Results 31 to 40 of about 8,103 (256)

Subrings of I-rings and S-rings

International Journal of Mathematics and Mathematical Sciences, 1997
Let R be a non-commutative associative ring with unity 1≠0, a left R-module is said to satisfy property (I) (resp. (S)) if every injective (resp. surjective) endomorphism of M is an automorphism of M.
Mamadou Sanghare
doaj   +1 more source

Pure Graph of a Commutative Ring

Wasit Journal for Pure Sciences, 2023
A new definition of a graph called Pure graph of a ring denote Pur(R) was presented , where the vertices of the graph represent the elements of R such that there is an edge between the two vertices ???? and ???? if and only if ????=???????? ???????? ????
Nermen J.Khalel, Nabeel E.Arif, Tamadher Arif Ibrahiem   +2 more
doaj   +1 more source

Commutators in Rings

Irish Mathematical Society Bulletin, 1996
Summary: We exhibit with proof a ring of minimal order in which the commutator subset is not a subring.
openaire   +2 more sources

A Commutativity Theorem for Rings [PDF]

Proceedings of the American Mathematical Society, 1976
Let R R be any associative ring. Suppose that for every pair
openaire   +2 more sources

$(\delta, 2)$-primary ideals of a commutative ring [PDF]

, 2020
summary:Let $R$ be a commutative ring with nonzero identity, let $\mathcal {I(R)}$ be the set of all ideals of $R$ and $\delta \colon \mathcal {I(R)}\rightarrow \mathcal {I(R)}$ an expansion of ideals of $R$ defined by $I\mapsto \delta (I)$. We introduce
Çelikel, Ece Yetkin, Yetkin Çelikel, Ece, Ulucak, Gülşen   +2 more
core   +1 more source

Some properties of graded comultiplication modules

Open Mathematics, 2017
Let G be a group with identity e. Let R be a G-graded commutative ring and M a graded R-module. In this paper we will obtain some results concerning the graded comultiplication modules over a commutative graded ring.
Al-Zoubi Khaldoun, Al-Qderat Amani
doaj   +1 more source

A note on comaximal ideal graph of commutative rings

AKCE International Journal of Graphs and Combinatorics, 2020
Let be a commutative ring with identity. The comaximal ideal graph of is a simple graph with its vertices are the proper ideals of R which are not contained in the Jacobson radical of , and two vertices and are adjacent if and only if .
S. Kavitha, R. Kala
doaj   +1 more source

On L-Fuzzy Multiplication Modules

Discussiones Mathematicae - General Algebra and Applications, 2017
Let L be a complete lattice. In a manner analogous to a commutative ring, we introduce and investigate the L-fuzzy multiplication modules over a commutative ring with non-zero identity.
Atani Shahabaddin Ebrahimi, Saraei Fatemeh Esmaeili Khalil   +1 more
doaj   +1 more source

An exciting Approach to Theoretical Spectroscopy

Advanced Science, EarlyView.
ABSTRACT Theoretical spectroscopy, and more generally, electronic‐structure theory, are powerful concepts for describing the complex many‐body interactions in materials. They cover methods from ground‐state properties to lattice excitations and light‐matter interaction, including time‐resolved variants.
Martí Raya‐Moreno, Alexander Buccheri, Noah Alexy Dasch, Nasrin Farahani, Ignacio Gonzalez Oliva, Andris Gulans, Seokhyun Hong, Manoar Hossain, Hannah Kleine, Martin Kuban, Sven Lubeck, Benedikt Maurer, Pasquale Pavone, Fabian Peschel, Daria Popova‐Gorelova, Lu Qiao, Elias Richter, Santiago Rigamonti, Ronaldo Rodrigues Pela, Maximilian Schebek, Kshitij Sinha, Daniel T. Speckhard, Jan Stutz, Sebastian Tillack, Dmitry Tumakov, Jānis Užulis, Mara Voiculescu, Cecilia Vona, Mao Yang, Claudia Draxl   +29 more
wiley   +1 more source

Free integro-differential algebras and Groebner-Shirshov bases [PDF]

, 2014
The notion of commutative integro-differential algebra was introduced for the algebraic study of boundary problems for linear ordinary differential equations. Its noncommutative analog achieves a similar purpose for linear systems of such equations.
Guo, Li, Gao, Xing, Rosenkranz, Markus, Markus Rosenkranz, Li Guo, Xing Gao   +5 more
core   +1 more source