Results 71 to 80 of about 1,200,355 (273)

Noncommutative Gröbner Bases over Rings

Communications in Algebra, 2014
In this work, it is proposed a method for computing Noncommutative Gr\"obner bases over a valuation n{\oe}therian ring. We have generalized the fundamental theorem on normal forms over an arbitrary ring. The classical method of dynamical commutative Gr\"obner bases is generalized for Buchberger's algorithm over $R=\mathcal{V}$ a free associative ...
Bouesso, André Mialebama, Sow, Djiby
openaire   +2 more sources

Twists of twisted generalized Weyl algebras

Bulletin of the London Mathematical Society, Volume 57, Issue 9, Page 2680-2697, September 2025.
Abstract We study graded twisted tensor products and graded twists of twisted generalized Weyl algebras (TGWAs). We show that the class of TGWAs is closed under these operations assuming mild hypotheses. We generalize a result on cocycle equivalence among multiparameter quantized Weyl algebras to the setting of TGWAs.
Jason Gaddis, Daniele Rosso
wiley   +1 more source

On Weakly (2, ϱ)-Ideals in Noncommutative Rings

Journal of Mathematics
In this paper, we investigate weakly 2,ϱ-ideals (w-2,ϱ-ideals) in noncommutative rings, where ϱ denotes a special radical. We demonstrate, supported by counterexamples, that these ideals serve as generalizations of weakly ϱ-ideals and 2,ϱ-ideals ...
Hatice Çay
doaj   +1 more source

Noncommutative rings of order p4

Journal of Pure and Applied Algebra, 1994
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Derr, J.B., Orr, G.F., Peck, Paul S.
openaire   +1 more source

Prime fuzzy ideals over noncommutative rings [PDF]

Fuzzy Sets and Systems, 2012
Section 1 has been rewritten, corrected typos, added ...
Navarro, Gabriel, Cortadellas, Oscar, Lobillo, F. J.   +2 more
openaire   +3 more sources

Functorial constructions related to double Poisson vertex algebras

Journal of the London Mathematical Society, Volume 112, Issue 3, September 2025.
Abstract For any double Poisson algebra, we produce a double Poisson vertex algebra using the jet algebra construction. We show that this construction is compatible with the representation functor which associates to any double Poisson (vertex) algebra and any positive integer a Poisson (vertex) algebra.
Tristan Bozec, Maxime Fairon, Anne Moreau   +2 more
wiley   +1 more source

Cyclic Codes over a Non-Commutative Non-Unital Ring

Mathematics
In this paper, we investigate cyclic codes over the ring E of order 4 and characteristic 2 defined by generators and relations as E=⟨a,b∣2a=2b=0,a2=a,b2=b,ab=a,ba=b⟩. This is the first time that cyclic codes over the ring E are studied.
Adel Alahmadi, Malak Altaiary, Patrick Solé   +2 more
doaj   +1 more source

Determinants as Combinatorial Summation Formulas over an Algebra with a Unique $n$-ary Operation

Известия Иркутского государственного университета: Серия "Математика", 2018
Since the late 1980s the author has published a number of results on matrix functions, which were obtained using the generating functions, mixed discriminants (mixed volumes in $\mathbb R^n$), and the well-known polarization theorem (the most general ...
G.P. Egorychev
doaj   +1 more source

Langlands reciprocity for the even dimensional noncommutative tori

, 2010
We conjecture an explicit formula for the higher dimensional Dirichlet character; the formula is based on the K-theory of the so-called noncommutative tori. It is proved, that our conjecture is true for the two-dimensional and one-dimensional (degenerate)
Nikolaev, Igor
core   +1 more source

Noncommutative convexity in matricial *-rings [PDF]

, 2021
Ali Ebrahimi Meymand
openalex   +1 more source