activity
20142022
most citedInvertible Ideals and Gaussian Semirings

4 citations · 5 across the 5 of their papers we have counts for

collaborators

7 papers

math.AC2022

On Radical of Intuitionistic Fuzzy Primary Submodule

Abbas Taherpour, Shaban Ghalandarzadeh, Parastoo Malakooti Rad +1

In this paper, we further study the theory of Intuitionistic fuzzy submodules and we will define intuitionistic fuzzy primary submodule with the help of the definition of a radical…

math.AC2019

Solving Linear Systems over Tropical Semirings through Normalization Method and its Applications

Fateme Olia, Shaban Ghalandarzadeh, Amirhossein Amiraslani +1

In this paper, we introduce and analyze a normalization method for solving a system of linear equations over tropical semirings. We use a normalization method to construct an assoc…

math.AC2019

Analysis of linear systems over idempotent semifields

Fateme Olia, Shaban Ghalandarzadeh, Amirhossein Amiraslani +1

In this paper, we present and analyze methods for solving a system of linear equations over idempotent semifields. The first method is based on the pseudo-inverse of the system mat…

math.AC2019★ 1 cited

Multiplication Semimodules

Rafieh Razavi Nazari, Shaban Ghalandarzadeh

Let be a semiring. An -semimodule is called a multiplication semimodule if for each subsemimodule of there exists an ideal of such that . In this p…

math.AC2019

Solving Linear Systems over Idempotent Semifields through -factorization

Sedighe Jamshidvand, Shaban Ghalandarzadeh, Amirhossein Amiraslani +1

In this paper, we introduce and analyze a new -factorization technique for square matrices over idempotent semifields. In particular, more emphasis is put on "max-plus" algebra…

math.AC2019

On the Maximal Solution of A Linear System over Tropical Semirings

Sedighe Jamshidvand, Shaban Ghalandarzadeh, Amirhossein Amiraslani +1

In this paper, we present methods for solving a system of linear equations, , over tropical semirings. To this end, if possible, we first reduce the order of the system thr…

math.AC2014★ 4 cited

Invertible Ideals and Gaussian Semirings

Shaban Ghalandarzadeh, Peyman Nasehpour, Rafieh Razavi

In the first section of this paper, we introduce the notions of fractional and invertible ideals of semirings and characterize invertible ideals of a semidomain. In section two, we…