Results 51 to 60 of about 299 (69)

Construction of graded differential algebra with ternary differential [PDF]

, 2005
In this article, we describe the construction of graded $q$-differential algebra with ternary differential satisfying the property $d^3=0$ and the $q$-Leibniz rule. Our starting point is coordinate first order differential calculus on some complex algebra and the corresponding bimodule of second order differentials.
arxiv   +1 more source

Structure of normal twisted group rings [PDF]

Publ. Math. Debrecen 51 (1997), no. 3-4, 279--293, 2008
In this paper we describe those groups G and commutative rings K for which the twisted group rings K*G are f-normal.
arxiv  

Linear locally nilpotent derivations and the classical invariant theory, I: The Poincare series [PDF]

Serdica Math. J., vol. 36, No 2, 2010, 99-120, 2009
By using classical invariant theory approach a formulas for computation of the Poincare series of the kernel of linear locally nilpotent derivations is found.
arxiv  

A note about invariants of algebraic curves [PDF]

ALBANIAN JOURNAL OF MATHEMATICS, Volume 6, Number 1, Pages 3-8, 2012, 2011
For affine algebraic plane curves we reduce a calculation of its invariants to calculation of the intersection of kernels of some derivations.
arxiv  

Nonlinear Jordan Derivations of Triangular Algebras [PDF]

arXiv, 2012
In this paper we prove that any nonlinear Jordan derivation on triangular algebras is an additive derivation. As a byproduct, we obtain that any nonlinear Jordan derivation on nest algebras over infinite dimensional Hilbert spaces is inner.
arxiv  

Outcomes of fertility preservation treatments in patients with endometrial cancer with different molecular classifications based on an NGS panel. [PDF]

Front Oncol, 2023
Xu Y, Zhao M, Zhang L, Wang T, Wang B, Xue Y, Xu Z, Shao W, Chen X, Wang C.   +9 more
europepmc   +1 more source

Cyclic Leibniz Algebras [PDF]

arXiv, 2014
Leibniz algebras generated by one element, called cyclic, provide simple and illuminating examples of many basic concepts. It is the purpose of this paper to illustrate this fact.
arxiv  

Assosymmetric algebras under jordan product [PDF]

arXiv, 2016
We prove that assosymmetric algebras under Jordan product are Lie triple. A Lie triple algebra is called special if it is isomorphic to a subalgebra of some plus-assosymmetric algebra. We establish that Glennie identitiy is valid for special Lie triple algebras, but not for all Lie triple algebras.
arxiv  

Skew derivations on down-up algebras [PDF]

arXiv, 2017
A class of skew derivations on complex Noetherian generalized down-up algebras $L=L(f,r,s,\gamma)$ is constructed.
arxiv  

Amitsur's theorem, semicentral idempotents, and additively idempotent semirings

Open Mathematics
The article explores research findings akin to Amitsur’s theorem, asserting that any derivation within a matrix ring can be expressed as the sum of an inner derivation and a hereditary derivation.
Rachev Martin, Trendafilov Ivan
doaj   +1 more source