Let R be a ring with involution. An additive mapping T : R → R is called a left ∗-centralizer (resp. Jordan left ∗-centralizer) if T (xy) = T (x)y∗ (resp. T (x2) = T (x)x∗) holds for all x, y ∈ R, and a reverse left ∗-centralizer if T (xy) = T (y)x∗ holds for all x, y ∈ R. The purpose of this paper is to solve some functional equations involving Jordan left ∗-centralizers on some appropriate su...

We describe all degenerations of the variety $\mathfrak{Jord}_3$ Jordan algebras dimension three over $\mathbb{C}.$ In particular, we irreducible components in $\mathfrak{Jord}_3.$ For every $n$ define an $n$-dimensional rigid ''marginal'' algebra level one. Also, discuss associative, alternative, left non-commutative Jordan, Leibniz, and anticommutative cases.

The notion of symmetric left bi-derivation of a BCI-algebra X is introduced, and related properties are investigated. Some results on componentwise regular and d-regular symmetric left bi-derivations are obtained. Finally, characterizations of a p-semisimple BCI-algebra are explored, and it is proved that, in a p-semisimple BCI-algebra, F is a symmetric left bi-derivation if and only if it is a...

Type I IFN (IFN-I or IFN-alphabeta) plays an important role in the innate immune response against viral infection. Here we report that a potent inducer of IFN-alphabeta, polyinosinic-polycytidylic acid [poly(I:C)], led to the depletion of T cells in young, but not aged mice, and that this depletion was limited to central memory, but not effector memory, T cells. Although early activation of T c...

We prove that every approximate linear left derivation on a semisimple Banach algebra is continuous. Also, we consider linear derivations on Banach algebras and we first study the conditions for a linear derivation on a Banach algebra. Then we examine the functional inequalities related to a linear derivation and their stability. We finally take central linear derivations with radical ranges on...

Using the notion of a symmetric virtual diagonal for Banach algebra, we prove that algebra is symmetrically amenable if its second dual amenable. We introduce operator amenability in category completely contractive algebras as an analogue algebras. give some equivalent formulations and investigate hereditary properties show locally compact groups to Fourier algebra. Finally, discuss about Jorda...

1. Characterization of P2X receptors on neurons of guinea-pig superior cervical ganglion (SCG) has been carried out using a whole-cell voltage-clamp technique. 2. Application of ATP and alpha,beta-methylene ATP (alphabeta-MeATP) produced fast activating inward currents, which desensitized slowly. The maximum response to alphabeta-MeATP was 36 +/- 23 % (range 0.1-100 %) of that evoked by ATP in ...

Let A be an algebra over the real or complex field F. An additive mapping d : A → A is said to be a left derivation resp., derivation if the functional equation d xy xd y yd x resp., d xy xd y d x y holds for all x, y ∈ A. Furthermore, if the functional equation d λx λd x is valid for all λ ∈ F and all x ∈ A, then d is a linear left derivation resp., linear derivation . An additive mapping G : ...

we are reporting on a patient with a large linear syringocystadenoma papiliferum present at birth over the anterior surface of the left leg. histologic findings and the results of immitnohlstochcmicat staining with monoclonal antihotlies cea and ikh-4 suggest derivation from eccrinc glands.

T cells have the capability of recognizing target cells through their T cell receptors (TCRs). Thus, the percentages of CD3+/gamma-delta (gammadelta) TCR+ and CD3+/alpha-beta (alphabeta) TCR+ T lymphocytes were investigated in active and inactive pulmonary tuberculosis (PT) patients and in healthy individuals. CD3+ and CD3+/alphabeta TCR+ cell percentages were significantly lower in all PT pati...