Given an arbitrary p-Banach ideal (A, A) (0 < p ≤ 1), we ask for geometrical properties of (A, A) which are sufficient (and necessary) to allow a transfer of the principle of local reflexivity to (A, A). 1991 AMS Mathematics Subject Classification: primary 46M05, 47D50; secondary 47A80

We define and characterize a somewhat fuzzy γ-irresolute continuous mapping and a somewhat fuzzy irresolute γ-open mapping on a fuzzy topological space. AMS Mathematics Subject Classification : 54A40.

In this note we derive for a smooth projective variety X with normal crossing divisor Z an integral comparison between the log-crystalline cohomology of the associated log-scheme and the logarithmic overconvergent de Rham-Witt cohomology defined by Matsuue. This extends our previous result that in the absence of a divisor Z the crystalline cohomology and overconvergent de Rham-Witt cohomology a...

In the reduced free product of C∗–algebras, (A, φ) = (A1, φ1) ∗ (A2, φ2) with respect to faithful states φ1 and φ2, A is purely infinite and simple if A1 is a reduced crossed product B ⋊α,r G for G an infinite group, if φ1 is well behaved with respect to this crossed product decomposition, if A2 6= C and if φ is not a trace. The reduced free product construction for C–algebras was invented inde...

AMS Mathematics Subject Classification (2000): 41A55, 33C45, 33C47, 42C05, 65D30, 65D32

AMS Mathematics Subject Classification (2000): 46F05, 35E15, 35S05.

We consider a unit speed curve α in the Euclidean ndimensional space E and denote the Frenet frame of α by {V1, . . . ,Vn}. We say that α is a cylindrical helix if its tangent vector V1 makes a constant angle with a fixed direction U . In this work we give different characterizations of such curves in terms of their curvatures. AMS Mathematics Subject Classification (2000): 53C40, 53C50

AMS Mathematics Subject Classification (2000): 47D06, 47D60, 47D62, 47D99

We establish some inequalities for invariant submanifolds involving totally real sectional curvature and the scalar curvature in a quaternion space form. The equality cases are also discussed. AMS Mathematics Subject Classification (2010): 53C40

We consider groups as algebras of type (2, 1, 0). A hypersubstitution of type (2, 1, 0) is a mapping σ from the set of the operation symbols {·,−1 , e} into the set of terms of type (2, 1, 0) preserving the arity. For a monoid M of hypersubstitutions of type (2, 1, 0) a variety V is called M -solid if for each group (G; ·,−1 , e) ∈ V the derived group (G; σ(·), σ(−1), σ(e)) also belongs to V fo...