This paper présents a new approach for multi-objective optimization of area-delay-power simultaneously for VLSI implementation of digital finite impulse response filter. It is based on use of concept of multiple constant multiplication approach with partial product sharing and coefficient reuse in multiplier module and /or digit serial architecture in adder module design along with fixed point ...

A right R-module M is called a generalized q.f.d. module if every M-singular quotient has finitely generated socle. In this note we give several characterizations to this class of modules by means of weak injectivity, tightness, and weak tightness that generalizes the results in [25], Theorem 3. In particular, it is shown that a module M is g.q.f.d. iff every direct sum of M -singular M -inject...

This paper is concerned with finite unions of ideals and modules. The first main result is that if N ⊆ N1 ∪N2 ∪ · · · ∪Ns is a covering of a module N by submodules Ni, such that all but two of the Ni are intersections of strongly irreducible modules, then N ⊆ Nk for some k. The special case when N is a multiplication module is considered. The second main result generalizes earlier results on co...

Multi-spectral semantic segmentation has shown great advantages under poor illumination conditions, especially for remote scene understanding of autonomous vehicles, since the thermal image can provide complementary information RGB image. However, methods to fuse from and are still under-explored. In this paper, we propose a simple but effective module, add–multiply fusion (AMFuse) fusion, cons...

We construct the super Koszul complex of a free supercommutative $A$-module $V$ rank $p|q$ and prove that its homology is concentrated in single degree it yields an exact resolution $A$. then study dual show as well isomorphic to $\Pi^{p+q} A$, with $\Pi$ parity changing functor. Finally, we that, given automorphism $V$, induced transformation on only non-trivial class by multiplication Berezin...

The paper deals with the study of existence weak positive solutions for a new class Kirrchoff elliptic systems in bounded domains multiple parameters, where right hand side defined as multiplication two separate functions.

Finitely-hollow lifting and hollow-weak modules are two generalizations of hollow module which is a weaker version module. In this paper, we have defined another generalization hollow-lifting namely finitely-hollow-weak (f-hollow-weak lifting) Various properties been seen found that, it not closed under quotients summands in general, so sufficient conditions provided f-hollow-weak property inhe...

Let (H,R) be a quasitriangular weak Hopf algebra, and A a quantum commutative weak H-module algebra. We establish the relationship of homological dimensions between weak smash product algebra A#H and A under some conditions. As an application, we consider the case of twisted weak Hopf algebra. Mathematics Subject Classification (2010): 16T05