Results 111 to 120 of about 1,089,172 (249)
Another Proof of Levitzki’s Theorem for Prime Rings and Application to k-skew Commuting Property
In this paper, we provide another proof of Levitzki’s theorem for prime rings with k!-torsion-free using the Vandermonde determinant, which states that a prime ring contains no nonzero nilpotent left or right ideal.
Yazhou Zhang
doaj +1 more source
A NOTE ON AUTOMORPHISMS OF PRIME RINGS
In [Acta Sci. Math. 56, No. 3-4, 369-375 (1992; Zbl 0792.16033)] the reviewer proved that if automorphisms \(\alpha\) and \(\beta\) of a prime ring \(R\) of characteristic not 2 commute and satisfy \(\alpha+\alpha^{-1}=\beta+\beta^{-1}\), then either \(\alpha=\alpha^{-1}\) or \(\beta=\beta^{-1}\).
Chaudhry, A., Thaheem, A. B.
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TisIBP8, a fungal‐derived hyperactive ice‐binding protein, helps Caenorhabditis elegans survive dehydration. It localizes near cell membranes, reduces cell damage, and helps maintain membrane structure during drying. These results suggest that ice‐binding proteins can protect cells from dehydration stress as well as freezing stress.
Daiki Shimose +9 more
wiley +1 more source
Derivations in differentially prime rings
Earlier properties of Lie rings [Formula: see text] of derivations in commutative differentially prime rings [Formula: see text] was investigated by many authors.
Orest D. Artemovych +2 more
core +1 more source
On Classical Prime Near-ring Modules [PDF]
In 2005, M. Behboodi introduced the notion of a classical prime ring module, which he showed is, in general, nonequivalent to a (Dauns) prime ring module. In this paper, we extended the idea of classical primeness to near-ring module.
Juglal, S., Djagba, P.
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The Conversion of 5,5′-Bi(1,2,3-dithiazolylidenes) into Isothiazolo[5,4-d]isothiazoles
Thermolysis of 4,4′-dichloro-, 4,4′-diaryl-, and 4,4′-di(thien-2-yl)-5,5′-bi(1,2,3-dithiazol-ylidenes) affords the respective 3,6-dichloro-, 3,6-diaryl- and 3,6-di(thien-2-yl)isothiazolo[5,4-d]-isothiazoles in low to high yields ...
Lidia S. Konstantinova +7 more
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Nilpotency of derivations in prime rings [PDF]
In 1957, E. C. Posner proved that if λ \lambda
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Molecular characterization of covRS mutations in M1UK Streptococcus pyogenes
Group A Streptococcus (GAS) acquires covRS mutations driving a hypervirulent bacterial state, frequently associated with invasive disease‐like necrotizing fasciitis. We demonstrate that the newly emerged M1UK GAS lineage can also acquire these mutations.
Jarrad Pritchard +12 more
wiley +1 more source
On (σ, δ)(S, 1) rings and their extensions [PDF]
Let R be a ring, σ an endomorphism of R and δ a σ derivation of R. We recall that R is called an (S, 1)-ring if for a, b _ R, ab = 0 implies aRb = 0. We involve σ and δ to generalize this notion and say that R is a (σ, δ) - (S, 1) ring if for a, b _ R ...
Bhat Kumar Vijay
doaj
Approximaitly Semi-Prime Submodules and Some Related Concepts
We introduce in this paper the concept of approximaitly semi-prime submodules of unitary left -module over a commutative ring with identity as a generalization of a prime submodules and semi-prime submodules, also generalization of quasi-prime ...
Ali Sh. Ajeel, Haibat K. Mohammad ali
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