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Finite Commutative Chain Rings

open access: yesFinite Fields and Their Applications, 2001
A commutative ring with unit is called a chain ring if all its ideals form a chain under inclusion. All finite chain rings can be obtained in the following way: Let \(p\) be a prime, \(n,r>0\), \(f\in \mathbb{Z}_{p^n}[X]\) a monic polynomial, \(\deg(f)=r\) whose image in \(\mathbb{Z}_p[X]\) is irreducible and let \(\text{GR} (p^n,r): =\mathbb{Z}_{p^n ...
openaire   +1 more source

Monopole-antimonopole chains and vortex rings [PDF]

open access: yesPhysical Review D, 2004
We consider static axially symmetric solutions of SU(2) Yang-Mills-Higgs theory. The simplest such solutions represent monopoles, multimonopoles and monopole-antimonopole pairs. In general such solutions are characterized by two integers, the winding number m of their polar angle, and the winding number n of their azimuthal angle.
Kleihaus, Burkhard   +2 more
openaire   +2 more sources

On Multiplicative Matrix Channels over Finite Chain Rings

open access: yes, 2013
Motivated by physical-layer network coding, this paper considers communication in multiplicative matrix channels over finite chain rings. Such channels are defined by the law $Y =A X$, where $X$ and $Y$ are the input and output matrices, respectively ...
Feng, Chen   +3 more
core   +1 more source

LIFTED CODES OVER FINITE CHAIN RINGS [PDF]

open access: yes, 2011
In this paper, we study lifted codes over finite chain rings.
Dougherty, Steven T.   +2 more
core   +1 more source

Full Classification of Finite Singleton Local Rings

open access: yesAxioms
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.
Sami Alabiad, Yousef Alkhamees
doaj   +1 more source

1,3,5-Tri-p-tolylpentane-1,5-dione

open access: yesActa Crystallographica Section E, 2008
In the crystal structure of the title compound, C26H26O2, the dihedral angle between the tolyl rings at each end of the 1,5-dione chain is 70.3 (1)°; the tolyl group at the middle of the chain makes dihedral angles of 67.8 (2) and 85.1 ...
You-Liang Shen
doaj   +1 more source

Molecular Dynamics Simulation Study of Nonconcatenated Ring Polymers in a Melt: I. Statics

open access: yes, 2011
Molecular dynamics simulations were conducted to investigate the structural properties of melts of nonconcatenated ring polymers and compared to melts of linear polymers.
Alexander Y. Grosberg   +11 more
core   +2 more sources

Commutative Chain Rings with Index of Nilpotency 5 and Residue Field Fpm

open access: yesAxioms
This paper gives a thorough characterization of chain rings with index of nilpotency 5 and residue field Fpm, where p represents a prime number, contributing valuable insights to the field of algebraic structures.
Alhanouf Ali Alhomaidhi   +2 more
doaj   +1 more source

Spatiotemporal and quantitative analyses of phosphoinositides – fluorescent probe—and mass spectrometry‐based approaches

open access: yesFEBS Letters, EarlyView.
Fluorescent probes allow dynamic visualization of phosphoinositides in living cells (left), whereas mass spectrometry provides high‐sensitivity, isomer‐resolved quantitation (right). Their synergistic use captures complementary aspects of lipid signaling. This review illustrates how these approaches reveal the spatiotemporal regulation and quantitative
Hiroaki Kajiho   +3 more
wiley   +1 more source

Chain rings and distributive rings

open access: yesMatemática Contemporânea, 1994
The author reports on joint work with \textit{G. Törner} [see f.e. Proc. Am. Math. Soc. 119, No. 2, 401-405 (1993; Zbl 0810.16020)].
openaire   +2 more sources

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