Abstract. In this article we revisit a problem regarding Bézout domains, namely, whether every Bézout domain is an elementary divisor domain. Elementary divisor domains where defined by Kaplansky [13] and generalized to rings with zero-divisors by Gillman and Henriksen [7]. Later, in [14] it was shown that a domain R is an elementary divisor domain if and only if every finitely presented R-modu...

We establish property (T) for a large class of groups graded by root systems, including elementary Chevalley groups and Steinberg groups of rank at least 2 over finitely generated commutative rings with 1. We also construct a group with property (T) which surjects onto all finite simple groups of Lie type and rank at least two.

in order to determine yield stability and evaluation of genotype × environment interaction, 20 spring bread wheat promising lines and varieties were studied in a randomized complete block design with three replications in four warm and dry stations (ahwaz, dezful, darab, & khorramabad) during 2002-2004. chamran cultivar was a check in two years trial. the results revealed that the grain yield o...

Let A be a unital maximal full algebra of operator fields with base space [0, 1] and fibre algebras {At}t∈[0,1]k . We show that the stable rank of A is bounded above by the quantity supt∈[0,1]ksr(C([0, 1] )⊗ At). Here the symbol “sr” means stable rank. Using the above estimate, we compute the stable ranks of the C-algebras of the (possibly higher rank) discrete Heisenberg groups.