Results 21 to 30 of about 14,989 (253)

Factorial design and abelian groups [PDF]

, 1985
The theory of finite Abelian groups is used to simplify the search for, and construction of, factorial ...
Bailey, Rosemary Anne, Bailey, R. A., Bailey, R.A.   +2 more
core   +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  

On p-Adic Estimates of Weights in Abelian Codes over Galois Rings [PDF]

, 2005
Let p be a prime. We prove various analogues and generalizations of McEliece's theorem on the p-divisibility of weights of words in cyclic codes over a finite field of characteristic p. Here we consider Abelian codes over various Galois rings.
Katz, Daniel Jerome
core   +1 more source

Utumi Abelian groups

Rendiconti del Seminario Matematico della Università di Padova, 2023
In a recent paper written by Y. Ibrahim and M. Yousif (2018), the following class of modules is considered: a right R -module M is called a Utumi
Călugăreanu, Grigore, Das, Soumitra
openaire   +2 more sources

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, Anna Giordano Bruno, Daniele Impieri   +2 more
doaj   +1 more source

Convergent nets in abelian topological groups

International Journal of Mathematics and Mathematical Sciences, 2001
A net in an abelian group is called a T-net if there exists a Hausdorff group topology in which the net converges to 0. This paper describes a fundamental system for the finest group topology in which the net converges to 0.
Robert Ledet
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

Commutators and abelian groups [PDF]

Journal of the Australian Mathematical Society, 1977
AbstractIf G is a group, then K(G) is the set of commutators of elements of G. C is the class of groups such that G′ = K(G) is the minimal cardinality of any generating set of dG. We prove: Theorem A. Let G be a nilpotent group of class two such that G' is finite and d(G′) < 4.Then G < G.Theorm B.
openaire   +2 more sources

Tame logarithmic signatures of abelian groups

Journal of Mathematical Cryptology, 2017
The security of the asymmetric cryptosystem MST1{{}_{1}} relies on the hardness of factoring group elements with respect to a logarithmic signature. In this paper we investigate the factorization problem with respect to logarithmic signatures of abelian ...
Reichl Dominik
doaj   +1 more source

Complementary dual abelian codes in group algebras of some finite abelian groups [PDF]

ITM Web of Conferences
Linear complementary dual codes have become an interesting sub-family of linear codes over finite fields since they can be practically applied in various fields such as cryptography and quantum error-correction. Recently, properties of complementary dual
Jitman Somphong
doaj   +1 more source