We study $$(\sigma ,\tau )$$ -derivations of a group ring RG where G is with center having finite index in and R semiprime 1 such that either has no torsion elements or if p-torsion elements, then p does not divide the order let $$\sigma $$ be R-linear endomorphisms fixing pointwise. generalize Main Theorem 1.1 Chaudhuri (Comm Algebra 47(9): 3800–3807, 2019) prove there $$T\supset R$$ $$\mat...

In the present paper, we introduce S-evolution algebras and investigate their solvability, simplicity, semisimplicity. The structure of enveloping has been carried out through attached graph algebras. Moreover, concept E-linear derivation algebras, prove such derivations can be extended to under certain conditions.

The "curved" super Grassmannian is the supervariety of subsupervarieties purely odd dimension $k$ in a~supervariety $n$, unlike "usual" which linear subsuperspacies a~superspace $n$. Lie superalgebras all and Hamiltonian vector fields on superpoint are realized as derivations structure sheaves certain Grassmannians,

We introduce the concept of reflexivity for bounded n-linear maps and investigate the reflexivity of Zn(L1(G),X), the space of bounded ncocycles from L1(G)(n) into X, where L1(G) is the group algebra of a locally compact group G and X is a Banach L1(G)-bimodule. We show that Zn(L1(G), X) is reflexive for a large class of groups including groups with polynomial growth, IN-groups, maximally almos...

Switching Kalman Filters (SKF) are well known for their ability to solve the piecewise linear dynamic system estimation problem using standard Filter (KF). Practical SKFs heuristic, approximate filters that not guaranteed have optimal performance and require more computational resources than a single mode KF. On other hand, applying mismatched KF switching (SLDS) results in erroneous estimation...

The matrix cuts of Lovász and Schrijver are methods for tightening linear relaxations of zero-one programs by the addition of new linear inequalities. We address the question of how many new inequalities are necessary to approximate certain combinatorial problems with strong guarantees, and to solve certain instances of Boolean satisfiability. We show that relaxations of linear programs, obtain...

The vast majority of cases of T cell large granular lymphocyte (T-LGL) leukemia have a CD3+, CD4-, CD8+ phenotype and express the alphabeta T cell receptor. Whether the rare gammadelta variant should be included in the same diagnostic category is currently unclear. Two well-characterized cases of gammadelta T-LGL leukemia were identified by our laboratory in 2007. These two cases and other repo...

1. A pseudomonad capable of utilizing 4-chlorophenoxyacetate (CPA) as sole source of organic carbon was isolated from soil. 2. The organism was grown in liquid culture and the following compounds were isolated and identified in culture extracts: 4-chloro-2-hydroxyphenoxyacetate, 4-chlorocatechol, beta-chloromuconate probably the cis-trans isomer and gamma-carboxymethylene-Delta(alphabeta)-buten...

In contrast with the alphabeta T cell receptor (TCR), the pre-TCR spontaneously segregates to membrane rafts from where it signals in a cell-autonomous fashion. The disparate behaviors of these two receptors may stem either from differences inherent to the distinct developmental stages during which they are expressed, or from features intrinsic and unique to the receptor components themselves. ...