The RING-in-between-RING (RBR) E3s are a curious family of ubiquitin E3-ligases, whose mechanism of action is unusual in several ways. Their activities are auto-inhibited, causing a requirement for activation by protein-protein interactions or posttranslational modifications. They catalyse ubiquitin conjugation by a concerted RING/HECT-like mechanism in which the RING1 domain facilitates E2-dis...

in this note we introduce the notion of weak mccoy rings as a generalization of mccoy rings, and investigate their properties. also we show that, if is a semi-commutative ring, then is weak mccoy if and only if is weak mccoy.

The main object of study in this paper is the completion Z[q] = lim ←−n Z[q]/((1−q)(1−q) · · · (1−q)) of the polynomial ring Z[q], which arises from the study of a new invariant of integral homology 3spheres with values in Z[q] announced by the author, which unifies all the sl2 Witten-Reshetikhin-Turaev invariants at various roots of unity. We show that any element of Z[q] is uniquely determine...

Let G be a multiplicative group, K a commutative ring with unit, and K(G) the group ring of G with respect to K. We say that K(G) is regular if given an x in K(G), there is a y in K(G) such that xyx = x. Using a homological characterization of regular rings which was found independently by M. Harada [2, Theorem 5] and the author, we prove that if G is locally finite, then K(G) is regular if and...

Given a graph G, an edge-coloring or G with colors 1,2.3.. is consecutive if the colors of edges incident to each vertex fomm an interval of integer-s. This papelis devoted to bipartite graphs which do not have such a coloring of edges. We investigate their consecutive coloring deficiency, or shortly the deficiency d(G) of G, i.e. the minimum number of pendant edges whose attachment to G makes ...

According to Bradbury and Mather (2009), in the 2003-2004 academic school year 45% of new students enrolling in four-year institutions were first-generation students. When compared to continuing-generation college students, first-generation students have been shown to find the college going experience to be more stressful (Phinney & Haas, 2003). Despite the knowledge that these students find th...

1. Introduction. We shall say that an integral domain1 R satisfies condition (M) if any two nonzero elements of R have a nonzero common right multiple. In this note it is proved that if 5 is an extension of a ring R such that S is, roughly speaking, a noncommutative polynomial ring in one variable with R as a coefficient ring, and if R has the property (M), then 5 has property (M). In case R is...

Warning sounds are necessary to promptly alert workers of events that can compromise safety. A wide range of strategies, including verbal and non-verbal signals have been used in different environments (Edworthy & Adams 1996; Haas & Edworthy 2006; Edworthy & Hellier 2006). Unfortunately, the use of warning signals in industry is often submitted to intuitive installation practices with little re...