Results 51 to 60 of about 97,313 (257)
On commutativity theorems for rings [PDF]
International Journal of Mathematics and Mathematical Sciences, 1990 Let R be an associative ring with unity. It is proved that if R satisfies the polynomial identity [xny − ymxn, x] = 0(m > 1, n ≥ 1), then R is commutative. Two or more related results are also obtained.
Mohammad Shadab Khan +1 more
openaire +2 more sources
S-n-ideals of commutative rings
Communications Faculty Of Science University of Ankara Series A1Mathematics and Statistics, 2023 Let $R$ be a commutative ring with identity and $S$ a multiplicatively closed subset of $R$. This paper aims to introduce the concept of $S-n$-ideals as a generalization of $n$-ideals. An ideal $I$ of $R$ disjoint with $S$ is called an $S-n$- ideal if there exists $s\in S$ such that whenever $ab \in I$ for $a,~b\in R,$ then $sa\in \sqrt{0}$ or $sb\in I$
Hani KHASHAN, Ece YETKİN ÇELİKEL
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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 +1 more
doaj +1 more source
The lambda-dimension of commutative arithmetic rings
, 2003 It is shown that every commutative arithmetic ring $R$ has $lambda$-dimension $ leq 3$. An example of a commutative Kaplansky ring with $ lambda$-dimension 3 is given. If $R$ satisfies an additional condition then $ lambda$-dim($R$
Bourbaki N. +4 more
core +3 more sources
A Quasi-Commutative Ring That is Not Neo-Commutative [PDF]
Proceedings of the American Mathematical Society, 1994 An example of a ring that is quasi-commutative but not neo-commutative is given.
openaire +2 more sources
Identities with derivations and automorphisms on semiprime rings
International Journal of Mathematics and Mathematical Sciences, 2005 The purpose of this paper is to investigate identities with derivations and automorphisms on semiprime rings. A classical result of Posner states that the existence of a nonzero centralizing derivation on a prime ring forces the ring to be commutative ...
Joso Vukman
doaj +1 more source
Generalizations of strongly hollow ideals and a corresponding topology
AIMS Mathematics, 2021 In this paper, we introduce and study the notions of $ M $-strongly hollow and $ M $-PS-hollow ideals where $ M $ is a module over a commutative ring $ R $. These notions are generalizations of strongly hollow ideals.
Seçil Çeken , Cem Yüksel
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RD-flatness and RD-injectivity
, 2006 It is proved that every commutative ring whose RD-injective modules are $\Sigma$-RD-injective is the product of a pure semi-simple ring and a finite ring.
François Couchot, Fuchs L., Renault G.
core +4 more sources
Semidegenerate Congruence-modular Algebras Admitting a Reticulation
Scientific Annals of Computer Science, 2023 The reticulation L(R) of a commutative ring R was introduced by Joyal in 1975, then the theory was developed by Simmons in a remarkable paper published in 1980. L(R) is a bounded distributive algebra whose main property is that the Zariski prime
George Georgescu
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Amphibious Generator via Mechanical Coupling for Versatile Energy Harvesting
Advanced Energy and Sustainability Research, EarlyView.An amphibious hybrid triboelectric nanogenerator–electromagnetic generator (TENG–EMG) efficiently harvests energy from wind and water. By integrating TENG and EMG units with a gear‐assisted mechanism, it enhances power output and powers small electronic devices.
Chi Zhang +7 more
wiley +1 more source