Results 81 to 90 of about 904 (238)
Residually rationally solvable one‐relator groups
Bulletin of the London Mathematical Society, Volume 58, Issue 1, January 2026.Abstract We show that the intersection of the rational derived series of a one‐relator group is rationally perfect and is normally generated by a single element. As a corollary, we characterise precisely when a one‐relator group is residually rationally solvable.
Marco Linton
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Local Cohomology Modules and Relative Cohen-Macaulayness
Discussiones Mathematicae - General Algebra and Applications, 2018 Let (R, 𝔪) denote a commutative Noetherian local ring and let M be a finite R-module. In this paper, we study relative Cohen-Macaulay rings with respect to a proper ideal 𝔞 of R and give some results on such rings in relation with Artinianness, Non ...
Zohouri M. Mast
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On the eigenvalues of zero-divisor graph associated to finite commutative ring [PDF]
, 2021 S. Pirzada +2 more
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Finitely presented dimension of commutative rings and modules [PDF]
Pacific Journal of Mathematics, 1984 The author defines a dimension, called the finitely presented dimension, for modules and commutative rings. This dimension measures how far away a module is from being finitely presented and how far away a ring is from being Noetherian. This dimension has nice properties when the ring in question is coherent.
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Torsion classes of extended Dynkin quivers over commutative rings
Bulletin of the London Mathematical Society, Volume 58, Issue 1, January 2026.Abstract For a Noetherian R$R$‐algebra Λ$\Lambda$, there is a canonical inclusion torsΛ→∏p∈SpecRtors(κ(p)Λ)$\mathop {\mathsf {tors}}\Lambda \rightarrow \prod _{\mathfrak {p}\in \operatorname{Spec}R}\mathop {\mathsf {tors}}(\kappa (\mathfrak {p})\Lambda)$, and each element in the image satisfies a certain compatibility condition.
Osamu Iyama, Yuta Kimura
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Low-Rank Parity-Check Codes Over Finite Commutative Rings [PDF]
, 2021 Hermann Tchatchiem Kamche +3 more
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Radical preservation and the finitistic dimension
Bulletin of the London Mathematical Society, Volume 58, Issue 1, January 2026.Abstract We introduce the notion of radical preservation and prove that a radical‐preserving homomorphism of left artinian rings of finite projective dimension with superfluous kernel reflects the finiteness of the little finitistic, big finitistic, and global dimension.
Odysseas Giatagantzidis
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Karpatsʹkì Matematičnì Publìkacìï, 2018 We investigate commutative Bezout domains in which any nonzero prime ideal is contained in a finite set of maximal ideals. In particular, we have described the class of such rings, which are elementary divisor rings.
B.V. Zabavsky, O.M. Romaniv
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Actions of finite groups on commutative rings I
Tamkang Journal of Mathematics, 2003 Let $R$ be a commutative ring with 1, and let $G$ be a finite group of automorphisms of $R$. Denote by $R^G$ the fixed subring of $G$, and let $I$ be a subset of $R^G$. In this paper we prove that if the ideal generated by $I$ in $R$ satisfies a certain property with regard to projectivity, flatness, multiplication or related concepts, then the ideal ...
Naoum, A. G., Al-Aubaidy, W. K.
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On the local Kan structure and differentiation of simplicial manifolds
Bulletin of the London Mathematical Society, Volume 58, Issue 1, January 2026.Abstract We prove that arbitrary simplicial manifolds satisfy Kan conditions in a suitable local sense. This allows us to expand a technique for differentiating higher Lie groupoids worked out in [8] to the setting of general simplicial manifolds. Consequently, we derive a method to differentiate simplicial manifolds into higher Lie algebroids.
Florian Dorsch
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