in this paper we investigate some hereditary properties of amenability modulo an ideal of banach algebras. we show that if (e) is a bounded approximate identity modulo i of a banach algebra a and x is a neo-unital modulo i, then (e) is a bounded approximate identity for x. moreover we show that amenability modulo an ideal of a banach algebra a can be only considered by the neo-unital modulo...

Immunocytochemical staining of tissues with the mouse macrophage-specific monoclonal antibody, F4/80, has shown that large numbers of stromal macrophages are present in adult and foetal haematopoietic tissues. Macrophage plasma membrane processes are seen to establish extensive associations with myeloid and erythroid cells in adult bone marrow and with developing erythroblasts in foetal liver, ...

A transit trip involves travel to and from stops or stations. The quality of what are commonly known as first last mile connections (regardless their length) can have an important impact on ridership. Transit agencies throughout the world developing innovative approaches improving connections, for example, by partnering with ride-hailing other emerging mobility services. small but growing numbe...

Fiber loop mirrors (FLMs), also called Sagnac interferometers, are interesting and very useful components for use in optical devices and systems [1, 2]. Many components based on FLMs have been demonstrated for applications in wavelength-division-multiplexing filters and in sensors, among others [3-7]. In FLM, the two interfering waves counter-propagate through the same fiber and are exposed to ...

In this paper, we study pseudo-valuations on a BCI-algebra and obtain some related results. The relation between pseudo-valuations and ideals is investigated. We use a pseudo-metric induced by a pseudovaluation to introduce a congruence relation on a BCI-algebra. We define the quotient algebra induced by this relation and prove that it is also a BCI-algebra and study its properties.

this paper provides a review on major ergodic features of semi-independent hyper mv {algebra dynamical systems. theorems are presentedto make contribution to calculate the entropy. particularly, it is proved that thetotal entropy of those semi-independent hyper mv {algebra dynamical systemsthat have a generator can be calculated with respect to their generator ratherthan considering all the par...

in this article, we introduce monomial irreducible representations of the special linear lie algebra $sln$. we will show that this kind of representations have bases for which the action of the chevalley generators of the lie algebra on the basis elements can be given by a simple formula.

In this paper, we introduce the new concept of biprojectivity of a Banach algebra modulo an ideal, as a generalization of this notion in the classical case. By using it , we obtain some necessary and sufficient conditions for contractibility of Banach algebras modulo an ideal. In particular we characterize the contractibility of quotient Banach algebras. Also we study the relationship between t...

Let  be an n-dimensional Riemannian manifold, and  be its tangent bundle with the lift metric. Then every infinitesimal fiber-preserving conformal transformation  induces an infinitesimal homothetic transformation on .  Furthermore,  the correspondence   gives a homomorphism of the Lie algebra of infinitesimal fiber-preserving conformal transformations on  onto the Lie algebra of infinitesimal ...

In this paper, we enlarge the language of triangle algebra by addinga unary operation that describes properties of a state. Thesestructure algebras are called state triangle algebra. The vitalproperties of these algebras are given. The notion of state interval-valued residuated lattice (IVRL)-filters are introduced and givesome examples and properties of them are given. ...