Results 51 to 60 of about 7,296 (219)
A central closure construction for certain extensions. Applications to Hopf algebra actions [PDF]
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
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
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
Algebras of quotients of path algebras [PDF]
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
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]
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]
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
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
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