Model structures on modules over Ding-Chen rings

An $n$-FC ring is a left and right coherent ring whose left and right self FP-injective dimension is $n$. The work of Ding and Chen in \cite{ding and chen 93} and \cite{ding and chen 96} shows that these rings possess properties which generalize those of $n$-Gorenstein rings. In this paper we call a (left and right) coherent ring with finite (left and right) self FP-injective dimension a Ding-Chen ring. In case the ring is Noetherian these are exactly the Gorenstein rings. We look at classes of modules we call Ding projective, Ding injective and Ding flat which are meant as analogs to Enochs' Gorenstein projective, Gorenstein injective and Gorenstein flat modules. We develop basic properties of these modules. We then show that each of the standard model structures on Mod-$R$, when $R$ is a Gorenstein ring, generalizes to the Ding-Chen case. We show that when $R$ is a commutative Ding-Chen ring and $G$ is a finite group, the group ring $R[G]$ is a Ding-Chen ring.Comment: 12 page

Comment on "Quantum discord through the generalized entropy in bipartite quantum states"

In [X.-W. Hou, Z.-P. Huang, S. Chen, Eur. Phys. J. D 68, 1 (2014)], Hou et al. present, using Tsallis' entropy, possible generalizations of the quantum discord measure, finding original results. As for the mutual informations and discord, we show here that these two types of quantifiers can take negative values. In the two qubits instance we further determine in which regions they are non-negative. Additionally, we study alternative generalizations on the basis of R\'enyi entropies.Comment: 5 pages, 4 figure

Final Exam: A Surgeon\u27s Reflections on Mortality (Book Review)

Book review of: Pauline W. Chen, M.D., Final Exam: A Surgeon\u27s Reflections on Mortality (Vintage Books), 1997. Reviewed February 2011 by Harvey Fenigsohn

Taiwan`s domestic politics since the presidential elections 2000

This paper looks at several developments that have taken place in domestic politics on Taiwan since the election of Chen Shui-bian as president of the Republic of China on Taiwan in 1998. After discussing the political successes and failures of the incumbent Chen administration, it analyses its strategy in dealing with the consequences of divided government. Some of the problems encountered by the administration are traced to changes in the political system of Taiwan that took place during the presidency of Lee Teng-hui. The paper also deals with the new role of the president as chief executive and functioning of the legislative. Finally, the reaction of the major political parties to the changes in the political situation is explored. --Taiwan,domestic politics,divided government,political system,party system,Chen Shui-bian,Lee Teng-hui

On the Inverse Problem Relative to Dynamics of the w Function

In this paper we shall study the inverse problem relative to dynamics of the w function which is a special arithmetic function and shall get some results.Comment: 11 page

Legislative Alert: Nomination of U.S. Magistrate Judge Edward M. Chen

[Excerpt] On behalf of the AFL-CIO, I am writing to urge you to support the nomination of U.S. Magistrate Judge Edward M. Chen to the U.S. District Court for the Northern District of California