MIR, HAJAR EL, MAMOUNI, ABDELLAH, and OUKHTITE, LAHCEN
Subjects
*LAPLACIAN operator, *FRACTIONAL differential equations, *DIFFERENTIAL equations, *MATHEMATICS, *FIXED point theory
Abstract
In this paper we give a classification of endomorphisms and additive mappings of a prime ring satisfying certain algebraic identities. Moreover, we provide an example proving that the primeness hypothesis imposed in our theorems is not superfluous. [ABSTRACT FROM AUTHOR]
*VECTOR spaces, *NEAR-rings, *MATHEMATICAL domains, *FIXED point theory, *ENDOMORPHISMS
Abstract
In this paper we prove some new results on near-vector spaces and near domains and give a first application of the nearring of quotients with respect to a multiplicative set, namely we construct a new class of near-vector spaces from near domains. [ABSTRACT FROM AUTHOR]