in this paper, we introduce the new notion of strongly j-clean rings associatedwith polynomial identity g(x) = 0, as a generalization of strongly j-clean rings. we denotestrongly j-clean rings associated with polynomial identity g(x) = 0 by strongly g(x)-j-cleanrings. next, we investigate some properties of strongly g(x)-j-clean.

The three scholarly monographs published between 2017 and 2020 by Laura White, Tosi Peter Hunt, Kiera Vaclavik, are recent contributions to Lewis Carroll scholarship. They belong what Michael Heyman calls “the sense school” of nonsense literary criticism in so far as they attribute a specific agenda, systematic structure, decipherable message, homogenised reading the Alice tales (Alice’s Advent...

Let P1, . . . ,Pn be properties of graphs. A (P1, . . . ,Pn)-partition of a graph G is a partition of the vertex set V (G) into subsets V1, . . . , Vn such that the subgraph G[Vi] induced by Vi has property Pi; i = 1, . . . , n. A graph G is said to be uniquely (P1, . . . ,Pn)-partitionable if G has exactly one (P1, . . . ,Pn)-partition. A property P is called hereditary if every subgraph of ev...

Dunn et al. (2011) attempt an exciting piece of research, investigating which word-order parameters are co-dependent or independent, and which are stable or not. Claims about “universality” have to be taken with several grains of salt, since they investigate only four families, compared to the dozens of families that have been part of samples for the last several decades. More significantly, ho...

1 Mestak O, Kullac R, Mestak J, Nosek A, Krajcova A, Sukop A. Evaluation of the long-term stability of sheath plication using absorbable sutures in 51 patients with diastasis of the recti muscles: an ultrasonographic study. Plast Reconstr Surg. 2012 Nov;130(5):714e-719e. 2 Tadiparthi S1, Shokrollahi K, Doyle GS, Fahmy FS. Rectus sheath plication in abdominoplasty: assessment of its longevity an...

Recent research on a wide variety of systems has demonstrated that animals generally coevolve with their microbial symbionts. Although such relationships are most often established anew each generation, the partners associate with fidelity, i.e., they form exclusive alliances within the context of rich communities of non-symbiotic environmental microbes. The mechanisms by which this exclusivity...

Although the genetic basis of Duchenne muscular dystrophy has been known for almost thirty years, the cellular and molecular mechanisms characterizing the disease are not completely understood and an efficacious treatment remains to be developed. In this study we analyzed proteomics data obtained with the SomaLogic technology from blood serum of a cohort of patients and matched healthy subjects...