Results 21 to 30 of about 252 (156)

Module structures and filters on semihoops [PDF]

Journal of Mahani Mathematical Research
In this paper, we study modules and filters on semihoops. Firstly, we introduce the definition of modules on semihoops and give some examples to illustrate it. Also, we get some significant results related to modules on semihoops. If the semihoop $G$ can
Hao Chen, Xiao Long Xin
doaj   +1 more source

On torsion-free abelian groups and Lie algebras [PDF]

Proceedings of the American Mathematical Society, 1958
It is known that many of the classes of simple Lie algebras of prime characteristic of nonclassical type have simple infinite-dimensional analogues of characteristic zero (see, for example, [4, p. 518]). We consider here analogues of those algebras which are defined by a modification of the definition of a group algebra.
openaire   +2 more sources

Neutrosophic Triplets in Neutrosophic Rings

Mathematics, 2019
The neutrosophic triplets in neutrosophic rings 〈 Q ∪ I 〉 and 〈 R ∪ I 〉 are investigated in this paper. However, non-trivial neutrosophic triplets are not found in 〈 Z ∪ I 〉 .
Vasantha Kandasamy W. B., Ilanthenral Kandasamy, Florentin Smarandache   +2 more
doaj   +1 more source

On transitivity-like properties for torsion-free Abelian groups

Forum Mathematicum, 2022
Abstract We study some close relationships between the classes of transitive, fully transitive and Krylov transitive torsion-free Abelian groups. In addition, as an application of the achieved assertions, we resolve some old-standing problems, posed by Krylov, Mikhalev and Tuganbaev in their monograph [P. A. Krylov, A. V. Mikhalev and A.
Chekhlov, Andrey R., Danchev, Peter V., Keef, Patrick W.   +2 more
openaire   +4 more sources

Some special classes of n-abelian groups [PDF]

International Journal of Group Theory, 2012
Let n be an integer. A group G is said to be n-abelian if the map phi_n that sends g to g^n is an endomorphism of G. Then (xy)^n=x^ny^n for all x,y in G, from which it follows [x^n,y]=[x,y]^n=[x,y^n]. It is also easy to see that a group G is n-abelian if
Costantino Delizia, Antonio Tortora
doaj  

Localizations of torsion-free abelian groups

Journal of Algebra, 2004
The author considers the localizations of torsion-free Abelian groups, more precisely, the localizations of free groups, of cotorsion-free groups, and of finite rank Butler groups. For Abelian groups \(A,B\) a homomorphism \(\alpha\colon A\to B\) is said to be a `localization' of \(A\) if, for all \(f\colon A\to B\), there is a unique \(\varphi\colon B\
openaire   +1 more source

Annihilator equivalence of torsion-free abelian groups [PDF]

Journal of the Australian Mathematical Society. Series A. Pure Mathematics and Statistics, 1992
AbstractWe define an equivalence relation on the class of torsion-free abelian groups under which two groups are equivalent ifevery pure subgroup of one has a non-zero image in the other, and each has a non-zero image in every torsion-free factor of the other.We study the closure properties of the equivalence classes, and the structural properties of ...
Schultz, P., Vinsonhaler, C., Wickless, W. J.   +2 more
openaire   +2 more sources

Kuga–Satake Construction on Families of K3 Surfaces of Picard Rank 14

Mathematische Nachrichten, EarlyView.
ABSTRACT The isometry between the type IV6 and the type II4 hermitian symmetric domains suggests a possible relation between suitable moduli spaces of K3 surfaces of Picard rank 14 and of polarized abelian 8‐folds with totally definite quaternion multiplication. We show how this isometry induces a geometrically meaningful map between such moduli spaces
Flora Poon
wiley   +1 more source

The Two Extremal Rays of Some Hyper–Kähler Fourfolds

Mathematische Nachrichten, EarlyView.
ABSTRACT We consider projective Hyper–Kähler manifolds of dimension 4 that are deformation equivalent to Hilbert squares of K3 surfaces. In case such a manifold admits a divisorial contraction, the exceptional divisor is a conic bundle over a K3 surface. A classification of lattice embeddings implies that there are five types of such conic bundles.
Federica Galluzzi, Bert van Geemen
wiley   +1 more source

The n-ary adding machine and solvable groups [PDF]

International Journal of Group Theory, 2013
We describe under a various conditions abelian subgroups of the automorphism group $Aut(T_n)$ of the regular $n$-ary tree $T_n$, which are normalized by the $n$-ary adding machine $tau=(e,dots, e,tau)sigma_tau$ where $sigma_tau$ is the $n$-cycle $(0, 1 ...
Josimar Da Silva Rocha, Said Sidki
doaj