Copycat brands mimic brand leaders to free ride on the latter's equity. However, little is known regarding if and how consumers confuse copycat as leading brand in purchasing. In this study, we applied a word-pair evaluation paradigm in which the first word was a brand name (copycat vs. normal brand both similar with a leading brand in category), followed by a product name (near vs. far from th...

Motivated by a model for syntactic control of interference, we introduce a general categorical concept of bire ectivity. Bire ective subcategories of a category A are subcategories with left and right adjoint equal, subject to a coherence condition. We characterise them in terms of splitidempotent natural transformations on idA. In the special case that A is a presheaf category, we characterise...

online, such as at www.dell.com or Amazon.com. Most solutions to the problem of organizing and integrating e-catalogs use a category-based hierarchy to structure a product catalog in a “one view fits all” fashion. This hierarchy is often determined by a system designer, who usually has a priori expectations of how customers will explore catalogs. However, customers might have different expectat...

Let G be a finite group and k be a field of characteristic p. We investigate the homotopy category K(Inj kG) of the category C(Inj kG) of complexes of injective (= projective) kG-modules. If G is a p-group, this category is equivalent to the derived category Ddg(C(BG; k)) of the cochains on the classifying space; if G is not a p-group it has better properties than this derived category. The ord...

In 2003, Di Nola, et.al. introduced the notion of MV -modules over a PMV algebra and A-ideals in MV -modules [5]. These are structures that naturally correspond to lu-modules over lu-rings [5]. Recall that an lu-ring is a pair (R,u), where (R, ⊕, ·, 0, ≤) is an l-ring and u is a strong unit of R (i.e, u is a strong unit of the underlying l-group) such that u · u ≤ u and l-ring is a structure (R...

Let L and H be algebras and coalgebras (but not necessarily bialgebras, and consider two maps R : H ⊗L → L⊗H and W : L⊗H → H ⊗L. We introduce a product K = L W⊲⊳R H , and we give necessary and sufficient conditions for K to be a bialgebra. Our construction generalizes products introduced by Majid [13] and Radford [20]. Also some of the pointed Hopf algebras that were recently constructed by Bea...