In this paper, we investigate homomorphisms between JB∗ -triples, and derivations on JB∗ -triples associated to the following Cauchy–Jensen type additive functional equation f ( x + y 2 + z ) + f ( x + z 2 + y ) + f ( y + z 2 + x ) = 2[f (x) + f (y) + f (z)]. The concept of Hyers-Ulam-Rassias stability originated from Th. M. Rassias’ stability theorem that appeared in his paper: On the stabilit...

Both germline transcription and switch recombination of heavy chain genes are likely to be regulated by cis elements binding transcription factors in the promoter regions of germline immunoglobulin genes. To identify cis-acting elements important in germline transcription of the murine c1 heavy chain gene, we have used a transgenic approach. Seventeen kb c1 immunoglobulin transgenes with mutati...

This study aimed to identify gastric mucosal protectants that suppress intestinal tumorigenesis in a mouse model. We chose six gastric mucosal protectants (ecabet sodium hydrate, irsogladine maleate, rebamipide, sofalcone, teprenone and troxipide) and examined their effects on the activity of oxidative stress-related transcriptional factors, including AP-1, NF-jB, NRF2, p53 and STAT3, in Caco-2...

‎Let $mathcal{A}$ be a commutative Banach algebra and $mathscr{X}$ be a left Banach $mathcal{A}$-module‎. ‎We study the set‎ ‎${rm Dec}_{mathcal{A}}(mathscr{X})$ of all elements in $mathcal{A}$ which induce a decomposable multiplication operator on $mathscr{X}$‎. ‎In the case $mathscr{X}=mathcal{A}$‎, ‎${rm Dec}_{mathcal{A}}(mathcal{A})$ is the well-known Apostol algebra of $mathcal{A}$‎. ‎We s...

 For a Banach algebra $fA$, we introduce ~$c.c(fA)$, the set of all $phiin fA^*$ such that $theta_phi:fAto  fA^*$ is a completely continuous operator, where $theta_phi$ is defined by $theta_phi(a)=acdotphi$~~ for all $ain fA$. We call $fA$, a completely continuous Banach algebra if $c.c(fA)=fA^*$. We give some examples of completely continuous Banach algebras and a sufficient condition for an o...

In this paper we look at the K-theory of a specific C*-algebra closely related to the irrational rotation algebra. Also it is shown that any automorphism of a C*-algebra A induces group automorphisms of K_{1}(A) amd K_{0}(A) in an obvious way. An interesting problem for any C*-algebra A is to find out whether, given an automorphism of K_{0}(A) and an automorphism of K_{1}(A), we can lift them t...

The testing of high-dimensional normality is an important issue and has been intensively studied in the literature, it depends on variance–covariance matrix sample numerous methods have proposed to reduce its complexity. Principle component analysis (PCA) widely used high dimensions, since can project data into a lower-dimensional orthogonal space. reduced then be evaluated by Jarque–Bera (JB) ...

a heyting algebra is a distributive lattice with implication and a dual $bck$-algebra is an algebraic system having as models logical systems equipped with implication. the aim of this paper is to investigate the relation of heyting algebras between dual $bck$-algebras. we define notions of $i$-invariant and $m$-invariant on dual $bck$-semilattices and prove that a heyting semilattice is equiva...

Definition 19. A generalized complex structure (GCS) on E is an integrable orthogonal complex structure J : E E, i.e. a map s.t. → • �JA, JB� = �A,B� • L = Ker (J − i1) Note. 1. �JA,B� = �JA, JB� = −�A, JB�, and thus �J·, ·� is a symplectic struction on E compatible with �, �. 2. L is maximal isotropic and so is L, and thus E = L ⊕ L = L ⊕ L∗ and we get a Lie bialgebroid. 3. V must be even dime...

Two types of cytochrome P450 2D14 (CYP2D14) gene deletions (GD1 and GD2) in Japanese Black cattle has been reported by us. In this study, we determined the frequency of cytochrome P450 2D14 (CYP2D14) genetic polymorphisms in 48 Japanese Black (JB) and 48 Holstein-Friesian (HF) cattle using polymerase chain reaction (PCR)-direct sequencing. Two types of CYP2D14 gene deletion variants, GD1 and GD...