 increasing p n, 719 linearly dependent, 138 linearly independent, 138 local ring, 302 regular, 973 localization map, 882, 888 module, 888 ring, 882 locally isomorphic, 876 long exact sequence, 791 Lo´ s, J., 431 Lubkin, S., 624 Luigi Ferrari, 3 uroth, J., 332 uroth’s Theorem, 332 Lying Over, 904 Lyndon, R. C., 858 Lyndon–Hochschild–Serre Theorem, 858 Mac Lane, S., 418, 437, 707 Mann, A., 70 mapping problem, universal, 425 Maschke’s Theorem, 544 Maschke, H., 544 Matlis, E., 950 matrix elementary, 676 generalized, 546 linear transformation, 149 nilpotent, 670 nonsingular, 20 permutation, 564 scalar, 153 strictly triangular, 155 unitriangular, 248 maximal element partially ordered set, 317 ideal, 298 independent list, 143 normal subgroup, 74 maximum condition, 312 Mayer, W., 795 Mayer–Vietoris Theorem, 795 McKay, J. H., 70 McLain, D. H., 70 Merkurjev, A. S., 871 Milnor, J., 870 minimal polynomial algebraic element, 162 left ideal, 528 polynomial matrix, 662 prime ideal, 321 prime over ideal, 963 Minkowski, H., 694, 931 minor, 734 Mitchell, B., 624, 629 obius, A. F., 167 modular group, 60 modular law, 533 module, 396 bimodule, 445 cyclic, 405 divisible, 464 faithful, 402 finitely generated, 405 finitely presented, 457 flat, 493 free, 450 injective, 460 left, 396 primary, 641 projective, 453 quotient, 406 right, 396 semisimple, 540 simple, 407 small, 628 torsion, 636 torsion-free, 636 trivial, 540 Molien, T., 558 monic polynomial, 93 several variables, 371 monoid, 22 free, 285 homomorphism, 272 monomial ideal, 385 monomial order, 371 degree-lexicographic order, 374 lexicographic order, 371 monomorphism (monic), 617 Monster, 750 Moore Theorem, 169 Moore, E. H., 169, 267 Moore, J., 460 Morita equivalent, 631
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