in this paper, we introduce the notion of an action $y_x$as a generalization of the notion of a module,and the notion of a norm $vt: y_xto f$, where $f$ is a field and $vartriangle(xy)vartriangle(y') =$ $ vartriangle(y)vartriangle(xy')$ as well as the notion of fuzzy norm, where $vt: y_xto [0, 1]subseteq {bf r}$, with $bf r$  the set of all real numbers. a great many standard mappings on algebr...

this paper continues the investigation of the rst author begun in part one. the hereditary properties of n-homomorphism amenability for banach algebras are investigated and the relations between n-homomorphism amenability of a banach algebra and its ide- als are found. analogous to the character amenability, it is shown that the tensor product of two unital banach algebras is n-homomorphism am...

in this note we consider the notion of intuitionistic fuzzy (weak) dual hyper k-ideals and obtain related results. then we classify this notion according to level sets. after that we determine the relationships between intuitionistic fuzzy (weak) dual hyper k-ideals and intuitionistic fuzzy (weak) hyper k-ideals. finally, we define the notion of the product of two intuitionistic fuzzy (weak) du...

 module over a ring is a general mathematical concept for many examples of mathematicalobjects that can be added to each other and multiplied by scalar numbers.In this paper, we consider a module over a ring as a universe and by using the notion of reference points, we provide local approximations for  subsets of the universe.

The notion of quasi-exact sequence of modules was introduced by B. Davvaz and coauthors in 1999 as a generalization of the notion of exact sequence. In this paper we investigate further this notion. In particular, some interesting results concerning this concept and torsion functor are given.

‎In this paper‎, ‎we introduce the notion of the radical of a $PMV$-algebra $A$ and we charactrize radical $A$ via elements of $A$‎. ‎Also‎, ‎we introduce the notion of the radical of a $cdot$-ideal in $PMV$-algebras‎. ‎Several characterizations of this radical is given‎. ‎We define the notion of a semimaximal $cdot$-ideal in a $PMV$-algebra‎. ‎Finally we show that $A/I$ has no nilpotent elemen...

This study is concerned with the use of specific tools from Mikhail Bakhtin’s comprehensive literary work in order to investigate the notion of time/space in Bahram Beyzaie’s 1979 movie, The Crow. Employing the Bakhtinian notion of chronotope in the analysis of the movie as a cinematic text proves helpful in developing the notion of anachronotopicity, which is then utilized to investigate the w...

Since the introduction of the X-bar principles it is commonly assumed that prepositions are heads of PPs, in the same way as nouns and pronouns are heads of NPs. However, while this is well motivated for a large majority of the pronouns and the prepositions in many languages, there are also exceptions. More specifically, Van Eynde (1999) argues that the reduced or minor pronouns of Dutch—as opp...

This paper presents an HPSG based treatment of minor signs, i.e. words which cannot head a phrasal projection. In contrast to what is commonly assumed in PSG, I will argue that the minor signs do not belong to separate speech parts, but that all speech parts have both major and minor members. This claim is substantiated with evidence from the Dutch personal pronouns and the English determiners....