A full classification up to isomorphism of torsions in abelian group rings over an algebraically closed field of nonzero characteristic is given in the present article. Specifically, an explicit formula is established and so the problem is completely exhausted. This characterizing strengthens classical results in that aspect due to Chatzidakis-Pappas (J. London Math. Soc., 1991) and to the auth...

which is closely related to an integral given by Sonine.5 1 After P. A. M. Dirac, Proc. Roy. Soc. Lond., 113 (1927), 621. 2 Oeuvres, t. 1, p. 234. 3I. Fredholm, Acta. Math., 23 (1900), 1; Compt. Rend., 129 (1899), 32; Rend. Palermo, 25 (1908), 346. J. Le Roux, Compt. Rend., 137 (1903), 1230. N. Zeilon, Arkiv. Mat. Astr. och Fysik., 6 (1911), 9 (1914); Nov. Act. Soc. Sc. Upsaliensis, 4, (1919) 5...

Let G be a p-mixed abelian group with semi-complete torsion subgroup Gt such that G is splitting or is of torsion-free rank one, and let R be a commutative unitary ring of prime characteristic p. It is proved that the group algebras RG and RH are R-isomorphic for any group H if and only if G and H are isomorphic. This isomorphism relationship extends our earlier results in (Southeast Asian Bull...

Previous research has shown sketching to be useful to students solving math problems. The present study examines which aspects of middle school students’ sketching are related to, or predict, successfully answering math problems. The effects of individual differences in cognitive factors – working memory, spatial ability, and prior math knowledge – on answer accuracy are also analyzed. Stepwise...

Approximately 5% of the school-age population experiences mathematics disability (Badian, 1983; Gross-Tsur, Manor, & Shalev, 1996; Kosc, 1974). Despite its prevalence, math disability has been the focus of less systematic study than has reading disability (cf. Rasanen & Ahonen, 1995). This relative neglect is unfortunate, because mathematics skill is important for school success and accounts fo...

The present study focuses on math and related skills among 32 girls with fragile X (n = 14) or Turner (n = 18) syndrome during late elementary school. Performance in each syndrome group was assessed relative to Full Scale IQ–matched comparison groups of girls from the general population (n = 32 and n = 89 for fragile X syndrome and Turner syndrome, respectively). Differences between girls with ...

The present study focuses on math and related skills among 32 girls with fragile X (n = 14) or Turner (n = 18) syndrome during late elementary school. Performance in each syndrome group was assessed relative to Full Scale IQ-matched comparison groups of girls from the general population (n = 32 and n = 89 for fragile X syndrome and Turner syndrome, respectively). Differences between girls with ...

Research over the past twentyve years indicates that gender di erences in math achievement favoring males are not typically found prior to high school. In high school, di erences favoring males are common, particularly in the areas of problem solving and applications. The gender-related di erences in math achievement have been attributed to a number of variables, most notably, di erential cours...

begin{abstract} in this paper, we introduce an iterative method for amenable semigroup of non expansive mappings and infinite family of non expansive mappings in the frame work of hilbert spaces. we prove the strong convergence of the proposed iterative algorithm to the unique solution of a variational inequality, which is the optimality condition for a minimization problem. the results present...