Results 1 to 10 of about 44,493 (131)

Rings of differential operators on singular generalized multi-cusp algebras [PDF]

open access: yesAlgebra and discrete mathematics, 2023
The aim of the paper is to study the ring of differential operators $\mathcal{D}(A(m))$ on the generalized multi-cusp algebra $A(m)$ where $m\in \mathbb{N}^n$ (of Krull dimension $n$). The algebra $A(m)$ is singular apart from the single case when $m=(1,
Volodymyr Bavula, K. Hakami
semanticscholar   +1 more source

Operators on regular rings of Leavitt path algebras

open access: yesMathematics and Computer Science, 2023
In [8, Theorem 1], Jain and Prasad obtained a kind of symmetry of regular rings which is interesting and useful in the theory of shorted operators (cf. [9]). We show that this symmetry property indeed holds for endomorphism rings of Leavitt path algebras.
T. Ozdin
semanticscholar   +1 more source

Fixed rings of quantum generalized Weyl algebras [PDF]

open access: yesCommunications in Algebra, 2019
Generalized Weyl algebras (GWAs) appear in diverse areas of mathematics including mathematical physics, noncommutative algebra, and representation theory. We study the invariants of quantum GWAs under finite order automorphisms.
Jason Gaddis, P. Ho
semanticscholar   +1 more source

Multiplicative Jordan type higher derivations of unital rings with non trivial idempotents

open access: yesAdvances in Pure and Applied Mathematics, 2023
. Suppose R is a non-zero unital associative ring with a nontrivial idempotent " e ". In this paper, we prove that under some mild conditions every multiplicative jordan n-higher derivations on R is additive.
A. Kawa, S. N. Hasan, B. Wani
semanticscholar   +1 more source

Lie Dimension Subrings [PDF]

open access: yes, 2013
We compare, for L a Lie ring over the integers, its lower central series (\gamma_n(L))_{n>0} and its dimension series defined by \delta_n(L):=L\cap \varpi^n(L) in the universal enveloping algebra of L.
Bir S. Passi, Inder, Laurent Bartholdi
core   +1 more source

Dimensioned Algebra: Mathematics with Physical Quantities [PDF]

open access: yesLa Matematica, 2021
A rigorous mathematical theory of dimensional analysis, systematically accounting for the use of physical quantities in science and engineering, perhaps surprisingly, was not developed until relatively recently.
Carlos Zapata-Carratalá
semanticscholar   +1 more source

Universal deformation rings of modules for algebras of dihedral type of polynomial growth [PDF]

open access: yes, 2012
Let k be an algebraically closed field, and let \Lambda\ be an algebra of dihedral type of polynomial growth as classified by Erdmann and Skowro\'{n}ski.
FM Bleher   +12 more
core   +1 more source

Quiver Generalized Weyl Algebras, Skew Category Algebras and Diskew Polynomial Rings

open access: yesMathematics and Computer Science, 2017
The aim of the paper is to introduce new large classes of algebras—quiver generalized Weyl algebras, skew category algebras, diskew polynomial rings and skew semi-Laurent polynomial rings.
V. Bavula
semanticscholar   +2 more sources

Hausdorff series in semigroup rings of rectangular bands

open access: yesCreative Mathematics and Informatics, 2022
"The Hausdorff series provides a solution to the equation $w=\log(e^ue^v)$ given by a recursive formula which can be expressed as nested commutators of $u$ and $v$.
O. Kelekci
semanticscholar   +1 more source

On ideals of prime rings involving $n$-skew commuting additive mappings with applications

open access: yesHacettepe Journal of Mathematics and Statistics, 2022
Let $n > 1 $ be a fixed positive integer and $S$ be a subset of a ring $R$. A mapping $\zeta$ of a ring $R$ into itself is called $n$-skew-commuting on $S$ if $\zeta(x)x^{n} + x^{n}\zeta(x)=0$, $\forall$ $x\in S.$ The main aim of this paper is to ...
C. Abdioğlu   +2 more
semanticscholar   +1 more source

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