‎A module $M$ is called FI-extending if every fully invariant submodule of $M$ is essential in a direct summand of $M$‎. ‎It is not known whether a direct summand of an FI-extending module is also FI-extending‎. ‎In this study‎, ‎it is given some answers to the question that under what conditions a direct summand of an FI-extending module is an FI-extending module?

Shortage and salinity of irrigation water are two major constraints that influence rapeseed production in arid and semi-arid regions of central and southern Iran. In this study, effects of deficit irrigation with different salinity levels and planting methods (in-furrow and on-ridge) as strategies for coping with water and salinity stresses on yield and yield quality of rapeseed were invest...

the purpose of this paper is to obtain necessary and suffcient conditionsfor existence approximate fixed point on geraghty-contraction. in this paper,denitions of approximate -pair fixed point for two maps tα , sα and theirdiameters are given in a metric space.

Background: In recent years, nanomaterials have been widely used in large quantities which make people bemore frequently exposed to the chemically synthesized nanoparticles (NPs). When NPs are introduced intoan organism, they may interact with a variety of cellular components with yet largely unknown pathologicalconsequences.Objective: I...