In an arbitrary Grothendieck category, we find necessary and sufficient conditions for the class of $\text{FP}_n$-injective objects to be a torsion class. By doing so, propose notion $n$-hereditary categories. We also define study $\text{FP}_n$-flat in categories with generating set small projective objects, provide several equivalent this torsion-free. end, present applications examples contex...

Let R be a 2-torsion free ring and L a Lie ideal of R. An additive mapping F : R ! R is called a generalized derivation on R if there exists a derivation d : R to R such that F(xy) = F(x)y + xd(y) holds for all x y in R. In the present paper we describe the action of generalized derivations satisfying several conditions on Lie ideals of semiprime rings.

Undifferentiated cells from preantral (PA) follicles respond to high levels of cAMP in a different manner than do differentiated cells from preovulatory (PO) follicles. We hypothesized that this differential response of PA and PO cells to cAMP could be due, in part, to either a difference in the profile of isoforms that comprise the cAMP-dependent protein kinase (PKA) holoenzymes and/or a diffe...

Background Abnormal myocardial rotation and torsion have been investigated earlier as markers of ventricular failure1-2. However, there are no previous studies on global or regional torsion in functional single ventricle (SV) or the contribution of torsion to biomechanical differences between single RV (SRV) and single LV (SLV) hearts. Additionally, regional variations in rotation between the v...

Inter and intramolecular interactions are important in the context of conformational preferences, molecular reactivity and supramolecular chemistry. The extent of 1, 4 PO intramolecular interaction present in the solid state structures of a special class of phosphine appended phosphorus ylide ligand and its Hg(II) derivatives were examined. While halogen ligands around mercury ion seem to affec...