Algebra, william a adkins, steven h weintraub

Graduate Texts in Mathematics 136 Editorial Board S Axler F.W Gehring K.A Ribet Springer Science+Business Media, LLC Graduate Texts in Mathematics 10 II 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 TAKEUTIlZARING Introduction to Axiomatic Set Theory 2nd ed OXT') v geom (>') J{fx),n Jz,r ( :) A* 11·11 WJ T* Cp(A) B£A B!!:,A B~A £(M) (M:N) C(T) M* 8* M** Hull(N) K(A) K*(B) C(M) 1* Ad(f) r 0:,4>0 [4>]5 Bilin(M) Seslin(M) (± 1)-symmetric c-symmetric Nl N2 change of basis matrix matrix of E HomR(M, N) matrix of E EndR(M) determinant of E EndR(M) trace of E EndR(M) multiplication by A minimal polynomial of T characteristic polynomial of T companion matrix of I(X) characteristic polynomial of matrix A Jordan block algebraic multiplicity of eigenvalue > geometric multiplicity of eigenvalue > generalized Jordan block real Jordan block inner product Hermitian transpose norm orthogonal complement adjoint of T pth compound matrix of A B is left equivalent to A B is right equivalent to A B is equivalent to A centralizer of T dual module of M dual basis double dual of M annihilator of A ~ M annihilator of B ~ M* set of complemented submodules of M adjoint of adjoint of conjugate of r matrix of form 4> bilinear forms on M sesquilinear forms on M orthogonal direct sum 515 215 217 217 227 227 229 235 235 237 240 246 249 249 251 254 269 269 270 273 273 281 296 296 296 329 329 335 341 341 342 345 345 346 346 349 349 351 352 353 353 353 356 356 357 516 MO N.L ncp Index of Notation = MO(cp) Pf(A) signature (cp) P adjoint of orthogonal sum of