sarhaddi balochi dialect, a language variety of western (rakhshani) balochi, employs derivation through affixation as one of its word formation processes. the purpose of this article is to present a synchronic description of the way(s) different derivational affixes function in making complex words in sarhaddi balochi as spoken in granchin[1] district located about 35kms to the southeast of kha...

we show that  higher derivations on a hilbert$c^{*}-$module associated with the cauchy functional equation satisfying generalized hyers--ulam stability.

there are several kinds of hyperrings, for example, krasnerhyperrings, multiplicative hyperring, general hyperrings and$h_v$-rings. in a multiplicative hyperring, the multiplication isa hyperoperation, while the addition is a binary operation. in this paper, the notion of derivation on multiplicative hyperrings is introduced and some related properties are investigated. {bf keywords:} multiplic...

We investigate the stability of generalizedderivations on Banach algebras with a bounded central approximateidentity. We show that every approximate generalized derivation inthe sense of Rassias, is an exact generalized derivation. Also thestability problem of generalized derivations on the faithful Banachalgebras is investigated.

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.

Let A be a unital R-algebra and M be a unital A-bimodule. It is shown that every Jordan derivation of the trivial extension of A by M, under some conditions, is the sum of a derivation and an antiderivation.

Samuels and Donnelly, [1] in a recent Letter, have successfully applied the unusual kinematics of rotons to an analysis of roton-vortex scattering and mutual friction in He II. We applaud this success, which uses an approach we have advocated in an earlier publication. [2] Our purpose, in the present note, is to point out that the authors have made an unnecessary approximation in analyzing roto...