Results 51 to 60 of about 1,179,667 (236)

Mass Formula for Self-Orthogonal and Self-Dual Codes over Non-Unital Rings of Order Four

Mathematics, 2023
We study the structure of self-orthogonal and self-dual codes over two non-unital rings of order four, namely, the commutative ring I=a,b|2a=2b=0,a2=b,ab=0 and the noncommutative ring E=a,b|2a=2b=0,a2=a,b2=b,ab=a,ba=b.
Adel Alahmadi, Altaf Alshuhail, Rowena Alma Betty, Lucky Galvez, Patrick Solé   +4 more
doaj   +1 more source

The cohomology of monogenic extensions in the noncommutative setting [PDF]

, 2007
We extend the notion of monogenic extension to the noncommutative setting, and we study the Hochschild cohomology ring of such an extension. As an aplication we complete the computation of the cohomology ring of the rank one Hopf algebras beggined in [S.
Farinati, Marco, Guccione, Jorge A., Guccione, Juan J.   +2 more
core   +3 more sources

Maps from Feigin and Odesskii's elliptic algebras to twisted homogeneous coordinate rings

Forum of Mathematics, Sigma, 2021
The elliptic algebras in the title are connected graded $\mathbb {C}$-algebras, denoted $Q_{n,k}(E,\tau )$, depending on a pair of relatively prime integers $n>k\ge 1$, an elliptic curve E and a point $\tau \in E$.
Alex Chirvasitu, Ryo Kanda, S. Paul Smith   +2 more
doaj   +1 more source

Adelic analysis and functional analysis on the finite Adele ring [PDF]

Opuscula Mathematica, 2018
In this paper, we study operator theory on the \(*\)-algebra \(\mathcal{M}_{\mathcal{P}}\), consisting of all measurable functions on the finite Adele ring \(A_{\mathbb{Q}}\), in extended free-probabilistic sense. Even though our \(*\)-algebra \(\mathcal{
Ilwoo Cho
doaj   +1 more source

Reverse geometric engineering of singularities [PDF]

, 2002
One can geometrically engineer supersymmetric field theories theories by placing D-branes at or near singularities. The opposite process is described, where one can reconstruct the singularities from quiver theories.
B. Feng, B. Feng, C.E. Beasley, D. Berenstein, D. Berenstein, D. Berenstein, David Berenstein, F. Cachazo, I.R. Klebanov, K. Dasgupta, K. Dasgupta, K.-h. Oh, M.R. Douglas, M.R. Douglas, M.R. Douglas, M.R. Douglas, N. Seiberg, R.C. Myers, S. Katz   +18 more
core   +2 more sources

Noncommutative curves and noncommutative surfaces

, 2000
In this survey article we describe some geometric results in the theory of noncommutative rings and, more generally, in the theory of abelian categories.
Bergh, M. Van den, Stafford, J. T.
core   +3 more sources

Noncommutative localization in group rings [PDF]

, 2003
14 pages, minor revisions, corrections and ...
Peter A. Linnell
openalex   +4 more sources

Some special types of determinants in graded skew P BW extensions.

Revista Integración, 2021
In this paper, we prove that the Nakayama automorphism of a graded skew PBW extension over a finitely presented Koszul Auslanderregular algebra has trivial homological determinant.
Héctor Suárez, Duban Cáceres, Armando Reyes   +2 more
doaj  

Criteria for \sigma-ampleness

, 2000
In the noncommutative geometry of Artin, Van den Bergh, and others, the twisted homogeneous coordinate ring is one of the basic constructions. Such a ring is defined by a $\sigma$-ample divisor, where $\sigma$ is an automorphism of a projective scheme X.
Keeler, Dennis S.
core   +1 more source

A Characterization of Noncommutative Quaternion Rings [PDF]

Proceedings of the American Mathematical Society, 1974
Noncommutative quaternion subrings of the ring of 4 × 4 4 \times 4 matrices over a formally real field are characterized in terms of the form of commutators and the multiplicity of characteristic roots.
openaire   +1 more source