in this work, we investigate the transfer of some homological properties from a ring $r$ to its amalgamated duplication along some ideal $i$ of $r$ $rbowtie i$, and then generate new and original families of rings with these properties.

for a ring endomorphism $alpha$ and an $alpha$-derivation $delta$, we introduce a concept, so called skew $pi$-armendariz ring, that is a generalization of both $pi$-armendariz rings, and $(alpha,delta)$-compatible skew armendariz rings. we first observe the basic properties of skew $pi$-armendariz rings, and extend the class of skew $pi$-armendariz rings through various ring extensions. we nex...

Moisture determination is of great importance in the production and use of many substances. For example, the moisture content can affect the efficiency of a chemical reaction or determine the shelf life of pharmaceuticals or foods. The standard method for moisture determination is Karl Fischer (KF) titration, based on either volumetry or coulometry. This thesis concerns new approaches to trace ...

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In his famous Bourbaki talk [2], Deligne described a recipe for attaching `-adic Galois representations to elliptic modular forms of integral weight at least 2. As a consequence of the method, one reduces the Ramanujan–Petersson conjecture to the validity of Weil’s Riemann Hypothesis for varieties over finite fields. There seems to exist no brief and precise outline of Deligne’s recipe in circu...

RENKIN, EUGENE M. Exchangeability of tissue potassium in skeletal muscle. Am. J. Physiol. 1g7(6): I~II-12 15. I g5g.-The quantity of ‘rapidly exchanging’ Kf in isolated, skeletal muscles of dogs was determined by measuring the back-diffusion of K42 during perfusion with blood containing this isotopic tracer. This quantity was not constant, but varied from da/$ to 88y0 of the total tissue K+. Th...

Most previous work in change detection on XML documents used the ordered tree, with the best complexity of O(nlogn), where n is the size of the document. The best algorithm we had ever known for unordered model achieves polynomial time in complexity. In this paper, we propose a highly efficient algorithm named KF-Diff+. The key property of our algorithm is that the algorithm transforms the trad...

A horizontal vibration isolation system utilizing displacement cancellation technique is studied both analytically and experimentally. The isolation and middle tables of the investigated vibration isolation system, involving displacement cancellation technique, are controlled by an infinite stiffness control and positive stiffness control, respectively. In this study, the dynamic characteristic...

The currently used “kinetic-fractionation” (KF) model of the differential incorporation of water-molecule isotopologues into vapor-grown ice omits surface processes on crystal facets that may be important in temperature reconstructions. This article introduces the “surface-kinetic” fractionation model, a model that includes such surface processes, and shows that differences in deposition coeffi...