Zobrazeno 1 - 10
of 32
pro vyhledávání: '"Yousef Alkhamees"'
Autor:
Sami Alabiad, Yousef Alkhamees
Publikováno v:
Axioms, Vol 13, Iss 5, p 290 (2024)
The main objective of this article is to classify all finite singleton local rings, which are associative rings characterized by a unique maximal ideal and a distinguished basis consisting of a single element. These rings are associated with four pos
Externí odkaz:
https://doaj.org/article/10e9146c98364ab18801992ad2221613
Autor:
Yousef Alkhamees, Badr Alhajouj
Publikováno v:
AIMS Mathematics, Vol 7, Iss 9, Pp 15824-15833 (2022)
The structure of a finite chain ring has already been described by Wirt in 1972 and others later. The purpose of this article is to describe another structure of a finite chain ring as a ring of square matrices over Galois ring using the companion ma
Externí odkaz:
https://doaj.org/article/5418350409054ae985f159013314f5c5
Autor:
Sami Alabiad, Yousef Alkhamees
Publikováno v:
AIMS Mathematics, Vol 7, Iss 2, Pp 1742-1757 (2022)
Let $ R $ be a finite commutative chain ring with invariants $ p, n, r, k, m. $ It is known that $ R $ is an extension over a Galois ring $ GR(p^n, r) $ by an Eisenstein polynomial of some degree $ k $. If $ p\nmid k, $ the enumeration of such rings
Externí odkaz:
https://doaj.org/article/32c6f550538d4e769597bc1c8387665d
Autor:
Yousef Alkhamees, Sami Alabiad
Publikováno v:
AIMS Mathematics, Vol 7, Iss 4, Pp 5106-5116 (2022)
An associative Artinian ring with an identity is a chain ring if its lattice of left (right) ideals forms a unique chain. In this article, we first prove that for every chain ring, there exists a certain finite commutative chain subring which charact
Externí odkaz:
https://doaj.org/article/a2bfdf326e984fc9b598a51a00fae423
Publikováno v:
Symmetry, Vol 15, Iss 8, p 1482 (2023)
Suppose R is a finite chain ring with invaraints p,n,r,k,k′,m. Suppose G is also the subset of all φ∈ Aut(R), the automorphism group of R, such that φ(πk′)=πk′, where π is a generator of the maximal ideal of R. It was found that G is a g
Externí odkaz:
https://doaj.org/article/546872952d49417c965bca8abb4e5788
Autor:
Sami Alabiad, Yousef Alkhamees
Publikováno v:
Symmetry, Vol 15, Iss 3, p 720 (2023)
Let R be a finite commutative chain ring with invariants p,n,r,k,m. The purpose of this article is to study j-diagrams for the one group H=1+J(R) of R, where J(R)=(π) is Jacobson radical of R. In particular, we prove the existence and uniqueness of
Externí odkaz:
https://doaj.org/article/5c7df67e93434d239dc4aa6b912feee3
Autor:
Yousef Alkhamees, Sami Alabiad
Publikováno v:
Mathematics, Vol 10, Iss 21, p 4040 (2022)
A local ring is an associative ring with unique maximal ideal. We associate with each Artinian local ring with singleton basis four invariants (positive integers) p,n,s,t. The purpose of this article is to describe the structure of such rings and cla
Externí odkaz:
https://doaj.org/article/1ab5c44a76554ac1afc6ac140858f309
Autor:
Sami Alabiad, Yousef Alkhamees
Publikováno v:
Axioms, Vol 11, Iss 10, p 519 (2022)
Let R be a Galois ring, GR(pn,r), of characteristic pn and of order pnr. In this article, we study cyclic codes of arbitrary length, N, over R. We use discrete Fourier transform (DFT) to determine a unique representation of cyclic codes of length, N,
Externí odkaz:
https://doaj.org/article/0c77bb66dcb543b78fe33f890ef0d8f6
Autor:
Sami Alabiad, Yousef Alkhamees
Publikováno v:
Axioms, Vol 10, Iss 4, p 303 (2021)
Let R be a finite commutative chain ring of characteristic p with invariants p,r, and k. In this paper, we study λ-constacyclic codes of an arbitrary length N over R, where λ is a unit of R. We first reduce this to investigate constacyclic codes of
Externí odkaz:
https://doaj.org/article/e3d735a51499450390fd32bd36c31b82
Autor:
Sami Alabiad, Yousef Alkhamees
Publikováno v:
Symmetry, Vol 13, Iss 4, p 681 (2021)
A finite ring with an identity is a chain ring if its lattice of left ideals forms a unique chain. Let R be a finite chain ring with invaraints p,n,r,k,k′,m. If n=1, the automorphism group Aut(R) of R is known. The main purpose of this article is t
Externí odkaz:
https://doaj.org/article/6bbc2e3fc4e745328c044e809081c3aa