Results 1 to 10 of about 307,395 (140)
On Automorphisms of Chain Rings
Symmetry, 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 group that is, in some sense, the set of all symmetries of {πk′}.
Sami Alabiad +2 more
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1,5-Bis(4-nitrophenoxy)pentane [PDF]
Acta Crystallographica Section E, 2009 The title compound, C17H18N2O6, crystallizes with two molecules in the asymmetric unit. In both molecules, one of the C—C bonds of the pentamethylene chain connecting the two aromatic rings is in a trans conformation and another displays a ...
Humaira M. Siddiqi +4 more
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Determinants of some special matrices over commutative finite chain rings
Special Matrices, 2020 Circulant matrices over finite fields and over commutative finite chain rings have been of interest due to their nice algebraic structures and wide applications. In many cases, such matrices over rings have a closed connection with diagonal matrices over
Jitman Somphong
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On Hamming Distance Distributions of Repeated-Root Cyclic Codes of Length 5ps Over Fp m + uFp m
IEEE Access, 2022 Let $p\not =5$ be any odd prime. Using the algebraic structures of all cyclic codes of length $5p^{s}$ over the finite commutative chain ring ${\mathcal{ R}}=\mathbb F_{p^{m}}+u\mathbb F_{p^{m}}$ , in this paper, the exact values of Hamming ...
Hai Q. Dinh +3 more
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On Symbol-Pair Distance of a Class of Constacyclic Codes of Length 3ps over
Axioms, 2023 Let p≠3 be any prime. In this paper, we compute symbol-pair distance of all γ-constacyclic codes of length 3ps over the finite commutative chain ring R=Fpm+uFpm, where γ is a unit of R which is not a cube in Fpm.
Hai Q. Dinh +2 more
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The Structure of Local Rings with Singleton Basis and Their Enumeration
Mathematics, 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.
Yousef Alkhamees, Sami Alabiad
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On Symbol-Triple Distance of a Class of Constacyclic Codes of Length 3
IEEE Access, 2023 Let $p\not =3$ be any prime. In this paper, we completely determine symbol-triple distance of all $\gamma $ -constacyclic codes of length $3p^{s}$ over the finite commutative chain ring ${\mathcal{ R}}=\mathbb F_{p^{m}}+u\mathbb F_{p^{m}}$ , where
Hai Q. Dinh +3 more
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Extensions of chain rings [PDF]
Mathematische Zeitschrift, 1984 Die Verff. studieren nullteilerfreie Ringe, deren Rechtsidealverband durch Inklusion linear geordnet ist (rechte Kettenringe). Genauer untersuchen sie folgende Konstruktion: \(R_ 0\) sei ein rechter Kettenring, \(\sigma\) ein Monomorphismus und \(\delta\) eine \(\sigma\)- Derivation. Im Polynomring \(R_ 0[x,\sigma,\delta]\) mit \(xa=\sigma(a)x+\delta(a)
Törner, Günter, Brungs, Hans-Heinrich
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An unbroken ring of the chain of survival
Resuscitation, 2023 This is a commentary on the study conducted by Kennedy et al. from Victoria, Australia, that analyzed the cohort of all adult EMS-witnessed out-of-hospital cardiac arrest (OHCA) patients in the region and compared patients treated during the COVID-19 period to a historical comparator period.
Tatsuya Norii, Yutaka Igarashi
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Petroleum, 2022 The effects of the number of imidazoline ring and the length of alkyl group chain of imidazoline derivatives were investigated using quantum chemical calculation, molecular dynamics simulation and experimental techniques.
Chenfeng Zhang +5 more
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