Results 11 to 20 of about 11,644 (234)
Two Types of Non-Abelian Topological Phase Transitions Under Duality Mapping in 1D Photonic Chains. [PDF]
Adv Sci (Weinh)In this work, two types of non‐Abelian phase transitions are revealed. The first type is the braided‐node type, signified by the Dirac degeneracy node moving into or out of the unit circle. The second type corresponds to the emerging of nodal‐line degeneracy which intersects with unit circles.
Liu Y +6 more
europepmc +2 more sources
Non-Abelian Pseudocompact Groups
Axioms, 2016 Here are three recently-established theorems from the literature. (A) (2006) Every non-metrizable compact abelian group K has 2|K| -many proper dense pseudocompact subgroups.
W. W. Comfort, Dieter Remus
doaj +1 more source
Proceedings of the American Mathematical Society, 1959 The question of the existence of noninner, nonouter Abelian Galois groups of noncommutative rings seems not to have been considered previously. Amitsur [1 ] may have come closest when he constructed noninner, nonouter cyclic division ring extensions.
openaire +1 more source
Quasi-minimal abelian groups [PDF]
Proceedings of the American Mathematical Society, 2004 An abelian groupGGis said to bequasi-minimal (purely quasi-minimal, directly quasi-minimal)if it is isomorphic to all its subgroups (pure subgroups, direct summands, respectively) of the same cardinality asGG. Obviously quasi-minimality implies pure quasi-minimality which in turn implies direct quasi-minimality, but we show that neither converse ...
Goldsmith, Brendan +2 more
openaire +4 more sources
TΩ-sequences in abelian groups
International Journal of Mathematics and Mathematical Sciences, 2000 A sequence in an abelian group is called a T-sequence if there exists a Hausdorff group topology in which the sequence converges to zero. This paper describes the fundamental system for the finest group topology in which this sequence converges to zero ...
Robert Ledet, Bradd Clark
doaj +1 more source
non-divisibility for abelian groups
پژوهشهای ریاضی, 2022 Introduction In Throughout all groups are abelian. Suppose that G is a group and n is a positive integer. For a ∈ G, if we consider the solution of the equation nx = a in G, two subsets of G are proposed.
mohammad reza vedadi, yaser Tolooei
doaj
A Distinguished Subgroup of Compact Abelian Groups
Axioms, 2022 Here “group” means additive abelian group. A compact group G contains δ–subgroups, that is, compact totally disconnected subgroups Δ such that G/Δ is a torus.
Dikran Dikranjan +3 more
doaj +1 more source
Homomorphic Encoders of Profinite Abelian Groups II
Axioms, 2022 Let {Gi:i∈N} be a family of finite Abelian groups. We say that a subgroup G≤∏i∈NGi is order controllable if for every i∈N, there is ni∈N such that for each c∈G, there exists c1∈G satisfying c1|[1,i]=c|[1,i], supp(c1)⊆[1,ni], and order (c1) divides order (
María V. Ferrer, Salvador Hernández
doaj +1 more source
Annihilating Graph of Abelian Groups
پژوهشهای ریاضی, 2021 In [18], the author associated a graph to an R -module M which is precisely a generalization of annihilating ideal graph of a commutative ring, see [15] and [16]. Inasmuch as Abelian groups are precisely Z-modules, in this paper we relate an annihilating
saeed safaeeyan, Soraya Barzegar
doaj
Characterized Subgroups of Topological Abelian Groups
Axioms, 2015 A subgroup H of a topological abelian group X is said to be characterized by a sequence v = (vn) of characters of X if H = {x ∈ X : vn(x) → 0 in T}. We study the basic properties of characterized subgroups in the general setting, extending results known ...
Dikran Dikranjan +2 more
doaj +1 more source