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A Historical Survey of the Fundamental Theorem of Arithmetic
Abstract The purpose of this article is a comprehensive survey of the history of the Fundamental Theorem of Arithmetic. To this aim we investigate the main steps during the period from Euclid toExpand
On graded prime and primary submodules
Let G be a multiplicative group. Let R be a G-graded commutative ring and M a G-graded R-module. Various properties of graded prime submodules and graded primary submodules of M are discussed. WeExpand
Applications of Fractional Differential Transform Method to Fractional Differential-Algebraic Equations
In this paper, we implement fractional differential transform method (FDTM), which is a semi analytical numerical technique, to fractional differential-algebraic equations (FDAEs). The fractionalExpand
Fuzzy Euclidean Ideals
In this paper we define a fuzzy Euclidean ideal of commutative ring with identity and similar fuzzy subsets of dierent rings. Then we study the intersection and the union of fuzzy Euclidean ideals.Expand
Weakly unique factorization modules
In this work we give the definition of weakly prime element of a module. Therefore we give a new definition of factorization in a module, which is called weakly factorization. So we call a moduleExpand
On euclidean rings
In this article we extend the concept of Euclidean rings and Motzkin's work to commutative rings (not necessarily with an identity).
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