Results 1 to 10 of about 618,764 (219)

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
doaj   +3 more sources

On Local Rings [PDF]

Al-Rafidain Journal of Computer Sciences and Mathematics, 2014
A ring R is called local ring if it has exactly one maximal ideal. In this paper, we introduce some characterization and basic properties of this ring. Also, we studied the relation between local rings and Von Neumann regular rings and strongly regular ...
Zubayda Ibraheem, Anees Fthee
doaj   +2 more sources

Algebraicity in local rings [PDF]

Journal of Mathematical Sciences, 2009
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
I. Kachkovski
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On Linear Codes over Finite Singleton Local Rings

Mathematics
The study of linear codes over local rings, particularly non-chain rings, imposes difficulties that differ from those encountered in codes over chain rings, and this stems from the fact that local non-chain rings are not principal ideal rings.
Sami Alabiad, Alhanouf Ali Alhomaidhi, Nawal A. Alsarori   +2 more
doaj   +3 more sources

Constacyclic codes over finite local Frobenius non-chain rings of length 5 and nilpotency index 4

Analele Stiintifice ale Universitatii Ovidius Constanta: Seria Matematica, 2020
The family of finite local Frobenius non-chain rings of length 5 and nilpotency index 4 is determined, as a by-product all finite local Frobenius non-chain rings with p5 elements (p a prime) and nilpotency index 4 are given.
Castillo-Guillén C. A., Rentería-Márquez C.   +1 more
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Frobenius Local Rings of Length 5 and Index of Nilpotency 3

Mathematics
This paper investigates finite local non-chain rings associated by the well-known invariants p,n,m,l, and k, where p is a prime number. In particular, we provide a comprehensive characterization of Frobenius local rings of length l=5 and index of ...
Sami Alabiad, Alhanouf Ali Alhomaidhi
doaj   +3 more sources

Finite Local Rings of Length 4

Axioms
This paper presents a comprehensive characterization of finite local rings of length 4 and with residue field Fpm, where p is a prime number. Such rings have an order of p4m elements.
Sami Alabiad, Alhanouf Ali Alhomaidhi, Nawal A. Alsarori   +2 more
doaj   +3 more sources

Does local anaesthetic reduce pain in rubber ring castration of neonatal lambs? [PDF]

Veterinary Evidence
PICO Question In lambs less than 7 days old undergoing castration with rubber rings does administration of local anaesthetic compared to no local anaesthetic result in a reduction of pain-related behaviours?
Hannah Higgins
doaj   +2 more sources

Full Classification of Finite Singleton Local Rings

Axioms
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   +3 more sources

Local rings with noetherian filtrations [PDF]

Pacific Journal of Mathematics, 1971
Chin-Pi Lu
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