‎Let $R$ be a ring with involution $*$‎. ‎An additive mapping $T:Rto R$ is called a left(respectively right) centralizer if $T(xy)=T(x)y$ (respectively $T(xy)=xT(y)$) for all $x,yin R$‎. ‎The purpose of this paper is to examine the commutativity of prime rings with involution satisfying certain identities involving left centralizers.

abstract. let $l$ be a lattice with the least element $0$. an element $xin l$ is a zero divisor if $xwedge y=0$ for some $yin l^*=lsetminus left{0right}$. the set of all zero divisors is denoted by $z(l)$. we associate a simple graph $gamma(l)$ to $l$ with vertex set $z(l)^*=z(l)setminus left{0right}$, the set of non-zero zero divisors of $l$ and distinct $x,yin z(l)^*$ are adjacent if and only...

The original version of this Article contained a typographical error in the spelling of the author Hongping Yin, which was incorrectly given as Honging Yin. This has now been corrected in the PDF and HTML versions of the Article. This work is licensed under a Creative Commons Attribution 4.0 International License. The images or other third party material in this article are included in the arti...

Fresh collections of Diplopoda from China contain five new species of the large, East Asian, warm temperate to subtropical genus Riukiaria: R. martensi sp. nov., from Shaanxi Province, as well as R. belousovi sp. nov., R. kabaki sp. nov., R. korolevi sp. nov. and R. davidiani sp. nov. from Sichuan Province. A key is given to all eight Riukiaria species currently known to occur in mainland China...

A new stem bythinine in Cretaceous Burmese amber and early evolution of specialized predatory behaviour in pselaphine rove beetles (Coleoptera: Staphylinidae) Zi-Wei Yin, Joseph Parker, Chen-Yang Cai, Di-Ying Huang & Li-Zhen Li To cite this article: Zi-Wei Yin, Joseph Parker, Chen-Yang Cai, Di-Ying Huang & Li-Zhen Li (2017): A new stem bythinine in Cretaceous Burmese amber and early evolution o...

Title: Dihydroisotanshinone I combined with radiation inhibits the migration ability of prostate cancer cells through DNA damage and CCL2 pathway Authors: I-Yun Lee (ynalee@cgmh.org.tw) Yin-Yin Lin (lin645@cgmh.org.tw) Yao-Hsu Yang (r95841012@cgmh.org.tw) Yu-Shin Lin (yohimba@cgmh.org.tw) Chun-Liang Lin (linchunliang@cgmh.org.tw) Wei-Yu Lin (lwy0912@cgmh.org.tw) Yu-Ching Cheng (a8890927@gmail.c...

We investigate some algorithmic and mathematical aspects of Yin-Yang/Shiromaru-Kuromaru puzzles. Specifically, we discuss two algorithms for solving arbitrary Yin-Yang puzzles, namely the exhaustive search approach prune-and-search technique. show that both have an identical asymptotic running time O(max{mn, 2^(mn−h)}) finding all solutions a instance with h hints size m x n. Nevertheless, our ...