Results 11 to 20 of about 557 (225)
On the linearity of torsion-free nilpotent groups of finite Morley rank [PDF]
Proceedings of the American Mathematical Society, 2008 It is proved that every torsion-free nilpotent group of finite Morley rank is isomorphic to a matrix group over a field of characteristic zero.
Altinel, T, Wilson, J
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Groups with minimax commutator subgroup [PDF]
International Journal of Group Theory, 2014 A result of Dixon, Evans and Smith shows that if $G$ is a locally (soluble-by-finite) group whose proper subgroups are (finite rank)-by-abelian, then $G$ itself has this property, i.e. the commutator subgroup of~$G$ has finite rank.
Francesco de Giovanni, Trombetti
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Dualities for torsion-free abelian groups of finite rank
Journal of Algebra, 1990 Two well-known dualities have been very useful in the study of torsionfree abelian groups of finite rank: Warlield duality for locally free groups and Arnold duality for quotient divisible groups [Wa, Ar]. In this note we establish a duality, on classes of torsion-free abelian groups of finite rank, which generalizes both Warlield and Arnold duality ...
W. Wickless, C. Vinsonhaler
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A Cancellation Criterion for Finite-Rank Torsion-Free Abelian Groups [PDF]
Proceedings of the American Mathematical Society, 1985 In this paper, a necessary ring-theoretical criterion is given for a finite-rank torsion-free abelian group to have the cancellation property. This generalizes results obtained by L. Fuchs and F. Loonstra [5] for the rank-one case and resolves the cancellation problem for strongly indecomposable groups.
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Summands of finite rank torsion free abelian groups
Journal of Algebra, 1974 AbstractA finite rank torsion free abelian group has, up to isomorphism, only finitely many summands.
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Strongly Homogeneous Torsion Free Abelian Groups of Finite Rank [PDF]
Proceedings of the American Mathematical Society, 1976 An abelian group is strongly homogeneous if for any two pure rank 1 subgroups there is an automorphism sending one onto the other. Finite rank torsion free strongly homogeneous groups are characterized as the tensor product of certain subrings of algebraic number fields with finite direct sums of isomorphic subgroups of Q Q , the ...
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Linking Heat Treatment to Plastic Deformation in Pearlitic Steels Through Mesoscale Modeling
Advanced Engineering Materials, EarlyView.Surface wear on rail and wheel steels results from surface deformation during use. This research uses mathematical models to forecast the plastic behavior of pearlitic steels, connected to the microstructure formed during heat treatment. While the cooling rate impacts the steels’ strength, the size of prior austenite grains and blocks does not ...
Saham Sadat Sharifi +5 more
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Transducer Materials Mediated Deep Brain Stimulation in Neurological Disorders
Advanced Functional Materials, EarlyView.This review discusses advanced transducer materials for improving deep brain stimulation (DBS) in neurological disorders. These materials respond to light, ultrasound, or magnetic fields, enabling precise, less invasive neuromodulation. Their stimulus‐responsive properties enhance neural control and adaptive therapy, paving the way for next‐generation ...
Di Zhao +5 more
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3D Concrete Printing of Triply Periodic Minimum Surfaces for Enhanced Carbon Capture and Storage
Advanced Functional Materials, EarlyView.A 3D‐printable and carbon‐capturing concrete is developed by replacing cement with diatomaceous earth (DE), which enhances rheology, provides hierarchical porosity, and serves as a nucleation site for carbonation. Maximum absorption of 488.7 gCO2 kgcement−1 is achieved in 7 days, a 142% increase over conventional concrete, and the triply periodic ...
Kun‐Hao Yu +9 more
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Advances in Micro/Nanofiber‐Based Porous Materials for High‐Performance Thermal Insulation
Advanced Functional Materials, EarlyView.Micro/nanofiber porous materials have engendered great interest in the thermal insulation field. Herein, the structural designs, fabrication techniques, and applications of the micro/nanofiber thermal insulation materials are systematically summarized.
Xiaobao Gong +5 more
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