let $r$ be an arbitrary ring with identity and $m$ a right $r$-module with $s=$ end$_r(m)$. the module $m$ is called {it rickart} if for any $fin s$, $r_m(f)=se$ for some $e^2=ein s$. we prove that some results of principally projective rings and baer modules can be extended to rickart modules for this general settings.

The term “flexible learning’ has been used by many institutions with regard to their methods of course delivery, particularly by those seeking to attract external students. In almost no cases is the use of the term justified, since the flexibility concerned relates only to certain very limited components of the learning process. This paper outlines the very real problems that are faced by insti...

One of the important problems in group theory is characterization of a group by a given property, that is, to prove there exist only one group with a given property. Let  be a finite group. We denote by  the largest order of elements of . In this paper, we prove that some Suzuki groups are characterizable by order and the largest order of elements. In fact, we prove that if  is a group with  an...

I present sound and complete natural deduction systems for (quantified modal) imperative logic, in five steps. (1) Syntax: I introduce imperative formal languages by using the imperative operator ‘!’; e.g., if ‘A’ is a declarative sentence, ‘!A’ (“let A be true’’) is an imperative sentence. (2) Semantics: I introduce interpretations of imperative formal languages, and (building on previous work...

in this paper, we first discuss about canonical dual of g-frameλp = {λip ∈ b(h, hi) : i ∈ i}, where λ = {λi ∈ b(h, hi) :i ∈ i} is a g-frame for a hilbert space h and p is the orthogonalprojection from h onto a closed subspace m. next, we provethat, if λ = {λi ∈ b(h, hi) : i ∈ i} and θ = {θi ∈ b(k, hi) :i ∈ i} be respective g-frames for non zero hilbert spaces hand k, and λ and θ are unitarily e...

Abstract On the rise over past 20 years has been ‘moderate supernaturalism’, view that while a meaningful life is possible in world without God or soul, much greater meaning would be only with them. William Lane Craig can read as providing an important argument for version of this view, according to which and soul could our lives have eternal, opposed temporally limited, significance since we t...

the aim of my argument (1) is to reconceptualise what is now called religious studies as the study of institutionalised values, and the relation between values and the legitimation of power in a specific society. though i do not talk much about power here, it is always a fundamental issue in the study of specific social groups.the first assumption which i make in this paper is that the way anal...

In this paper we will prove that if $L$ is a continuous symmetric n-linear form on a Hilbert space and $widehat{L}$ is the associated continuous n-homogeneous polynomial, then $||L||=||widehat{L}||$. For the proof we are using a classical generalized  inequality due to S. Bernstein for entire functions of exponential type. Furthermore we study the case that if X is a Banach space then we have t...