Results 31 to 40 of about 36,092 (214)
Module structures and filters on semihoops [PDF]
Journal of Mahani Mathematical ResearchIn 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
Decompositions of torsion-free abelian groups [PDF]
Journal of Algebra, 2019 All groups in this review are abelian and torsion-free. Some concepts like near-isomorphism, sufficient-isomorphism, mono-equivalence, main decomposition, the length of a decomposition, strongly-separable groups, quasi-separable groups, \(\tau\)-homogeneous groups, \(\tau\)-clipped groups for any type \(\tau\) and various kinds of types have been ...
Gábor Braun +2 more
openaire +2 more sources
The $L^2$-torsion polytope of amenable groups
, 2018 We introduce the notion of groups of polytope class and show that torsion-free amenable groups satisfying the Atiyah Conjecture possess this property. A direct consequence is the homotopy invariance of the $L^2$-torsion polytope among $G$-CW-complexes ...
Funke, Florian
core +1 more source
Uniquely Transitive Torsion-Free Abelian Groups
, 2004 We will answer a question raised by Emmanuel Dror Farjoun concerning the existence of torsion-free abelian groups G such that for any ordered pair of pure elements there is a unique automorphism mapping the first element onto the second one. We will show the existence of such a group of cardinality lambda for any successor cardinal lambda=mu^+ with mu ...
Göbel, Rüdiger, Shelah, Saharon
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. +2 more
doaj +1 more source
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
Vector bundles on bielliptic surfaces: Ulrich bundles and degree of irrationality
Mathematische Nachrichten, EarlyView.Abstract This paper deals with two problems about vector bundles on bielliptic surfaces. The first is to give a classification of Ulrich bundles on such surfaces S$S$, which depends on the topological type of S$S$. In doing so, we study the weak Brill–Noether property for moduli spaces of sheaves with isotropic Mukai vector. Adapting an idea of Moretti
Edoardo Mason
wiley +1 more source
E-transitive torsion-free abelian groups
Journal of Algebra, 1987 The author extends the well-known notion of a strongly homogeneous group G, an abelian group with Aut G acting transitively on the pure rank-one subgroups of G, to E-transitive groups. In this case the endomorphism ring \(E=End G\) acts transitive on the pure rank-one subgroups.
openaire +2 more sources
Holonomy Groups of Complete Flat Pseudo-Riemannian Homogeneous Spaces
, 2012 We show that a complete flat pseudo-Riemannian homogeneous manifold with non-abelian linear holonomy is of dimension at least 14. Due to an example constructed in a previous article by Oliver Baues and the author, this is a sharp bound.
Baues +8 more
core +1 more source
Local equivalence and refinements of Rasmussen's s‐invariant
Journal of Topology, Volume 19, Issue 1, March 2026.Abstract Inspired by the notions of local equivalence in monopole and Heegaard Floer homology, we introduce a version of local equivalence that combines odd Khovanov homology with equivariant even Khovanov homology into an algebraic package called a local even–odd (LEO) triple.
Nathan M. Dunfield +2 more
wiley +1 more source