Nilpotent spaces: some inequalities on nilpotency degrees

The Degrees of Nilpotency of Nilpotent Derivations on the Ring of Matrices

We consider Mn(R), the ring of n by n matrices on the real numbers where n ≥ 2. We find all of the natural numbers that are the degree of nilpotency of some nilpotent derivations on Mn(R). Mathematics Subject Classification: 16S50, 13N15, 16N40

Some Inequalities for Nilpotent Multipliers of Powerful p-Groups

Some Polynomial Inequalities on Real Normed Spaces

We consider various inequalities for polynomials, with an emphasis on the most fundamental inequalities of approximation theory. In the sequel a key role is played by the generalized Minkowski functional α(K,x), already being used by Minkowski and contemporaries and having occurred in approximation theory in the work of Rivlin and Shapiro in the early sixties. We try to compare real, geometric ...

Nilpotency Classes of Right Nilpotent Congruences

It is known that a right nilpotent congruence on a-nite algebra A is also left nilpotent Kea93]. The question on whether the left nilpotency class of is less than or equal to the right nilpo-tency class of is still open. In this paper we nd an upper limit for the left nilpotency class of. In addition, under the assumption that 1 6 2 typ fAg, we show that (] k =) k for all k 1. Thus the left and...

some inequalities for nilpotent multipliers of powerful p-groups