Overtensing and the effect of regularity

The Impact of Word Regularity on the Reading of Normal and Aphasic Gilak-Persian Adults

Background: Various factors influence the natural processing of words. The present study sought to investigate the effect of the regularity variable on the reading of words. Objectives: The participants in the study were 50 normal and 5 aphasic people (of Broca, transcortical motor and conduction aphasia types) who were selected through convenience sampling method. Materials & Methods: It was...

Strong Topological Regularity and Weak Regularity of Banach Algebras

In this article we study two different generalizations of von Neumann regularity, namely strong topological regularity and weak regularity, in the Banach algebra context. We show that both are hereditary properties and under certain assumptions, weak regularity implies strong topological regularity. Then we consider strong topological regularity of certain concrete algebras. Moreover we obtain ...

$(m,n)$-Hyperideals in Ordered Semihypergroups

In this paper, first we introduce the notions of an $(m,n)$-hyperideal and a generalized $(m,n)$-hyperideal in an ordered semihypergroup, and then, some properties of these hyperideals are studied. Thereafter, we characterize $(m,n)$-regularity, $(m,0)$-regularity, and $(0,n)$-regularity of an ordered semihypergroup in terms of its $(m,n)$-hyperideals, $(m,0)$-hyperideals and $(0,n)$-hyperideal...

Arens Regularity and Weak Amenability of Certain Matrix Algebras

Motivated by an Arens regularity problem, we introduce the concepts of matrix Banach space and matrix Banach algebra. The notion of matrix normed space in the sense of Ruan is a special case of our matrix normed system. A matrix Banach algebra is a matrix Banach space with a completely contractive multiplication. We study the structure of matrix Banach spaces and matrix Banach algebras. Then we...

Bounds for the Regularity of Edge Ideal of Vertex Decomposable and Shellable Graphs