Results 11 to 20 of about 4,283 (134)

Derived categories of hearts on Kuznetsov components

Journal of the London Mathematical Society, Volume 108, Issue 6, Page 2146-2174, December 2023., 2023
Abstract We prove a general criterion that guarantees that an admissible subcategory K$\mathcal {K}$ of the derived category of an abelian category is equivalent to the bounded derived category of the heart of a bounded t‐structure. As a consequence, we show that K$\mathcal {K}$ has a strongly unique dg enhancement, applying the recent results of ...
Chunyi Li, Laura Pertusi, Xiaolei Zhao
wiley   +1 more source

Algebraic Techniques for Canonical Forms and Applications in Split Quaternionic Mechanics

Journal of Mathematics, Volume 2023, Issue 1, 2023., 2023
The algebra of split quaternions is a recently increasing topic in the study of theory and numerical computation in split quaternionic mechanics. This paper, by means of a real representation of a split quaternion matrix, studies the problem of canonical forms of a split quaternion matrix and derives algebraic techniques for finding the canonical forms
Tongsong Jiang, Dong Zhang, Zhenwei Guo, Gang Wang, V. I. Vasil’ev, Zafar Ullah   +5 more
wiley   +1 more source

Characteristics of Regular Functions Defined on a Semicommutative Subalgebra of 4‐Dimensional Complex Matrix Algebra

Journal of Mathematics, Volume 2021, Issue 1, 2021., 2021
In this paper, we give an extended quaternion as a matrix form involving complex components. We introduce a semicommutative subalgebra ℂ(ℂ2) of the complex matrix algebra M(4, ℂ). We exhibit regular functions defined on a domain in ℂ4 but taking values in ℂ(ℂ2).
Ji Eun Kim, V. Ravichandran
wiley   +1 more source

Some nodal noncommutative Jordan algebras [PDF]

Proceedings of the American Mathematical Society, 1958
2. S. Lefschetz, Algebraic geometry, Princeton, 1953. 3. H. Levi, On the structure of differential polynomials and on their theory of ideals, Trans. Amer. Math. Soc. vol. 51 (1942) pp. 532-568. 4. J. F. Ritt, Differential algebra, Amer. Math. Soc. Colloquium Publications, vol. 33, New York, 1950. 5. A.
openaire   +1 more source

Norms and noncommutative Jordan algebras [PDF]

Pacific Journal of Mathematics, 1965
The author defines \(Q\) to be a form on a vector spare \(X\) if \(Q\) is a homogeneous polynomial function on \(X\). For any rational mapping \(F\) from a space \(X_1\) into \(X_2\) let \(\partial F\) denote the differential of \(F\) and \(\partial F\,|_x\), the differential at \(x \in X_1\). Now \(\partial F\,|_x\) is a linear map and \(\partial_u F\,
openaire   +3 more sources

On non-commutative Minkowski spheres

Analele Stiintifice ale Universitatii Ovidius Constanta: Seria Matematica, 2012
The purpose of the following is to try to make sense of the stereo- graphic projection in a non-commutative setup. To this end, we consider the open unit ball of a ternary ring of operators, which naturally comes equipped with a non-commutative version ...
Stachó Lászlo L., Werner Wend
doaj   +1 more source

Noncommutative Jordan C*-algebras

Manuscripta Mathematica, 1982
We introduce noncommutative JB*-algebras which generalize both B*-algebras and JB*-algebras and set up the bases for a representation theory of noncommutative JB*-algebras. To this end we define noncommutative JB*-factors and study the factor representations of a noncommutative JB*-algebra.
Payá, R., Pérez, J., Rodriguez, A.
openaire   +1 more source

Factorizations of Elements in Noncommutative Rings: A Survey [PDF]

, 2016
We survey results on factorizations of non zero-divisors into atoms (irreducible elements) in noncommutative rings. The point of view in this survey is motivated by the commutative theory of non-unique factorizations.
A Geroldinger, A Leroy, A Loewy, AW Chatters, AW Chatters, D Bachman, D Haile, D Lissner, D Smertnig, DA Jordan, DR Estes, DR Estes, DR Estes, DR Estes, E Hallouin, E Jespers, E Jespers, E Landau, G Grätzer, G Hegedüs, G Hegedüs, GQ Abbasi, H Cohn, H Fitting, H Marubayashi, H-H Brungs, I Gelfand, J Bergen, J Delenclos, J Towber, JH Conway, KR Goodearl, L Bruyn Le, M Chamarie, M-F Vignéras, MP Gilchrist, NR Baeth, NR Baeth, PM Cohn, PM Cohn, PM Cohn, PM Cohn, PM Cohn, PM Cohn, PM Cohn, PM Cohn, RA Beauregard, RA Beauregard, RA Beauregard, RA Beauregard, RA Beauregard, RA Beauregard, RA Beauregard, RA Beauregard, RA Beauregard, TY Lam, V Retakh   +56 more
core   +1 more source

The algebraic and geometric classification of nilpotent noncommutative Jordan algebras [PDF]

Journal of Algebra and Its Applications, 2020
We give algebraic and geometric classifications of complex four-dimensional nilpotent noncommutative Jordan algebras. Specifically, we find that, up to isomorphism, there are only [Formula: see text] non-isomorphic nontrivial nilpotent noncommutative Jordan algebras.
Jumaniyozov, Doston, Kaygorodov, Ivan, Khudoyberdiyev, Abror   +2 more
openaire   +2 more sources

Lie-admissible, nodal, noncommutative Jordan algebras [PDF]

Transactions of the American Mathematical Society, 1971
The main theorem is that if \(A\) is a central simple flexible algebra, with an identity, of arbitrary dimension over a field \(F\) of characteristic not 2, and if \(A\) is Lie-admissible and \(A^+\) is associative, then \(\operatorname{ad}(A)'=[A,A]/F\) is a simple Lie algebra. The proof is modeled on \textit{I. N.
openaire   +2 more sources