F. Forouzesh

Faculty of Mathematics and computing‎, ‎Higher Education complex of Bam‎, Bam‎, ‎Iran.

[ 1 ] - Radical of $cdot$-ideals in $PMV$-algebras

‎In this paper‎, ‎we introduce the notion of the radical of a $PMV$-algebra $A$ and we charactrize radical $A$ via elements of $A$‎. ‎Also‎, ‎we introduce the notion of the radical of a $cdot$-ideal in $PMV$-algebras‎. ‎Several characterizations of this radical is given‎. ‎We define the notion of a semimaximal $cdot$-ideal in a $PMV$-algebra‎. ‎Finally we show that $A/I$ has no nilpotent elemen...

[ 2 ] - State filters in state residuated lattices

In this paper, we introduce the notions of prime state filters, obstinate state filters, and primary state filters in state residuated lattices and study some properties of them. Several characterizations of these state filters are given and the prime state filter theorem is proved. In addition, we investigate the relations between them.

[ 3 ] - Dynamic Model of Virus Transmission in Plants

In the study of viral diseases in plants, the immune response of the plant plays a basic role. In this paper, a mathematical model based on differential equations system with time delay for the immune response of the plant is introduced. As follows, the dynamical behavior of the model in equilibrium points is investigated. At the end, a plant in two different modes, organic and non- organic is ...