Let V be a normal affine R-variety, and let S be a semi-algebraic subset of V (R) which is Zariski dense in V . We study the subring BV (S) of R[V ] consisting of the polynomials that are bounded on S. We introduce the notion of S-compatible completions of V , and we prove the existence of such completions when dim(V ) ≤ 2 or S = V (R). An S-compatible completionX of V yields a ring isomorphism...

Leukocytes with ring-shaped nuclei (ring cells) are present in bone marrow (BM; approximately 50% of BM cells), in peripheral blood (PB), and in inflammatory infiltrates of mice, but also in humans during myeloproliferative disorders. They are usually referred to as polymorphonuclear cells (PMN), but we demonstrate that they additionally encompass different types of mononuclear (MNC)-like ring ...

Sets of zero-dimensional ideals in the polynomial ring k[x,y] that share same leading term ideal with respect to a given ordering are known be affine spaces called Gröbner cells. Conca-Valla and Constantinescu parametrize such cells terms certain canonical Hilbert-Burch matrices for lexicographical degree-lexicographical orderings, respectively. In this paper, we give parametrization (x,y)-prim...

use of the double ring infiltrometer to measure soil water infiltration in center pivot irrigation systems isn’t an accurate approach because the real conditions of infiltration under center pivot sprinklers is different from what happens in the double ring. in this study the infiltration parameters were evaluated in real conditions of a center pivot system. for this purpose a single ring with ...

‎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.