We study the metacommutation problem in Eichler orders. From this arises a permutation of set locally principal left ideals given prime reduced norm. Previous results on cycle structure were determined for maximal As we ext

If C is a smooth curve over an algebraically closed field k of characteristic exponent p, then the structure of the maximal prime-to-p quotient of the étale fundamental group is known by analytic methods. In this paper, we discuss the properties of the fundamental group that can be deduced by purely algebraic techniques. We describe a general reduction from an arbitrary curve to the projective ...

In this paper we introduce the notion of Boolean filters in a pseudo-complemented distributive lattice and characterize the class of all Boolean filters. Further a set of equivalent conditions are derived for a proper filter to become a prime Boolean filter. Also a set of equivalent conditions is derived for a pseudo-complemented distributive lattice to become a Boolean algebra. Finally, a Bool...

In this paper the concept of soft fuzzy filter on X, soft fuzzy prime filter on X, soft fuzzy ultrafilter on X, soft fuzzy minimal prime filter collections are introduced. The concept of soft fuzzy limit space (X, ltτ ) and the related properties are discussed. The functor ι from the collection of soft fuzzy filters F(X) to the collection of filters on X and the functor ω defined from the colle...

If C is a smooth curve over an algebraically closed field k of characteristic p, then the structure of the maximal prime to p quotient of thé etale fundamental group is known by analytic methods. In this paper, we discuss the properties of the fundamental group that can be deduced by purely algebraic techniques. We describe a general reduction from an arbitrary curve to the projective line minu...

If C is a smooth curve over an algebraically closed field k of characteristic exponent p, then the structure of the maximal prime-top quotient of thé etale fundamental group is known by analytic methods. In this paper, we discuss the properties of the fundamental group that can be deduced by purely algebraic techniques. We describe a general reduction from an arbitrary curve to the projective l...

If P is a p-group for some prime p we shall write M (P ) to denote the set of all maximal subgroups of P and Md(P ) = {P1, ..., Pd} to denote any set of maximal subgroups of P such that ∩d i=1 Pi = Φ(P ) and d is as small as possible. In this paper, the structure of a finite group G under some assumptions on the c-normal or s-quasinormally embedded subgroups in Md(P ), for each prime p, and Syl...

If C is a smooth curve over an algebraically closed field k of characteristic p, then the structure of the maximal prime to p quotient of thé etale fundamental group is known by analytic methods. In this paper, we discuss the properties of the fundamental group that can be deduced by purely algebraic techniques. We describe a general reduction from an arbitrary curve to the projective line minu...