We start this paper by showing that the Leavitt path algebra of a (row-finite) graph is an algebra of quotients of the corresponding path algebra. The path algebra is semiprime if and only if whenever there is a path connecting two vertices, there is another one in the opposite direction. Semiprimeness is studied because, for acyclic graphs, the Leavitt path algebra is a Fountain-Gould algebra ...

Derivations, Jordan derivations, as well as automorphisms and Jordan automorphisms of the algebra of triangular matrices and some class of their subalgebras have been the object of active research for a long time [1, 2, 5, 6, 9, 10]. A well-know result of Herstein [11] states that every Jordan isomorphism on a prime ring of characteristic different from 2 is either an isomorphism or an anti-iso...

Giora's [Giora, R., 1997. Understanding figurative and literal language: the Graded Salience Hypothesis. Cogn. Linguist. 7 (1), 183-206; Giora, R., 2003. On Our Mind: Salience Context and Figurative Language. Oxford Univ. Press, New York] Graded Salience Hypothesis states that more salient meanings-coded meanings foremost on our mind due to conventionality, frequency, familiarity, or prototypic...

During this search all rings are commutative and modules unitary. In we introduced the concept of Restrict Nearly semi-prime Sub-modules as generalization give some basic properties, examples charactarizations concepts stablished sufficient conditions on to be