Index 997 module, 405 finitely presented group, 281 module, 457 Finney, Jr., R. L., 457 First Isomorphism Theorem abelian category, 626 commutative rings, 157 complexes, 788 groups, 50 modules, 406 vector spaces, 155 Fitchas, N., 456 Five Lemma, 486 fixed field, 192 fixed-point-free, 596 fixes, 174 flat dimension, 951 flat module, 493 flat resolution, 950 Fontana, N. (Tartaglia), 1 forgetful functor, 438 formal power series one variable, 91 several variables, 974 Formanek, E., 714 four-group, 28 fraction field, 88 fractional ideal, 929 Frattini Argument, 251 Frattini subgroup, 262 Frattini, G., 251 free abelian group, 228 algebra, 710 commutative algebra, 513, 712 group, 272 module, 450 monoid, 285 resolution, 782 freeness property, 229 Freyd, P., 624 Frobenius automorphism, 180 complement, 596 group, 596 kernel, 597 Reciprocity, 584 Theorem Frobenius kernels, 599 real division algebras, 607 Frobenius, F. G., 76, 243, 580, 589, 593, 607, 849 full functor, 624 full subcategory, 620 fully invariant, 250 function field, 335 functor additive, 441, 614 constant, 438 contravariant, 439 contravariant Hom, 439 covariant, 437, 439 covariant Hom, 437 dual space, 440 exact, 445, 624 forgetful, 438 full, 624 identity, 437 left exact, 443, 444 representable, 493 right exact, 476 two variables, 487 fundamental group, 276 Fundamental Theorem Arithmetic, 255 finite abelian groups elementary divisors, 238 invariant factors, 240 Galois Theory, 201, 523 modules elementary divisors, 644 invariant factors, 645 symmetric functions, 198 symmetric polynomials, 198, 379 G-category, 862 G-domain, 908 G-ideal, 908 G-set, 64 faithful, 593 Gabriel, P., 562, 629, 748 Galligo, A., 456 Galois extension, 197, 521 Galois field, 169 Galois group, 175, 521 absolute, 524 Galois Theorem, 167 Galois, E., 4, 34 Gasch¨ utz, W., 778 Gauss Theorem R[x] UFD, 308 cyclotomic polynomial, 122 Gauss’s Lemma, 309 Gauss, C. F., 130, 205 Gaussian elimination, 675 Gaussian equivalent, 676 Gaussian integers, 83 general linear group, 20 general polynomial, 166 Generalized Associativity, 21, 707 generalized character, 573 generalized matrix, 546 generalized quaternions, 271
Previous Page Next Page