A ring R is called right א0-injective if every right homomorphism from a countably generated right ideal of R to RR can be extended to a homomorphism from RR to RR. In this note, some characterizations of א0-injective rings are given. It is proved that if R is semiperfect, then R is right א0injective if and only if every homomorphism from a countably generated small right ideal of R to RR can b...

1 Description The method of Grr obner bases in commutative polynomial rings introduced by Buchberger (e.g. 1]) is a well-known and very important tool in polynomial ideal theory, for example in solving the ideal membership problem. XIDEAL extends the method to exterior algebras using algorithms from 2]. There are two main departures from the commutative polynomial case. First, owing to the non-...

‎Let $X=left(‎ ‎begin{array}{llll}‎ ‎ x_1 & ldots & x_{n-1}& x_n\‎ ‎ x_2& ldots & x_n & x_{n+1}‎ ‎end{array}right)$ be the Hankel matrix of size $2times n$ and let $G$ be a closed graph on the vertex set $[n].$ We study the binomial ideal $I_Gsubset K[x_1,ldots,x_{n+1}]$ which is generated by all the $2$-minors of $X$ which correspond to the edges of $G.$ We show that $I_G$ is Cohen-Macaula...

‎let $x=left(‎ ‎begin{array}{llll}‎ ‎ x_1 & ldots & x_{n-1}& x_n‎ ‎ x_2& ldots & x_n & x_{n+1}‎ ‎end{array}right)$ be the hankel matrix of size $2times n$ and let $g$ be a closed graph on the vertex set $[n].$ we study the binomial ideal $i_gsubset k[x_1,ldots,x_{n+1}]$ which is generated by all the $2$-minors of $x$ which correspond to the edges of $g.$ we show that...

BACKGROUND Peripheral nerve repair is often complicated by fibroblastic scar formation, nerve dysfunction, and traumatic neuroma formation. Use of silicone may improve outcomes of these repairs. In this study, we tried to evaluate effectiveness of silicone gel on rats’ sciatic nerve repair, axon regeneration and scar formation around and in the nervous tissues. METHODS This experimental stud...

background: colorectal cancer is a common and lethal disease with various distribution of incidence in different part of the world and it is known as the third most common cause of cancer death in the world. since several studies in the world represented different survival rates for colorectal cancer in this study we aimed to determine the survival of a group of iranian patients and some relate...

introduction: topographic anatomy of the tendons and ligaments in healthy cases provides a normal atlas to diagnose abnormalities. the aim of this study was to provide ultrasonography description of the palmar tendons and ligaments of the anatoly donkey. methods: the metacarpal regions of 6 healthy anatoly donkeys were prepared for ultrasonography and divided to 6 levels (1a, 1b, 2a, 2b, 3a, 3b...