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Biomechanical effects of a novel anatomic fusion cage for anterior cervical corpectomy: a finite element study. [PDF]
Wu Z +8 more
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A Single-Source Dual-Drive Flexible Knee Assistive Exoskeleton for Elderly Daily Locomotion. [PDF]
Zhang S +5 more
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Canadian Journal of Mathematics, 1970
Throughout this paper a ring will always be an associative, not necessarily commutative ring with an identity. It is tacitly assumed that the identity of a subring coincides with that of the whole ring. A ring R is said to be residually finite if it satisfies one of the following equivalent conditions:(1) Every non-zero ideal of R is of finite index in
Chew, Kim Lin, Lawn, Sherry
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Throughout this paper a ring will always be an associative, not necessarily commutative ring with an identity. It is tacitly assumed that the identity of a subring coincides with that of the whole ring. A ring R is said to be residually finite if it satisfies one of the following equivalent conditions:(1) Every non-zero ideal of R is of finite index in
Chew, Kim Lin, Lawn, Sherry
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Algebra and Logic, 2023
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
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zbMATH Open Web Interface contents unavailable due to conflicting licenses.
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Algebras and Representation Theory, 2005
An algebra is representation finite if there are only finitely many isomorphism classes of indecomposable \(A\)-modules. If \(R\) is a left Noetherian ring then the author calls an \(R\)-module a lattice if its socle is \(0\). In the classical case this coincides with the usual concept of lattices over classical orders.
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An algebra is representation finite if there are only finitely many isomorphism classes of indecomposable \(A\)-modules. If \(R\) is a left Noetherian ring then the author calls an \(R\)-module a lattice if its socle is \(0\). In the classical case this coincides with the usual concept of lattices over classical orders.
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Communications in Algebra, 2012
Let R be a commutative ring with identity. R is a finite factorization ring (FFR) if every nonzero nonunit of R has only a finite number of factorizations up to order and associates. In this article, we give a characterization of R for R[X] and R[[X]] to be an FFR.
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Let R be a commutative ring with identity. R is a finite factorization ring (FFR) if every nonzero nonunit of R has only a finite number of factorizations up to order and associates. In this article, we give a characterization of R for R[X] and R[[X]] to be an FFR.
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On schur rings of group rings of finite groups
Communications in Algebra, 1992Schur rings are rings associated to certain partitions of finite groups. They were introduced for applications in representation theory, cfr. [3][4]. The algebric structure of these rings has not been studied in depth. In this paper we determine explicit structure constants for Schur rings, we derive conditions for separability and we compute the ...
Apostolopoulou, C. +2 more
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Finite Commutative Rings and Their Applications
2002Finite Commutative Rings and their Applications is the first to address both theoretical and practical aspects of finite ring theory. The authors provide a practical approach to finite rings through explanatory examples, thereby avoiding an abstract presentation of the subject.
Bini, G, FLAMINI, FLAMINIO
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Mathematical Journal of Okayama University, 1993
A ring \(R\) is called right (left) residually finite if every right (resp. left) ideal \(I\neq (0)\) is of finite index in \(R\). The number \(N(I)\) of elements in \(R/I\) is called the norm of \(I\). The author shows that a right residually finite ring is a right fully bounded Noetherian ring and gives some characterizations of such a ring ...
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A ring \(R\) is called right (left) residually finite if every right (resp. left) ideal \(I\neq (0)\) is of finite index in \(R\). The number \(N(I)\) of elements in \(R/I\) is called the norm of \(I\). The author shows that a right residually finite ring is a right fully bounded Noetherian ring and gives some characterizations of such a ring ...
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