Results 71 to 80 of about 154,678 (275)
Torsion classes of extended Dynkin quivers over commutative rings
Bulletin of the London Mathematical Society, EarlyView.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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On Group Codes Over Elementary Abelian Groups
Sultan Qaboos University Journal for Science, 2003 For group codes over elementary Abelian groups we present definitions of the generator and the parity check matrices, which are matrices over the ring of endomorphism of the group.
Adnan A. Zain
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Radical preservation and the finitistic dimension
Bulletin of the London Mathematical Society, EarlyView.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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ON THE GROUPS OF THE INFINITELY GENERATED FREE ABELIAN GROUPS AUTOMORPHISMS
Вестник Кемеровского государственного университета, 2015 Let A be an infinitely generated free abelian group. The paper shows that all automorphisms of the group Aut(A) are inner.
V. A. Tolstykh
doaj
Profinite direct sums with applications to profinite groups of type ΦR$\Phi _R$
Bulletin of the London Mathematical Society, EarlyView.Abstract We show that the ‘profinite direct sum’ is a good notion of infinite direct sums for profinite modules, having properties similar to those of direct sums of abstract modules. For example, the profinite direct sum of projective modules is projective, and there is a Mackey's formula for profinite modules described using these sums.
Jiacheng Tang
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Limits in compact abelian groups
, 2004 Let X be compact abelian group and G its dual (a discrete group). If B is an infinite subset of G, let C_B be the set of all x in X such that converges to 1. If F is a free filter on G, let D_F be the union of all the C_B for B in F.
Hart, Joan E., Kunen, Kenneth
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Hopfian additive groups of rings [PDF]
Известия Саратовского университета. Новая серия: Математика. Механика. ИнформатикаA group is called Hopfian if it is not isomorphic to any of its proper factor groups, or, equivalently, any of its epimorphisms on itself is an isomorphism, i.e., an automorphism. This property was first proved by the Swiss mathematician H.
Kaigorodov, Evgeniy Vladimirovich
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Abelian Livšic theorems for Anosov flows
Bulletin of the London Mathematical Society, EarlyView.Abstract We give two short proofs of the abelian Livšic theorem of Gogolev and Rodriguez Hertz. We show that these proofs may be extended to give new abelian Livšic theorems for positive density sets of null‐homologous orbits and for amenable covers.
Richard Sharp
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Mathematical Methods in the Applied Sciences, Volume 49, Issue 1, Page 435-444, 15 January 2026.ABSTRACT Cartan's equivalence method is applied to explicitly construct three‐dimensional invariant coframes for three branches, which are used to characterize scalar second‐order ODEs with a three‐point symmetry Lie algebra. Additionally, we present a method for constructing the point transformation based on the derived invariant coframes.
Ahmad Y. Al‐Dweik +5 more
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The abelianization of hypercyclic groups
Central European Journal of Mathematics, 2007 It was shown in the literature that the Abelianization of a hypercentral group has a considerable influence on the structure of the group itself. Since hypercentral groups are hypercyclic groups, it is natural to ask whether the results obtained for hypercentral groups extend to hypercyclic groups. In the article under review, different aspects of this
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