A case of adrenal-like tumor of the left ovary with peripheral and ovarian venous sex steroid levels is reported. High levels of androstenedione and testosterone together with normal levels of dehydroepiandrosterone and dehydroepiandrosterone-sulfate from the left ovarian vein infer a tumor derivation from transformation of the ovarian stromal cells.

let a be a unital algebra over a field of characteristic zero. we show that every derivation from( ) n m a into its dual ( ) n m a ∗ is the sum of an inner derivation and a derivation induced by a derivationfrom a into a∗

Abstract Stratified groups are those simply connected Lie whose algebras admit a derivation for which the eigenspace with eigenvalue 1 is generating. When stratified group equipped left-invariant path distance that homogeneous respect to automorphisms induced by derivation, this metric space known as Carnot group. appear in several mathematical contexts. To understand their algebraic structure,...

We explain how we extracted a PCFG (probabilistic contextfree grammar) from the Paris VII treebank. First we transform the syntactic trees of the corpus in derivation trees. The transformation is done with a generalized tree transducer, a variation from the usual top-down tree transducers, and gives as result some derivation trees for an AB grammar, which is a subset of a Lambek grammar, contai...

Abstract Let S be a domain and R = [ t ; σ, δ ] skew polynomial ring, where σ is an injective endomorphism of left -derivation. We give criteria for polynomials f ∈ degree less or equal to four irreducible. apply them low in quantized Weyl algebras the quantum planes. also consider ( ) m − .

The main purpose of this research is to characterize generalized (left) derivations and Jordan (*,*)-derivations on Banach algebras rings using some functional identities. Let A be a unital semiprime algebra let F,G : ? linear mappings satisfying F(x) =-x2G(x-1) for all x Inv(A), where Inv(A) denotes the set invertible elements A. Then both F G are Another result in regard as follows. n > 1 ...

The aim of this paper is to show that under some mild conditions a functional equation of multiplicative $(alpha,beta)$-derivation is superstable on standard operator algebras. Furthermore, we prove that this generalized derivation can be a continuous and an inner $(alpha,beta)$-derivation.