In this paper, we show the existence of attached comultiplication structure on $\operatorname{Hom}_{eAe}(eA,D(Ae))$ if an $(eAe,A)$-bimodule $eA$ has double centraliser property over algebra $A$ with idempotent $e$. Then apply it gendo-Gorenstein algebras. As applications, give a sufficient and necessary condition for to be Gorenstein, bocs-theoretic characterisation property.

conclusions acute and chronic administration of ellagic acid had anxiolytic property. also, the most effective dose of ellagic acid was 30 mg/kg. pretreatment with flumazenil reversed the beneficial effect of ellagic acid and diazepam on anxiety. it is likely that the anxiolytic effect of ellagic acid is largely mediated by activation of gabaa receptor. results acute and chronic application of ...

Though critics of traditional epistemology agree that we need to account for the role that social factors play in inquiry, developing a viable social epistemology has proved to be difficult. According to Helen Longino, it is the processes that make inquiry possible that are social, for they require a number of people to sustain them. These processes facilitate inquiry, and ensure that the resul...

We introduce the concept of (EA) property and occasional w-compatibility for hybrid pair F : X × X → 2 (X) and f : X → X. We also introduce common (EA) property for two hybrid pairs F, G : X → 2 (X) and f, g : X → X. We establish some common coupled fixed point theorems for two hybrid pairs of mappings under φ-ψ contraction on noncomplete metric spaces. An example is also given to validate our ...

A singular masa A in a II1 factor N is defined by the property that any unitary w ∈ N for which A = wAw∗ must lie in A. A strongly singular masa A is one that satisfies the inequality ‖EA − EwAw∗‖∞,2 ≥ ‖w − EA(w)‖2 for all unitaries w ∈ N , where EA is the conditional expectation of N onto A, and ‖ · ‖∞,2 is defined for bounded maps φ : N → N by sup{‖φ(x)‖2 : x ∈ N, ‖x‖ ≤ 1}. Strong singularity...

A singular masa A in a II1 factor N is defined by the property that any unitary w ∈ N for which A = wAw∗ must lie in A. A strongly singular masa A is one that satisfies the inequality ‖EA − EwAw∗‖∞,2 ≥ ‖w − EA(w)‖2 for all unitaries w ∈ N , where EA is the conditional expectation of N onto A, and ‖ · ‖∞,2 is defined for bounded maps φ : N → N by sup{‖φ(x)‖2 : x ∈ N, ‖x‖ ≤ 1}. Strong singularity...

Extended weighted pushdown systems (EWPDSs) are an extension of pushdown systems that incorporate infinite-state data abstractions. Nested-word automata (NWAs) are able to recognize languages that exhibit context-free properties, while retaining many of the decidability properties of finite automata. We study property checking of programs where the program model is an EWPDS and the property is ...

We characterize pairs of convex sets A, Bin the k-dimensional space with the property that every probability distribution (p 1 ,. • • , P~<) has a repsesentation p, =a;· b;, a EA, bE B. Minimal pairs with this property are antiblocking pairs of convex corners. This result is closely related to a new entropy concept. The main application is an information theoretic characterization of perfect gr...

A common fixed point theorem using EA-property for four weakly compatible maps is obtained in the setting of Gmetric spaces without exploiting the notion of continuity. Our results generalize the results of Abbas and Rhoades[7], and Manro et. al.[11]. Moreover, we show that these maps satisfy property R. Applications to certain intergral equations and functional equations are also obtained.