In this paper, we try to determine when the derived category of an abelian category is the homotopy category of a model structure on the category of chain complexes. We prove that this is always the case when the abelian category is a Grothendieck category, as has also been done by Morel. But this model structure is not very useful for defining derived tensor products. We therefore consider ano...

Advertising is an area that is covered by many researches, however, over-the-counter reactions to this important marketing tool has not yet been touched. This article present an exploratory study on this market segment as it respond to the marketing mix involved in the launching of an over-the-counter brand originally successful in the ethical market. The author found that advertising passes tw...

We investigate preserving of projectivity and injectivity by the object-wise tensor product of RC-modules, where C is a small category. In particular, let O(G,X) be the category of canonical orbits of a discrete group G, over a G-set X. We show that projectivity of RO(G,X)-modules is preserved by this tensor product. Moreover, if G is a finite group, X a finite G-set and R is an integral domain...

In this paper we unify the developments of [Batanin, 1998], [BataninWeber, 2011] and [Cheng, 2011] into a single framework in which the interplay between multitensors on a category V , and monads on the category GV of graphs enriched in V , is taken as fundamental. The material presented here is the conceptual background for subsequent work: in [Batanin-Cisinski-Weber, 2013] the Gray tensor pro...

One of the open problems in higher category theory is the systematic construction of the higher dimensional analogues of the Gray tensor product of 2-categories. In this paper we continue the developments of [3] and [2] by understanding the natural generalisations of Gray’s little brother, the funny tensor product of categories. In fact we exhibit for any higher categorical structure definable ...

This study models innovation diffusion process with brand-level competition, focusing on the competition among ADSL service providers in Japan. For a particular brand (service provider), the diffusion process is assumed to be influenced by three forces: (1) the external influence through mass media, (2) the internal influence of the communication with the brand adopters, and (3) the influence d...

We introduce a tensor category O+ (resp. O−) of certain modules of ĝl∞ with non-negative (resp. non-positive) integral central charges with the usual tensor product. We also introduce a tensor category (Of , ⊙ ) consisting of certain modules over GL(N) for all N . We show that the tensor categories O± and Of are semisimple abelian and all equivalent to each other. We give a formula to decompose...

Abstract. In this paper we study the tensor category structure of the module category of the restricted quantum enveloping algebra associated to sl2. Indecomposable decomposition of all tensor products of modules over this algebra is completely determined in explicit formulas. As a by-product, we show that the module category of the restricted quantum enveloping algebra associated to sl2 is not...

This paper investigates into the determinants of capital structure for the small and medium sized enterprises (SMEs) in British manufacturing industry and the effects of product category on the determinants of capital structure. 220 SMEs from British manufacturing industry are selected for testing the six hypothesized relationships regarding the determinants of capital structure. Results sugges...

The product of safe Petri nets is a well known operation : it generalizes to concurrent systems the usual synchronous product of automata. In this paper, we consider a more general way of combining nets, called a pullback. The pullback operation generalizes the product to nets which interact both by synchronized transitions and/or by a shared sub-net (i.e. shared places and transitions). To obt...