r is called commuting regular ring (resp. semigroup) if for each x,y $in$ r thereexists a $in$ r such that xy = yxayx. in this paper, we introduce the concept of commuting$pi$-regular rings (resp. semigroups) and study various properties of them.

We use nonstandard topology and the g-topology to characterize normal, almost-normal, regular, almost-regular, semiregular spaces. The cluster [resp. 0-cluster] set relation is used to characterize regular, almostregular [resp. strongly-regular] spaces. The Whyburn [resp. Dickman] filter bases are characterized and it is shown that the cluster [resp. f-cluster] set relation restricted to the do...

in this paper we introduce the notions of fuzzy transposition hypergroupsand fuzzy regular relations and investigate their basic properties.we also study fuzzy quotient hypergroups of a fuzzy transposition hypergroup.

BACKGROUND Previous studies have shown poor compliance with regular drug therapy in children and adults with asthma. In preschool children the parents supervise and are responsible for drug administration, but little is known of compliance in this group. In addition, there are few data on the patterns of drug use of inhaled prophylactic asthma therapy or of the relation between compliance and s...

Regular model checking is a framework for verifying parameterized and infinite-state systems. Techniques for regular model checking such as quotienting require a well-specified transition relation where the invariant of the system is represented implicitly. To relax the restriction, we propose a technique, which we call refinement of transition relation, and reconstruct and extend regular model...

In this paper we generalize some classical factorizations of a fuzzy relation into a symmetric component (indifference) and an asymmetric and regular component (regular fuzzy strict preference). From the above notions, we establish two properties of any regular fuzzy strict preference of a max-∗-transitive fuzzy relation, which are then used to obtain new fuzzy versions of Gibbard’s oligarchy t...

Boulton Jones, J. M., Cameron, J. S., Bewick, M., Ogg, C. S., Meadow, S. R., and Ellis, F. G. (1971). Archives of Disease in Childhood, 46, 457. Treatment of terminal renal failure in children by home dialysis and transplantation. Eleven children, aged 6 to 17 years, suffering from irreversible renal failure, were treated by regular haemodialysis. This was preparatory to renal transplantation i...