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

Given a partial action α of a group G on an associative algebra A, we consider the crossed product A α G. Using the algebras of multipliers, we generalize a result of Exel (1997) on the associativity of A α G obtained in the context of C∗-algebras. In particular, we prove that A αG is associative, provided that A is semiprime. We also give a criterion for the existence of a global extension of ...

Frédéric Grosshans, Thomas Lawson, François Morain, and Benjamin Smith Laboratoire Aimé Cotton, CNRS, Univ. Paris-Sud, ENS Cachan, Université Paris-Saclay, 91405 Orsay, France LTCI — Télécom ParisTech, 23 avenue d’Italie, 75013, Paris, France École Polytechnique/LIX and Institut national de recherche en informatique et en automatique (INRIA) INRIA and École Polytechnique/LIX (Dated: November 16...

Let A be a uniformly complete almost f -algebra and a natural number p ∈ {3, 4, . . . }. Then Πp(A) = {a1 . . . ap; ak ∈ A, k = 1, . . . , p} is a uniformly complete semiprime f -algebra under the ordering and multiplication inherited from A with Σp(A) = {a; 0 ≤ a ∈ A} as positive cone.