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 ...

abstract: the physician-patient relationship has been undergoing significant changes in recent decades in western countries. taking a client-centered approach, society has given more autonomy and freedom to patients. the patient is regarded as a consumer who is looking for the best and most scientific approach and is free to choose among different methods of treatment. the role of the physician...

Functional MSO transductions, deterministic two-way transducers, as well streaming string transducers are all equivalent models for regular functions. In this paper, we show that every function, either on finite words or infinite words, captured by a transducer, can be described with transducer expression (RTE ). For the uses Muller acceptance and ω-regular look-ahead. RTEs constructed from con...