994 Index acyclic, 786 de Rham, 726 differential, 622 direct sum, 623 quotient, 788 subcomplex, 788 zero, 784 composition series, 253, 526 composition, category, 419 compositum, 198 congruent matrices, 685 conjugacy class, 66 conjugate algebraic integers, 163 elements in field extension, 919 group elements, 41 intermediate fields, 197 subgroups, 66 conjugation Grassmann algebra, 720 groups, 42 quaternions, 393 connecting homomorphism, 789 constant functor, 438 constant polynomial, 93 constant term, 93 content, 308 contracting homotopy, 787 contraction of ideal, 903 contragredient, 588 contravariant functor, 439 convolution, 395 coordinate list, 139 coordinate ring, 352 coprime ideals, 301 coproduct family of objects, 428 two objects, 423 Corner, A. L. S., 879 Correspondence Theorem groups, 53 modules, 407 rings, 295 coset, 32 cosyzygy, 948 covariant functor, 439 Cramer’s Rule, 739 crossed homomorphism, 776 crossed product algebra, 850 cubic polynomial, 93, 183 Culler, M., 292 cycle homology, 785 permutation, 6 cycle structure, 9 cycles, simplicial, 755 cyclic algebra, 850 group, 29 module, 405 cyclotomic field, 922 cyclotomic polynomial, 119 DCC, 527 De Morgan Law, 89 de Morgan, A., 89 de Rham complex, 726 de Rham, G., 726 Dean, R. A., 89 Dedekind ring, 927 Dedekind Theorem, 193 Dedekind, R., 193, 900 degree character, 568 Euclidean ring, 124 extension field, 160 graded map, 705 homogeneous element, 704 inseparability, 343, 347 polynomial, 91 several variables, 371 rational function, 331 representation, 564 separability, 347 several variables, 370 degree-lexicographic order, 374 deleted resolution, 798 dependency axioms, 337 Exchange, 337 dependency relation, 337 derivation group, 776 Lie algebra, 745 principal, 776 ring, 741, 744 derivative, 94 derived series groups, 259 Lie algebra, 747 Derry, D., 879 Descartes, R., 1, 3 descending central series group, 260 Lie algebra, 747 determinant, 729 diagonal, 616, 824 diagonalizable, 670 diagram, 423 commutative, 423 diagram chasing, 480 Dickson, L. E., 15, 267, 269, 614, 849 dicyclic group, 284 Dieudonn´ e, J., 712

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