in this paper, we introduce fuzzy banach algebra and study the properties of invertible elements and its relation with opensets. we obtain some interesting results.

In this paper, we introduce fuzzy Banach algebra and study the properties of invertible elements and its relation with opensets. We obtain some interesting results.

We establish commutativity theorems for certain classes of rings in which every invertible element is central, or, more generally, in which all invertible elements commute with one another. We prove that if R is a semiexchange ring (i.e. its factor ring modulo its Jacobson radical is an exchange ring) with all invertible elements central, then R is commutative. We also prove that if R is a semi...

We review an algorithm for the finite element simulation of elastoplastic solids which is capable of robustly and efficiently handling arbitrarily large deformation. In fact, the model remains valid even when large parts of the mesh are inverted. The algorithm is straightforward to implement and can be used with any material constitutive model, and for both volumetric solids and thin shells suc...

Let b and c be two elements in a semigroup S. This paper is devoted to studying the structures of S||(b,c) H(b,c) S, where stands for set all (b, c)-invertible = {y ? S | bS1 yS1, S1y S1c}. Denote c)-inverse by a||(b,c). If , ?, then {a||(b,c)| S||(b,c)}. We first find some new equivalent conditions group analyze its structure from viewpoint generalized inverses. Then necessary sufficient condi...