In this paper, we investigate the generalized Hyers-Ulam-Rassias and the Isac and Rassias-type stability of the conditional of orthogonally ring $*$-$n$-derivation and orthogonally ring $*$-$n$-homomorphism on $C^*$-algebras. As a consequence of this, we prove the hyperstability of orthogonally ring $*$-$n$-derivation and orthogonally ring $*$-$n$-homomorphism on $C^*$-algebras.

Communication between nucleus and cytoplasm extends past molecular exchange and critically includes mechanical wiring. Cytoskeleton and nucleoskeleton are connected via molecular tethers that span the nuclear envelope. Sad1, UNC84 (SUN)-domain proteins spanning the inner nuclear membrane and Klarsicht, ANC-1 and SYNE/Nesprin-1 and -2 Homology (KASH)-peptide bearing proteins residing in the oute...

Vol. XL (November 2003), 375–388 375 *Prasad A. Naik is Associate Professor of Marketing, Graduate School of Management, University of California, Davis (e-mail: panaik@ucdavis. edu). Kalyan Raman is Professor of Marketing, School of Management, University of Michigan, Flint (e-mail: [email protected]). The authors benefited from the suggestions of seminar participants at Columbia University;...

Dynamic multi-resource fair allocation has been a hot topic for fair division. Most recently, Kash, Procaccia and Shah (Journal of Articial Intelligence Research 51: 579-603, 2014) proposed a dynamic dominant resource fairness (DRF) mechanism, and designed a water-filling algorithm to find a dynamic DRF solution. However, the running time of water-filling algorithm is pseudo-polynomial. In this...

Cohn called a ring $R$ is reversible if whenever $ab = 0,$ then $ba = 0$ for $a,bin R.$ The reversible property is an important role in noncommutative ring theory‎. ‎Recently‎, ‎Abdul-Jabbar et al‎. ‎studied the reversible ring property on nilpotent elements‎, ‎introducing‎ the concept of commutativity of nilpotent elements at zero (simply‎, ‎a CNZ ring)‎. ‎In this paper‎, ‎we extend the CNZ pr...

Hot ring rolling is a highly nonlinear, unsteady-state and asymmetry process which is affected by many parameters. The friction coefficient between the ring ,the driver roll and the idle roll is one of the problems, which has significant effect on the quality of final product. In this study, the effect of these two parameters on hot ring rolling was investigated based on a 3D coupled-thermo mec...