In the following, we describe a way of factoring polynomials in Fq[X] with Drinfeld modules. We furthermore analyse the complexity of the algorithm and compare it to the well-known Cantor-Zassenhaus algorithm. 1. Defining Fq[X ]-module structures with Drinfeld modules Throughout this paper we will denote A = Fq[X ], where q is a power of some prime p, and N ∈ A for the polynomial which is to be...

This paper is devoted for designing high speed arithmetic logic unit. All of us know that ALU is a module which can perform arithmetic and logic operations. The reason behind choosing this topic as a research work is that, ALU is the key element of digital processors like as microprocessors, microcontrollers, central processing unit etc. Every digital domain based technology depends upon the op...

The concepts of free modules, projective modules, injective modules and the likeform an important area in module theory. The notion of free fuzzy modules was introducedby Muganda as an extension of free modules in the fuzzy context. Zahedi and Ameriintroduced the concept of projective and injective L-modules. In this paper we give analternate definition for projective L-modules. We prove that e...

Let A be a nite dimensional hereditary algebra over a nite eld, H(A) and C(A) be respectively the Ringel-Hall algebra and the composition algebra of A. Deene r d to be the element P M] 2 H(A), where M] runs over the isomorphism classes of the regular A?modules with dimension vector d. We prove that r d and the exceptional A?modules all lie in C(A). Let K be the Kronecker algebra, P (resp. I) th...

A scheme often used for error tolerance of arithmetic circuits is the so-called Reduced Precision Redundancy (RPR). Rather than replicating multiple times entire module, RPR uses reduced precision (inexact) copies to significantly reduce redundancy overhead, while still being able correct largest errors. This paper focuses on low-power operation RPR; a new proposed. At circuit level, power gati...

The concept of the Extend Nearly Pseudo Quasi-2-Absorbing submodules was recently introduced by Omar A. Abdullah and Haibat K. Mohammadali in 2022, where he studies this it is relationship to previous generalizationsm especially 2-Absorbing submodule submodule, addition studying most important Propositions, charactarizations Examples. Now research, which considered a continuation definition tha...

We find that a compatible graded left-symmetric algebra structure on the Witt algebra induces an indecomposable module of the Witt algebra with 1-dimensional weight spaces by its left multiplication operators. From the classification of such modules of the Witt algebra, the compatible graded left-symmetric algebra structures on the Witt algebra are classified. All of them are simple and they in...

Nakajima (2003) introduced a t-deformation of q-characters, (q, t)-characters for short, and their twisted multiplication through the geometry of quiver varieties. The Nakajima (q, t)-characters of Kirillov-Reshetikhin modules satisfy a t-deformed T -system. The T -system is a discrete dynamical system that can be interpreted as a mutation relation in a cluster algebra in two different ways, de...

This paper is devoted for the design and implementation of a 32bit Arithmetic module it is used for vedic Mathematics algorithms. We have various arithmetic multiplication techniques like Urdhva, Tiryakbhyam, Nikhilam, and Anurupye has been thoroughly analyzed. A 32 x 32 bit multiplier using Urdhava Tiryakbhyam, it has been designed and using this multiplier, a MAC unit has been designed. An Ar...