Results 41 to 50 of about 1,200,355 (273)
On the Free Energy of Noncommutative Quantum Electrodynamics at High Temperature [PDF]
, 2006 We compute higher order contributions to the free energy of noncommutative quantum electrodynamics at a nonzero temperature $T$. Our calculation includes up to three-loop contributions (fourth order in the coupling constant $e$).
Affleck +26 more
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Journal of Mathematics, 2022 The LA-module is a nonassociative structure that extends modules over a nonassociative ring known as left almost rings (LA-rings). Because of peculiar characteristics of LA-ring and its inception into noncommutative and nonassociative theory, drew the ...
Asima Razzaque, Inayatur Rehman
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Sheaves that fail to represent matrix rings [PDF]
, 2014 There are two fundamental obstructions to representing noncommutative rings via sheaves. First, there is no subcanonical coverage on the opposite of the category of rings that includes all covering families in the big Zariski site.
Reyes, Manuel L.
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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 +2 more
doaj
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.
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The Quasi-self-dual, Right LCD and ACD codes over a noncommutative non-unital ring
Journal of Algebra Combinatorics Discrete Structures and ApplicationsThis paper presents the study of QSD (quasi-self-dual), right-LCD (linear complementary dual), and ACD (additive complementary dual) codes over a noncommutative local ring $R= \langle a,b ~|~ 3a =3b=0,~ a^2=a,~ b^2=b,~ ab=b,~ ba=a \rangle$ of order $9 ...
Anup Kushwaha, S. Yadav, Om Prakash
semanticscholar +1 more source
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 +4 more
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, 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.
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A note on a pair of derivations of semiprime rings
International Journal of Mathematics and Mathematical Sciences, 2004 We study certain properties of derivations on semiprime rings. The main purpose is to prove the following result: let R be a semiprime ring with center Z(R), and let f, g be derivations of R such that f(x)x+xg(x)∈Z(R) for all x∈R, then f and g are ...
Muhammad Anwar Chaudhry, A. B. Thaheem
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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
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