Results 1 to 10 of about 295 (56)
Tri-Quasi Ideals of Γ-Semirings
Discussiones 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
Discussiones 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
مجلة 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
Discussiones 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
Journal 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
Left Zeroid and Right Zeroid Elements of Γ-Semirings
Discussiones 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 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
Bi-Interior Ideals of Γ-Semirings
Discussiones Mathematicae - General Algebra and Applications, 2018 In this paper, as a further generalization of ideals, we introduce the notion of bi-interior ideal as a generalization of quasi ideal, bi-ideal and interior ideal of Γ-semiring and study the properties of bi-interior ideals of Γ-semiring.
Rao Marapureddy Murali Krishna +1 more
doaj +1 more source
Residuated Structures Derived from Commutative Idempotent Semirings
Discussiones Mathematicae - General Algebra and Applications, 2019 Since the reduct of every residuated lattice is a semiring, we can ask under what condition a semiring can be converted into a residuated lattice. It turns out that this is possible if the semiring in question is commutative, idempotent, G-simple and ...
Chajda Ivan, Länger Helmut
doaj +1 more source
THE GEOMETRY OF BLUEPRINTS PART II: TITS–WEYL MODELS OF ALGEBRAIC GROUPS
Forum of Mathematics, Sigma, 2018 This paper is dedicated to a problem raised by Jacquet Tits in 1956: the Weyl group of a Chevalley group should find an interpretation as a group over what is nowadays called $\mathbb{F}_{1}$, the field with one element.
OLIVER LORSCHEID
doaj +1 more source