The subresultants play a fundamental role in elimination theory and computer algebra. Recently they have been extended to Ore polynomials. They are de ̄ned by an expression in the coe±cients of Ore polynomials. In this paper, we provide another expression for them. This expression is written in terms of the \solutions" of Ore polynomials (in \generic" case). It is a generalization of our previou...

In this work we present the model of “mobile object net systems” – an algebraic formalisation of the “nets within nets”-paradigm, which is well suited to express the dynamics of open, mobile systems, since it allows tokens to be active. The algebraic theory of “nets within nets” covers an integrated view of the two major topics concurrency and locality, which are central in the area of mobile c...

Let $R$ be a commutative ring with identity and $mathbb{A}(R)$ be the set   of ideals of $R$ with non-zero annihilators. In this paper, we first introduce and investigate the principal ideal subgraph of the annihilating-ideal graph of $R$, denoted by $mathbb{AG}_P(R)$. It is a (undirected) graph with vertices $mathbb{A}_P(R)=mathbb{A}(R)cap mathbb{P}(R)setminus {(0)}$, where   $mathbb{P}(R)$ is...

OBJECTIVE To identify the physiological and anthropometric determinants of sport climbing performance. METHODS Forty four climbers (24 men, 20 women) of various skill levels (self reported rating 5.6-5.13c on the Yosemite decimal scale) and years of experience (0.10-44 years) served as subjects. They climbed two routes on separate days to assess climbing performance. The routes (11 and 30 m i...

The present study examined the relationships between adherence to Asian and European cultural values and communication styles among 210 Asian American and 136 European American college students. A principal components analysis revealed that, for both Asian Americans and European Americans, the contentious, dramatic, precise, and open styles loaded onto the first component suggesting low context...

the generalized principal ideal theorem is one of the cornerstones of dimension theory for noetherian rings. for an r-module m, we identify certain submodules of m that play a role analogous to that of prime ideals in the ring r. using this definition, we extend the generalized principal ideal theorem to modules.