in this paper, we study some ring theoretic properties of the amalgamated duplication ring $rbowtie i$ of a commutative noetherian ring $r$ along an ideal $i$ of $r$ which was introduced by d'anna and fontana. indeed, it is determined that when $rbowtie i$ satisfies serre's conditions $(r_n)$ and $(s_n)$, and when is a normal ring, a generalized cohen-macaulay ring and finally a filter ring.

This paper concerns the feasibility of collusive mechanisms. Our work presents a hybrid auction model which shows that the existence of an incentive compatible bid coordination mechanism is sensitive with respect to the form of information asymmetry between cartel members. We conclude that while a mechanism always exists in a neighborhood of the pure private value model, it fails to exist if th...

The characters of the (total) Springer representations afford Green functions, that can understood as generalizations Hall–Littlewood’s Q-functions. In this paper, we present a purely algebraic proof GL(n) are Ext-orthogonal to each other, and show it is compatible with natural categorification ring symmetric functions.

A complementary metal-oxide-semiconductor (CMOS)-compatible carrier-injection plasmonic micro-ring modulator (CIPMRM) is designed and analyzed theoretically. The CIPMRM has a compacted footprint of 49.3 μm2 (R = 2 μm), bit rate 36.5 Gbps, insertion loss −9.8 dB, static extinction ratio 21.7 energy consumption 4.40 pJ/bit as 2.2 V peak-to-peak voltage applied at 1550 nm. Besides, the method reso...

in this paper, we introduce a class of $j$-quasipolar rings. let $r$ be a ring with identity. an element $a$ of a ring $r$ is called {it weakly $j$-quasipolar} if there exists $p^2 = pin comm^2(a)$ such that $a + p$ or $a-p$ are contained in $j(r)$ and the ring $r$ is called {it weakly $j$-quasipolar} if every element of $r$ is weakly $j$-quasipolar. we give many characterizations and investiga...

An efficient approach for the synthesis of monosubstituted aromatic compounds relying on a ring-closing metathesis followed by spontaneous 1,2-elimination is presented. The efficiency late-stage functionalization highlighted in various solvents (up to 920 TON). This compatible with strained cycles and other multiple bonds substrate.

in this paper, we investigate various kinds of extensions of twin-good rings. moreover, we prove that every element of an abelian neat ring r is twin-good if and only if r has no factor ring isomorphic to z2  or z3. the main result of [24] states some conditions that any right self-injective ring r is twin-good. we extend this result to any regular baer ring r by proving that every element of a...

Disclosed are fused ring bridge, ring-locked dyes that form thermally stable photorefractive compositions. The fused ring bridge structures are x-conjugated bonds in benzene-, naphthaleneor anthracene-derived fused ring systems that connect donor and acceptor groups. The donor and acceptor groups contribute to a high molecular dipole moment and linear polarizability anisotropy. The polarization...