Results 51 to 60 of about 7,296 (219)

A central closure construction for certain extensions. Applications to Hopf algebra actions [PDF]

open access: yes, 2003
Algebra extensions A < B where A is a left B-module such that the B-action extends the multiplication in A are ubiquitous. We encounter examples of such extensions in the study of group actions, group gradings or more general Hopf actions as well as in ...
Cabrera   +5 more
core   +2 more sources

On the counting function of semiprimes

open access: yes, 2020
A semiprime is a natural number which can be written as the product of two primes. The asymptotic behaviour of the function $π_2(x)$, the number of semiprimes less than or equal to $x$, is studied. Using a combinatorial argument, asymptotic series of $π_2(x)$ is determined, with all the terms explicitly given.
Crişan, D, Erban, R
openaire   +3 more sources

Nonlinear Jordan Derivable Mappings of Generalized Matrix Algebras by Lie Product Square‐Zero Elements

open access: yesJournal of Mathematics, Volume 2021, Issue 1, 2021., 2021
The aim of the paper is to give a description of nonlinear Jordan derivable mappings of a certain class of generalized matrix algebras by Lie product square‐zero elements. We prove that under certain conditions, a nonlinear Jordan derivable mapping Δ of a generalized matrix algebra by Lie product square‐zero elements is a sum of an additive derivation ...
Xiuhai Fei, Haifang Zhang, Wenpeng Zhang
wiley   +1 more source

Partitions into semiprimes

open access: yes, 2022
37 pages, 4 figures.
Das, Madhuparna   +3 more
openaire   +2 more sources

Algebras of quotients of path algebras [PDF]

open access: yes, 2007
Leavitt path algebras are shown to be algebras of right quotients of their corresponding path algebras. Using this fact we obtain maximal algebras of right quotients from those (Leavitt) path algebras whose associated graph satisfies that every vertex ...
Molina, Mercedes Siles
core   +3 more sources

On the Multiplicative (Generalised) (α, α)−Derivations of Semiprime Rings

open access: yesJournal of New Theory, 2022
The algebraic properties and identities of a semiprime ring are investigated with the help of the multiplicative (generalised)-(α, α)-reverse derivation on the non-empty ideal of the semiprime ring.
Neşet Aydın   +2 more
doaj   +1 more source

Ore and Goldie theorems for skew PBW extensions [PDF]

open access: yes, 2013
Many rings and algebras arising in quantum mechanics can be interpreted as skew PBW (Poincar\'e-Birkhoff-Witt) extensions. Indeed, Weyl algebras, enveloping algebras of finite-dimensional Lie algebras (and its quantization), Artamonov quantum polynomials,
Acosta, Juan Pablo   +4 more
core   +1 more source

Characterizations of hemirings by their $h$-ideals [PDF]

open access: yes, 2010
In this paper we characterize hemirings in which all $h$-ideals or all fuzzy $h$-ideals are idempotent. It is proved, among other results, that every $h$-ideal of a hemiring $R$ is idempotent if and only if the lattice of fuzzy $h$-ideals of $R$ is ...
Aho   +32 more
core   +2 more sources

Semiprime RΓ-Submodules of Multiplication RΓ-Modules

open access: yesIraqi Journal of Science, 2020
Let R be a Γ-ring and G be an RΓ-module. A proper RΓ-submodule S of G is said to be semiprime RΓ-submodule if for any ideal I of a Γ-ring R and for any RΓ-submodule A of G such that or which implies that .
Ali Abd Alhussein Zyarah, N. Al-Mothafar
semanticscholar   +1 more source

A Characterization of Semiprime Rings with Homoderivations

open access: yesJournal of New Theory, 2023
This paper is focused on the commutativity of the laws of semiprime rings, which satisfy some algebraic identities involving homoderivations on ideals. It provides new and notable results that will interest researchers in this field, such as “R contains ...
Emine Koç Sögütcü
doaj   +1 more source

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