2 PARTITIONING APPROACHES Partitioning digital circuits has become a key problem in the Computer Aided Engineering area during the last years. Design benefits of new technologies like MultiChip-Module designs or logic emulation strongly depends on partitioning results. Most published approaches are based on abstract graph models constructed from flat netlists, thus taking only connectivity info...

Let R be a ring and n a fixed positive integer, we investigate the properties of n-strongly Gorenstein projective, injective and flat modules. Using the homological theory , we prove that the tensor product of an n-strongly Gorenstein projective (flat) right R -module and projective (flat) left R-module is also n-strongly Gorenstein projective (flat). Let R be a coherent ring ,we prove that the...

Let R be a commutative ring. An R-module M is called co-multiplication provided that foreach submodule N of M there exists an ideal I of R such that N = (0 : I). In this paper weshow that co-multiplication modules are a generalization of strongly duo modules. Uniserialmodules of finite length and hence valuation Artinian rings are some distinguished classes ofco-multiplication rings. In additio...

This paper describes a compiler that generates both hardware and controlling software for eld-programmable compute accelerators. By analyzing a source program together with part of its input, the compiler generates VHDL descriptions of functional units that are mapped on a set of FPGA chips and an optimized sequence of control instructions that run on the customized machine. The primary techniq...

Let $A$ be a nite dimensional $k-$algebra and $R$ be a locally bounded category such that $R rightarrow R/G = A$ is a Galois covering dened by the action of a torsion-free group of automorphisms of $R$. Following [30], we provide criteria on the convex subcategories of a strongly simply connected category R in order to be a cycle- nite category and describe the module category of $A$. We p...