The aim of this paper is the study of a covering of a max-mingeneral fuzzy automaton by another, admissible relations, admissiblepartitions of a max-min general fuzzy automaton,$tilde{delta}$-orthogonality of admissible partitions, irreduciblemax-min general fuzzy automata. Then we obtain the relationshipsbetween them.  

In this note, we give an arithmetic criterion for the Lie-irreducibility of linear differential equations based on p-curvatures.

Girstmair in [1, Theorem 1] gave a generalization of Murty's irreducibility criterion (see [2, 1]). In this article, we further generalize these criteria.

In this note, we present two new identities for derangements. As a corrolary, we have a combinatorial proof of the irreducibility of the standard representation of symmetric groups.

We study the Irreducibility Problem for arc space X∞ of an irreducible singular algebraic variety X defined over a perfect field k characteristic p>0. The existence reducible such is related to fact that Kolchin's Theorem fails hold in positive characteristic. obtain complete description components when surface. Section 5 introduces two main new problems arbitrary dimension: (1) line O. Zariski...

A bstract . We consider cooperative, uniformly elliptic systems, with bounded coefficients and coupling in the zeroth-order terms. We establish two analogues of Harnack’s inequality for this class of systems: A weak version is obtained under fairly general conditions, while imposing an irreducibility condition on the coupling coefficients we obtain a stronger version of the inequality. This irr...

Standard results in general equilibrium theory, such as existence and the second efficiency and core equivalence theorems, are most easily proved for compensated equilibria. A new condition establishes that, even with individual non-convexities, in compensated equilibrium any agent with a cheaper feasible net trade is also in uncompensated equilibrium. Some generalizations of McKenzie’s irreduc...

We consider the energy representation for the gauge group. The gauge group is the set of C∞mappings from a compact Riemannian manifold to a semi-simple compact Lie group. In this paper, we obtain irreducibility of the energy representation of the gauge group for any dimension of M . To prove irreducibility for the energy representation, we use the fact that each operator from a space of test fu...