Results 1 to 10 of about 267 (28)

Tri-Quasi Ideals of Γ-Semirings

open access: yesDiscussiones Mathematicae - General Algebra and Applications, 2021
In this paper, as a further generalization of ideals, we introduce the notion of tri-quasi ideal as a generalization of ideal, left ideal, right ideal, bi-ideal, quasi ideal, interior ideal, bi-interior ideal,weak interior ideal, bi-quasi ideal, tri ...
Rao Marapureddy Murali Krishna
doaj   +1 more source

Study of Additively Regular Г -Semirings and Derivations

open access: yesDiscussiones Mathematicae - General Algebra and Applications, 2022
In this paper, the notions of commutator and derivation in additively regular -semirings with (A2, Г)-condition are introduced. We also characterize Jordan product for additively regular Г -semiring and establish some results which investigate the ...
Dadhwal Madhu, Neelam
doaj   +1 more source

The Jacobson Radical of the Endomorphism Semiring of P.Q.- Principal Injective Semimodules

open access: yesمجلة بغداد للعلوم, 2020
In this work, we introduced the Jacobson radical (shortly Rad (Ș)) of the endomorphism semiring Ș =  ( ), provided that  is principal P.Q.- injective semimodule and some related concepts, we studied some properties and added conditions that we needed ...
Aljebory et al.
doaj   +1 more source

k-Simplicity of Leavitt Path Algebras with Coefficients in a k-Semifield

open access: yesDiscussiones Mathematicae - General Algebra and Applications, 2022
In this paper, we consider Leavitt path algebras having coefficients in a k-semifield. Concentrating on the aspect of k-simplicity, we find a set of necessary and sufficient conditions for the k-simplicity of the Leavitt path algebra LS(Γ) of a directed ...
Gupta Raibatak Sen, Sen M.K.
doaj   +1 more source

On the efficiency of a general attack against the MOBS cryptosystem

open access: yesJournal of Mathematical Cryptology, 2022
All instances of the semidirect key exchange protocol, a generalisation of the famous Diffie-Hellman key exchange protocol, satisfy the so-called telescoping equality; in some cases, this equality has been used to construct an attack.
Battarbee Christopher   +3 more
doaj   +1 more source

An ultradiscrete matrix version of the fourth Painleve equation [PDF]

open access: yes, 2006
We establish a matrix generalization of the ultradiscrete fourth Painlev\'e equation (ud-PIV). Well-defined multicomponent systems that permit ultradiscretization are obtained using an approach that relies on a group defined by constraints imposed by the
Field, Chris M., Ormerod, Chris M.
core   +4 more sources

The endomorphism semiring of a semilattice [PDF]

open access: yes, 2009
We prove that the endomorphism semiring of a nontrivial semilattice is always subdirectly irreducible and describe its monolith. The endomorphism semiring is congruence simple if and only if the semilattice has both a least and a largest ...
Jezek, J., Kepka, T., Maróti, Miklós
core   +1 more source

Left Zeroid and Right Zeroid Elements of Γ-Semirings

open access: yesDiscussiones Mathematicae - General Algebra and Applications, 2017
In this paper we introduce the notion of a left zeroid and a right zeroid of Γ -semirings. We prove that, a left zeroid of a simple Γ-semiring M is regular if and only if M is a regular Γ -semiring.
Rao M. Murali Krishna, Kumar K.R.
doaj   +1 more source

On some varieties of ai-semirings satisfying xp+1 ≈ x

open access: yesOpen Mathematics, 2018
The aim of this paper is to study the lattice of subvarieties of the ai-semiring variety defined by the additional ...
Wang Aifa, Shao Yong
doaj   +1 more source

Invertible Ideals and Gaussian Semirings [PDF]

open access: yes, 2017
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.
Ghalandarzadeh, Shaban   +2 more
core   +2 more sources

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