In this study, New identities of Buchsteiner loops were obtained via the principal isotopes. It was also shown that the middle inner mapping T v is a crypto-automorphism with companions v and v. Our results which are new in a way, complement and extend existing results in literatures.

We call a pseudovariety finite join irreducible if V ≤ V1 ∨V2 =⇒ V ≤ V1 or V ≤ V2. We present a large class of group mapping semigroups generating finite join irreducible pseudovarieties. We show that many naturally occurring pseudovarieties are finite join irreducible including: S, DS, CR, CS and H, where H is a group pseudovariety containing a non-nilpotent group.

The V-pits and potential fluctuations in InGaN/GaN multiple quantum wells (MQWs) are key factors for understanding the performance of InGaN/GaN-based light-emitting diodes (LEDs). However, photoluminescence (PL) measurements using conventional optical microscopy only provide ensemble information due to the spatial resolution limit, known as the diffraction barrier, which hinders the analysis of...

(V,E) be a finite undirected graph with vertex set V and edge set E. A mapping f ~ {O.l}m is called an M-coding of G, if the induced mapping g : V ~ {O,l • defined as g(v) f(uv). assigns ueV,uveE different vectors to the vertices of G, where all summations are mod 2.An M-coding f is calle~ positive if the zero vector is not assigned to any edge and the induced labelling g does not assign the ze...

An (L, d)∗-coloring is a mapping φ that assigns a color φ(v) ∈ L(v) to each vertex v ∈ V (G) such that at most d neighbors of v receive colore φ(v). A graph is called (m, d)∗-choosable, if G admits an (L, d)∗-coloring for every list assignment L with |L(v)| ≥ m for all v ∈ V (G). In this note, it is proved that every toroidal graph, which contains no adjacent triangles and contains no 6-cycles ...

the stolt (f-k) migration algorithm is a direct (i.e. non-recursive) fourier-domain technique based on a change of variables (or equivalently, a mapping) that converts the input spectrum to the output spectrum. the algorithm is simple and efficient but limited to constant velocity. a v(z)(f-k) migration method, capable of very high accuracy for vertical variations of velocity, can be formulated...

An (L, d)-coloring is a mapping φ that assigns a color φ(v) ∈ L(v) to each vertex v ∈ V (G) such that at most d neighbors of v receive colore φ(v). A graph is called (m, d)-choosable, if G admits an (L, d)-coloring for every list assignment L with |L(v)| ≥ m for all v ∈ V (G). In this note, it is proved that every toroidal graph, which contains no adjacent triangles and contains no 6-cycles and...

In this paper we provide a splitting algorithm for solving coupled monotone inclusions in real Hilbert space involving the sum of normal cone to vector subspace, maximally monotone, monotone-Lipschitzian, and cocoercive operator. The proposed method takes advantage intrinsic properties each operator generalizes partial inverses forward-backward-half forward splitting, among other methods. At it...

and Applied Analysis 3 for all x1, . . . , x2n ∈ V if and only if the odd mapping f : V → W is Cauchy additive, that is, f ( x y ) f x f ( y ) , 2.2 for all x, y ∈ V . Proof. Assume that f : V → W satisfies 2.1 . Letting x1 · · · xn x, xn 1 · · · x2n y in 2.1 , we get nf ( x − x y 2 ) nf ( y − x y 2 ) nf x nf ( y ) − 2nf ( x y 2 ) , 2.3 for all x, y ∈ V . Since f : V → W is odd, 0 nf x nf ( y )...

Open reading frame 71 (ORF 71) of Kaposi's sarcoma-associated herpesvirus (KSHV) encodes a death effector domain-containing protein that is homologous to cellular FLIPs (FLICE-inhibitory proteins) and is proposed to inhibit Fas-mediated apoptosis. Transcripts bearing ORF 71 (v-FLIP) sequences are present in all latently infected cells. However, mapping studies reveal these to be bi- or tricistr...