The rings considered in this article are commutative with identity $1neq 0$. By a proper ideal of a ring $R$,  we mean an ideal $I$ of $R$ such that $Ineq R$.  We say that a proper ideal $I$ of a ring $R$ is a  maximal non-prime ideal if $I$ is not a prime ideal of $R$ but any proper ideal $A$ of $R$ with $ Isubseteq A$ and $Ineq A$ is a prime ideal. That is, among all the proper ideals of $R$,...

Abstract. We derive new combinatorial identities which may be viewed as multivariate analogs of summation formulas for hypergeometric series. As in the previous paper [Re], we start with probability distributions on the space of the infinite Young tableaux. Then we calculate the probability that the entry of a random tableau at a given box equals n = 1, 2, . . . . Summing these probabilities ov...

Atheism is not only a prevalent but a highly stigmatized element in American society, yet atheists have been denied a voice within sociological literature. As such, our knowledge of atheists is both limited and superficial. To compensate for such shortcomings, I focused my research on the stigmatized and marginalized minority of American atheists. As the atheist identity is generally achieved, ...

The set of all idempotent probability measures (Maslov measures) on a compact Hausdorff space endowed with the weak* topology determines is functorial on the category Comp of compact Hausdorff spaces. We prove that the obtained functor is normal in the sense of E. Shchepin. Also, this functor is the functorial part of a monad on Comp. We prove that the idempotent probability measure monad conta...

The present study was aimed at exploring the use of pronominal reference for identity representation in terms of power and solidarity in English political discourse. The investigation was based on a corpus of four political interviews and debates amounting 26,500 words. The analysis was both qualitative and quantitative. In the qualitative analysis, a discourse-analytic approach was used to fin...

Background: Medical professional identity is how an individual perceives him/herself as a doctor. Formation of professional identity includes development, advancement, and socialization through social learning of specific knowledge, skills obtained while performing professional roles, practicing, and new attitudes and values. A qualitative study was performed to examine live experience of under...

A frog jumps along the lattice points on the x-axis. Starting from x = x0, he jumps ` steps to the left with probability p, or he jumps r steps to the right with probability 1− p at each time. What is the probability that he ever lands on the origin? We answer this question by using a closed formula for ∑k≥0 (ck+s dk+t ) zk, which is an extension of the Pólya identity. We also include a combina...