1006 Index simplicial homology, 755 simplicial map, 753 Singer, R., 122 skeletal subcategory, 628 skew field, 393 skew polynomials, 392 Skolem, T., 607 Skolem–Noether Theorem, 607 slender, 431 small category, 490 small class (= set), 419 small module, 628 Small, L., 416 smallest element in partially ordered set, 318 subspace, 136 Smith normal form, 677 Smith, H. J. S., 676 solution linear system, 135 universal mapping problem, 425 solution space, 135 solvable by radicals, 182 group, 186, 259 Lie algebra, 747 spans, 136 infinite-dimensional space, 321 Spec(R), 359 special linear group, 37 special unitary group, 701 spectral sequence, 856 splice, 417 split extension groups, 760 modules, 818 split short exact sequence, 412 splits, polynomial, 165 splitting field central simple algebra, 604 polynomial, 165 S-polynomial, 381 Sridharan, R., 866 stabilizer, 64 stabilizes an extension, 775 stably isomorphic, 865 stalk, 513 Stallings, J., 845 standard basis, 139 standard identity, 714 Stasheff, J., 707 Steinitz Theorem, 203, 944 Steinitz, E., 203 Stickelberger, L., 243 Strade, H., 748 structure constants, 849 subalgebra, Lie, 746 subcategory, 620 full, 620 skeletal, 628 subcomplex, 788 subfield, 88 subgroup, 28 basic, 653 center, 42 centralizer of element, 66 centralizer of subgroup, 66 characteristic, 250 commutator, 257 conjugate, 66 cyclic, 29 Frattini, 262 fully invariant, 250 Hall, 773 nontrivial, 28 normal, 41 generated by X, 46 normalizer, 66 proper, 28 pure, 231 subnormal, 186 Sylow, 244 torsion, 241 submatrix, 734 submodule, 404 cyclic, 405 generated by X, 405 proper, 404 torsion, 636 subnormal subgroup, 186 subobject, 620 subquotient, 854 subring, 83, 394 subspace, 135 invariant, 404 proper, 135 smallest, 136 spanned by X, 136 subword, 273 superalgebra, 728 Suslin, A. A., 456, 871 Swan, R. G., 846, 866 Sylow subgroup, 244 Sylow Theorem, 245, 246 Sylow, L., 243 Sylvester, J. J., 691 symmetric algebra, 713 bilinear form, 683 difference, 19 function, 198 elementary, 174 group, 5 space, 683
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