The notion of strict closedness rings was given by J. Lipman [Amer. Math. 93 (1971), pp. 649–685] in connection with a conjecture O. Zariski. present purpose is to give practical method construction strictly closed rings. It also shown that the Stanley-Reisner simplicial complexes (resp. $F$-pure satisfying condition $(\operatorname {S}_2)$ Serre) are weakly Arf)

The aim of the present paper is to provide a metalogical systematisation in the area of deontic action logic based on Boolean algebra. Differences among the systems in question lie in two aspects: the level of closedness of a deontic action logic and the possibility of performing no action at all. It is also shown that the existing definitions of obligation in those systems are not acceptable d...

Let H be the general, reduced Heisenberg group. Our main result establishes the inverse-closedness of a class of integral operators acting on Lp(H), given by the off-diagonal decay of the kernel. As a consequence of this result, we show that if α1I+Sf , where Sf is the operator given by convolution with f , f ∈ Lv(H), is invertible in B(Lp(H)), then (α1I + Sf )−1 = α2I + Sg, and g ∈ Lv(H). We p...

Semiuniform convergence spaces form a common generalization of lter spaces (including symmetric convergence spaces and thus symmetric topological spaces] as well as Cauchy spaces) and uniform limit spaces (including uniform spaces) with many convenient properties such as cartesian closedness, hereditariness and the fact that products of quotients are quotients. Here, for each semiuniform conver...

In this paper we discuss an extension of Partial Deduction in the framework of structured logic programs. The class of programs we consider includes statically configured systems such as blockand inheritance-based systems, as well as more dynamic configurations which support hypothetical reasoning and viewpoints. We show that the basic Partial Deduction definition can be extended to deal with a...

We show that the recent results on the Fundamental Theorem of Asset Pricing and the super-hedging theorem in the context of model uncertainty can be extended to the case in which the options available for static hedging (hedging options) are quoted with bid-ask spreads. In this set-up, we need to work with the notion of robust no-arbitrage which turns out to be equivalent to no-arbitrage under ...

Multi-species reaction-diffusion systems, with nearest-neighbor interaction on a one-dimensional lattice are considered. Necessary and sufficient constraints on the interaction rates are obtained, that guarantee the closedness of the time evolution equation for E n(t)’s, the expectation value of the product of certain linear combination of the number operators on n consecutive sites at time t. ...

This study analyzed patients’ perceptions of their physicians’ willingness to engage in interaction and be open, and patients’ satisfaction in communication about health with their physicians (N=322). Results indicated that a moderate to strong and significant positive correlation exists between patients’ perceptions of their physician’s interaction involvement and their satisfaction with their...