Abstract. We show that for a quantum L-martingale (X(t)), p > 2, there exists a Doob-Meyer decomposition of the submartingale (|X(t)|). A noncommutative counterpart of a classical process continuous with probability one is introduced, and a quantum stochastic integral of such a process with respect to an L-martingale, p > 2, is constructed. Using this construction, the uniqueness of the Doob-Me...

Valeriana glechomifolia Meyer is a small herb 5}10 cm high, growing in South Brazil. The plant was collected in April, 1998 in Sa8 o JoseH dos Ausentes, RS, Brazil and identi"ed by M. Sobral (Curso de PoH s-Graduac7 a8 o em Cie( ncias Farmace( uticas da Universidade Federal do Rio Grande do Sul, Brazil). Voucher specimens (M. Sobral, 7733) are kept in the Herbarium of the Universidade Federal d...

This paper gives a complete primary decomposition of the first, that is, the smallest, Mayr-Meyer ideal, its radical, and the intersection of its minimal components. The particular membership problem which makes the Mayr-Meyer ideals’ complexity doubly exponential in the number of variables is here examined also for the radical and the intersection of the minimal components. It is proved that f...