Search

For a subset S of a ring R, an element a is said to have left S-element stable range 1 if whenever Ra + Rb = R there exists r ∈ S such that a + rb is a unit. When S = R (.resp., S = U (R) and S = idem (R) )., this is the notion of left stable range 1 (.resp., left unit-1 stable range and left idempotent stable range 1). This article is concerned with S = nil (R) . [ABSTRACT FROM AUTHOR]

Hypercyclic rings are those rings over which cyclic modules have cyclic injective hulls. Such rings were introduced by Caldwell in 1966 and studied by him and Osofsky in 1968. In this paper, we revisit Osofsky's work on hypercyclic rings, highlighting some of her results and questions on the subject. [ABSTRACT FROM AUTHOR]

Environmental disclosure is a crucial method for companies to demonstrate their environmental efforts. However, in some institutional contexts, companies may be inclined to "greenwash" their environmental disclosures, strategically seeking social rewards. Anchored on impression management theory, this study delves into the relationship between environmental disclosure and corporate value. The research substantiates the premium effect of environmental information while shedding light on the adverse impact of "environmental disclosure greenwashing" (EDG) on corporate value. Moreover, EDG leads to a further devaluation in the premium effect of environmental information. A more profound analysis reveals that the market trust acts as the mediating mechanism in the premium devaluation effect caused by EDG. Notably, when information user capability and media attention are scrutinized as distinct groups, the impact of EDG displays pronounced heterogeneity. These findings provide a theoretical foundation for verifying the authenticity of corporate environmental disclosures. Additionally, they offer valuable policy insights for rectifying EDG practices and enhancing environmental disclosure mechanisms. [ABSTRACT FROM AUTHOR]

A unit-picker is a map that associates to every ring R a well-defined set (R) of central units in R which contains 1 R , is invariant under isomorphisms of rings, is closed under taking inverses, and which satisfies certain set containment conditions for quotient rings, corner rings and matrix rings. Let be a unit-picker. A ring R is called U U if U (R) = (R) + nil (R) and U J if U (R) = (R) + J (R) and U N J if U (R) = (R) + nil (R) + J (R). An extensive study of these rings is conducted, and their connections with strongly nil -clean rings and semi -Boolean rings are investigated. When is specified, known results of U U -rings, U J -rings and U N J -rings are obtained and new results are proved. [ABSTRACT FROM AUTHOR]

Let R be a commutative ring, m>1 an integer and q>1 an odd number. The following questions are addressed: (1) when is every element in M n (R) and, respectively, in T n (R) a product of q-potents? (2) when is every element in M n (R) and, respectively, in T n (R) a product of mq-potents? and (3) when is every element in M n (R) and, respectively, in T n (R) a product of an idempotent and a q-potent? [ABSTRACT FROM AUTHOR]

Phenolic compounds have caused different degrees of negative impacts in aquatic environment. Amino acids, humic acids and carbohydrates are the three dominant types of dissolved natural organic matter (DNOM) in natural water bodies. In this research, the influences of dissolved natural organic matter (DNOM) on the adsorption behaviors of phenol, 2,4-dichlorophenol (DCP) and 2,4,6-trichlorophenol (TCP) in Weihe River suspended sediment were studied by using DL-alanine, fulvic acid and glucose as the representatives of the three types of DNOM. The results of batch adsorption experiments showed that, without DNOM, Langmuir and Freundlich had good fitting effects on the three phenolic compounds and their maximum adsorption capacities were 21.580, 27.768 and 24.758 mg/kg respectively. The presence of amino acids increased adsorption capacities of the phenol and TCP on suspended sediments by approximately 13.84% and 11.56% respectively. The existence of fulvic acid and glucose positively affected the adsorption of phenol, DCP and TCP on suspended sediment. The isothermal adsorption in the coexistence of different DNOM were more consistent with the nonlinear adsorption. Other influence factors including pH, ionic strength and temperature can influence the adsorption behavior to different extents. The impact of dissolved natural organic matter (DNOM) on adsorption should be fully considered when mastering environmental migration and transformation behaviors of phenolic compounds in water-sediments environment. [ABSTRACT FROM AUTHOR]

Identifying whether and how merger and acquisition (M&A) goodwill influences corporate technology innovation is a critical topic in the context of growing M&A activities. Based on the panel data of 2,634 Chinese non-financial listed companies from 2007 to 2019, this paper adopts multiple linear regression and the Bootstrap method to investigate the impact of M&A goodwill on corporate technological innovation and the mechanism through which M&A goodwill affects technological innovation. The results show that: (1) There is a significant negative correlation between M&A goodwill and technological innovation input, with financial constraints acting as the main channels. (2) Non-private corporations enjoy a higher level of financing capacity in terms of debt and equity compared with private corporations, resulting in the absence of the disincentive effect of M&A goodwill on corporate technological innovation inputs, despite the fact that M&A activities also cause massive resource consumption. (3) Stock pledges by controlling shareholders are effective in alleviating the negative impact of M&A goodwill on technological innovation inputs. Furthermore, our results highlight that simple stock pledge measures capture a significant influence of alleviating financing constraints, thereby decreasing the adverse impact of M&A, and hence need to be adequately considered in future M&A and innovation studies. While enriching the literature on the economic consequences of M&A and the research on stock pledge, this paper also provides micro-evidence for an in-depth understanding of the effect of M&A goodwill on technological innovation. [ABSTRACT FROM AUTHOR]