we consider the class $mathfrak m$ of $bf r$--modules where $bf r$ is an associative ring. let $a$ be a module over a group ring $bf r$$g$, $g$ be a group and let $mathfrak l(g)$ be the set of all proper subgroups of $g$. we suppose that if $h in mathfrak l(g)$ then $a/c_{a}(h)$ belongs to $mathfrak m$. we investigate an $bf r$$g$--module $a$ such that $g not = g'$, $c_{g}(a) = 1$. we stud...

A Darwinian approach to decision-making mechanisms must focus on the representation of the options between which the animal decides. For example, in matching behavior, is the animal deciding between the different locations in which to forage or simply whether to leave its current location? A neurobiologically informed approach must be concerned with the mechanism of representation itself. In th...

Suppose that you are at a live jazz show. The drummer begins a solo. You see the cymbal jolt and you hear the clang. But in addition seeing the cymbal jolt and hearing the clang, you are also aware that the jolt and the clang are part of the same event. Casey O'Callaghan (forthcoming) calls this awareness "intermodal feature binding awareness." Psychologists have long assumed that multimodal pe...

This section considers how neural networks can be used as associative memory devices. It first describes what an associative memory is, and then moves on to describe associative memories based on feedforward neural networks and associative memories based on recurrent networks. The section also describes associative memory systems based on cognitive models. It also highlights the ability of neur...

Associative networks are a connectionist language model with the ability to categorize large sets of documents. In this research we combine monolingual associative networks based on Wikipedia to create a larger, multilingual associative network, using the cross-lingual connections between Wikipedia articles. We prove that such multilingual associative networks perform better than monolingual as...

We define and investigate a geometric object, called an associative geometry, corresponding to an associative algebra (and, more generally, to an associative pair). Associative geometries combine aspects of Lie groups and of generalized projective geometries, where the former correspond to the Lie product of an associative algebra and the latter to its Jordan product. A further development of t...