Purpose – In the literature, there is a lack of tools able to catch the symbolic dimension of the brand image, which go beyond rational and emotional dimensions. This paper aims to find and test a new instrument, named “Multi-Sensory Sort” (MuSeS). Design/methodology/approach – MuSeS, a direct methodology of exploring the consumer’s symbolic universe and the unconscious expectations, is compose...

Given the algebra T of ternions (upper triangular 2× 2 matrices) over a commutative field F we consider as set of points of a projective line over T the set of all free cyclic submodules of T 2. This set of points can be represented as a set of planes in the projective space over F 6. We exhibit this model, its adjacency relation, and its automorphic collineations. Despite the fact that T admit...

 Let $R$ be a ring‎, ‎and let $n‎, ‎d$ be non-negative integers‎. ‎A right $R$-module $M$ is called $(n‎, ‎d)$-projective if $Ext^{d+1}_R(M‎, ‎A)=0$ for every $n$-copresented right $R$-module $A$‎. ‎$R$ is called right $n$-cocoherent if every $n$-copresented right $R$-module is $(n+1)$-coprese-nted‎, ‎it is called a right co-$(n,d)$-ring if every right $R$-module is $(n‎, ‎d)$-projective‎. ‎$R$...

We compute the number of rational quartics on a general Calabi-Yau hypersurface in weighted projective space P(2, 1). The result agrees with the prediction made by mirror symmetry.

Introduction. The hypersurfaces in weighted projective spaces often appear as important examples in the context of mirror symmetry. In this paper, we describe the relation between polar duality and duality of weight systems. The duality of weights partly suggests why [CLS] produced a mirror symmetric phenomena using only a resolution of weighted hypersurface in weighted P. In fact, recently it ...

Given a weighted flag variety wΣ(μ, u) corresponding to chosen fixed parameters μ and u, we present an algorithm to compute lists of all possible projectively Gorenstein n-folds, having canonical weight k and isolated orbifold points, appearing as weighted complete intersections in wΣ(μ, u) or some projective cone(s) over wΣ(μ, u). We apply our algorithm to compute lists of interesting classes ...

In this paper‎, ‎we have shown that the coset diagrams for the‎ ‎action of a linear-fractional group $Gamma$ generated by the linear-fractional‎ ‎transformations $r:zrightarrow frac{z-1}{z}$ and $s:zrightarrow frac{-1}{2(z+1)}$ on‎ ‎the rational projective line is connected and transitive‎. ‎By using coset diagrams‎, ‎we have shown that $r^{3}=s^{4}=1$ are defining relations for $Gamma$‎. ‎Furt...

Two types of tests are available for studying personality. These are the paper-pencil tests and the projective tests. Projective techniques which reveal the subject's personality through his treatment of the test material are generally more valid and more revealing than the paper-pencil tests which require the underlining of words or the answering of "Yes" or "No" to a list of questions. This i...

Harron and Snowden (J. reine angew. Math. 729 (2017), 151–170) counted the number of elliptic curves over Q $\mathbb {Q}$ up to height X $X$ with torsion group G $G$ for each possible . In this paper, we generalize their result all fields level structures such that corresponding modular curve $X_G$ is a weighted projective line P ( w 0 , 1 ) {P}(w_0,w_1)$ morphism ? $X_G\rightarrow X(1)$ satisf...