
EXAMPLE SHEET 1 1. If k is a commutative ring, prove that b k
... (co)complete if V is so. Prove that a subspace V Ă C of a coalgebra C is a subcoalgebra if and only if it is a left and a right coideal. Let V and W be a k-vector spaces and ř U Ă W a subspace. Every time one writes an element x P V b U Ă V b W as x “ ni“1 vi b wi with the tvi u linearly independent ...
... (co)complete if V is so. Prove that a subspace V Ă C of a coalgebra C is a subcoalgebra if and only if it is a left and a right coideal. Let V and W be a k-vector spaces and ř U Ă W a subspace. Every time one writes an element x P V b U Ă V b W as x “ ni“1 vi b wi with the tvi u linearly independent ...
Constellations Matched to the Rayleigh Fading Channel
... as a consequence of their poor built-in time diversity. We show in Section 111 that the S-admissibility of a lattice is desirable because it guarantees that any constellation carved out of A offers an nth-order diversity on the Rayleigh fading channel. Use of number-field theory allows us to build a ...
... as a consequence of their poor built-in time diversity. We show in Section 111 that the S-admissibility of a lattice is desirable because it guarantees that any constellation carved out of A offers an nth-order diversity on the Rayleigh fading channel. Use of number-field theory allows us to build a ...