Results 1 to 10 of about 227 (94)
Quotients of skew polynomial rings: New constructions of division algebras and MRD codes [PDF]
Journal of AlgebraWe achieve new results on skew polynomial rings and their quotients, including the first explicit example of a skew polynomial ring where the ratio of the degree of a skew polynomial to the degree of its bound is not extremal. These methods lead to the
F J Lobillo +2 more
exaly +2 more sources
, 2022 This paper discusses an abelian group, ring, and field under addition and multiplication of the binomial coefficients in combinatorial geometric series. The coefficient for each term in combinatorial geometric series refers to a binomial coefficient. This idea can enable the scientific researchers to solve the real life problems.
openaire +2 more sources
, 2006 In this book we define the new notion of neutrosophic rings. The motivation for this study is two-fold. Firstly, the classes of neutrosophic rings defined in this book are generalization of the two well-known classes of rings: group rings and semigroup ...
Vasantha, Kandasamy +2 more
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, 2002 Over the past 25 years, I have been immersed in research in Algebra and more particularly in ring theory. I embarked on writing this book on Smarandache rings (Srings) specially to motivate both ring theorists and Smarandache algebraists to develop and ...
Vasantha, Kandasamy
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A generalisation of Amitsur's A-polynomials [PDF]
, 2021 summary:We find examples of polynomials $f\in D[t;\sigma ,\delta ]$ whose eigenring $\mathcal {E}(f)$ is a central simple algebra over the field $F = C \cap \mathrm {Fix}(\sigma ) \cap \mathrm {Const}(\delta )$
Owen, Adam, Pumplün, Susanne
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Morfismos entre anillos semi-graduados y aplicaciones polinomiales
, 2023 ilustracionesIn this thesis, we study several kinds of morphisms between families of semi-graded rings with their corresponding polynomial applications.
Ramírez Cubillos, María Camila
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Pseudo-Sylvester domains and skew laurent polynomials over firs
, 2022 Building on recent work of Jaikin-Zapirain, we provide a homologicalcriterion for a ring to be a pseudo-Sylvester domain, that is, to admit adivision ring of fractions over which all stably full matrices becomeinvertible.
Henneke, F., López-Álvarez, D.
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On ordered division rings [PDF]
, 1952 summary:Prestel introduced a generalization of the notion of an ordering of a field, which is called a semiordering. Prestel’s axioms for a semiordered field differ from the usual (Artin-Schreier) postulates in requiring only the closedness of the domain
Idris, Ismail M., T. Szele
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Quotients of orders in algebras obtained from skew polynomials with applications to coding theory [PDF]
, 2018 We describe families of nonassociative finite unital rings that occur as quotients of natural nonassociative orders in generalized nonassociative cyclic division algebras over number fields.
Pumpluen, Susanne
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Simple artinian rings, hereditary rings and skew fields [PDF]
, 1984 In this dissertation, Cohn's methods for constructing skew fields from firs are extended to methods for constructing simple artinian rings from hereditary rings; the flexibility this gives is used in order to prove results about the skew field coproduct,
Schofield, Aidan Harry
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