Results 41 to 50 of about 5,453 (309)
International Journal of Mathematics and Mathematical Sciences, 2001 It is proved that a ring is periodic if and only if, for any elements x and y, there exist positive integers k,l,m, and n with either k≠m or l≠n, depending on x and y, for which xkyl=xmyn. Necessary and sufficient conditions are established for a ring to
Xiankun Du, Qi Yi
doaj +1 more source
Karpatsʹkì Matematičnì Publìkacìï, 2013 We establish that a pair of matrices, which determinants are primes powers, can be reduced over quadratic Euclidean ring $\mathbb{K}=\mathbb{Z}[\sqrt{k}]$ to their triangular forms with invariant factors on a main diagonal by using the common ...
N.B. Ladzoryshyn
doaj +1 more source
Cube-root-subgroups of SL2 over imaginary quadratic integers [PDF]
Computer Science Journal of Moldova, 2021 All cube roots of the identity in the special linear group of $2\times 2$-matrices with entries in the ring of integers in $\mathbb Q[\sqrt{d}]$ are described.
Miroslav Kures
doaj
KAROUBI’S RELATIVE CHERN CHARACTER, THE RIGID SYNTOMIC REGULATOR, AND THE BLOCH–KATO EXPONENTIAL MAP
Forum of Mathematics, Sigma, 2014 We construct a variant of Karoubi’s relative Chern character for smooth separated schemes over the ring of integers in a $\def \xmlpi #1{}\def \mathsfbi #1{\boldsymbol {\mathsf {#1}}}\let \le
GEORG TAMME
doaj +1 more source
, 2005 In this paper, we study the concept of Smarandache groupoids, subgroupoids, ideal of groupoids, semi-normal subgroupoids, Smarandache-Bol groupoids and Strong Bol groupoids and obtain many interesting results about ...
Vasantha Kandasamy, W.B.
core +1 more source
Modules over group rings of groups with restrictions on the system of all proper subgroups [PDF]
International Journal of Group Theory, 2015 We consider the class M of R{modules where R is an associative ring. Let A be a module over a group ring RG, G be a group and let L(G) be the set of all proper subgroups of G. We suppose that if H 2 L(G) then A=CA(H) belongs to M. We study an RG{module A
Olga Dashkova
doaj
Notes on the divisibility of GCD and LCM Matrices
International Journal of Mathematics and Mathematical Sciences, 2005 Let S={x1,x2,…,xn} be a set of positive integers, and let f be an arithmetical function. The matrices (S)f=[f(gcd(xi,xj))] and [S]f=[f(lcm [xi,xj])] are referred to as the greatest common divisor (GCD) and the least common multiple (LCM) matrices on S ...
Pentti Haukkanen, Ismo Korkee
doaj +1 more source
On the Fueter Model and Monogeneity of Rings of Integers
Journal of Number Theory, 1993 Let \(L/M\) be an extension of number fields. It is said that \(L\) is monogenic over \(M\) if \({\mathfrak D}_ L={\mathfrak D}_ M[\alpha]\) for some \(\alpha\in {\mathfrak D}_ L\), where \({\mathfrak D}_ L\) denotes the ring of integers in \(L\). Let \(K\) be an imaginary quadratic field in which 2 splits. For an integral ideal \({\mathfrak f}\) let \(
Srivastav, A., Venkataraman, S.
openaire +1 more source
Annals of Clinical and Translational Neurology, EarlyView.ABSTRACT Objective Early risk stratification may support clinical decision‐making in spontaneous intracerebral hemorrhage (ICH). We aimed to develop and internally validate HAGIV, a score integrating frequency of imaging markers (FIM), a time‐adjusted non‐contrast computed tomography (CT) metric of hematoma expansion, with established predictors for 90‐
Lei Song +10 more
wiley +1 more source
Projective modules of group rings over quadratic number fields [PDF]
, 1994 Let K be a quadratic number field, Ok its ring of integers, and G a cyclic group of order prime p. In this thesis, we study the kernel group D(O(_K)G) and obtain a number of results concerning its order and structure. For K imaginary, we also investigate
Ahmed, Iftikhar
core