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The Lord of the Rings: Cysteine bonds crosslink the tail of siphovirus. [PDF]
Protein SciPovilonienė S +9 more
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Canadian Mathematical Bulletin, 1975 Let R and S be rings with 1, G a group and RG and SG the corresponding group rings. In this paper, we study the problem of when RG≃SG implies R≃S. This problem was previously investigated in [8] for the case where G is assumed to be infinite cyclic.
M. M. Parmenter
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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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Canadian Journal of Mathematics, 1970
Let R be a commutative ring with unity and let G be a group. The group ring RG is a free R-module having the elements of G as a basis, with multiplication induced byThe first theorem in this paper deals with idempotents in RG and improves a result of Connell.
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Let R be a commutative ring with unity and let G be a group. The group ring RG is a free R-module having the elements of G as a basis, with multiplication induced byThe first theorem in this paper deals with idempotents in RG and improves a result of Connell.
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Canadian Journal of Mathematics, 1963
LetRbe the discrete group ring of the groupGover the ringA. In this paper we attempt to find necessary and sufficient conditions onGandAso thatRwill have some standard ring-theoretic property ; among the properties considered are those of being artinian, regular, self-injective, and semi-prime.The contents of this paper form essentially the author's ...
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LetRbe the discrete group ring of the groupGover the ringA. In this paper we attempt to find necessary and sufficient conditions onGandAso thatRwill have some standard ring-theoretic property ; among the properties considered are those of being artinian, regular, self-injective, and semi-prime.The contents of this paper form essentially the author's ...
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Periodica Mathematica Hungarica, 2021
If \(R\) is a ring and \(G\) is a group, the author proves that every finitely generated left module over the group ring \(RG\) can be embedded into some free left \(RG\)-module if and only if \(G\) is finite and every finitely generated left module over the ring \(R\) can be embedded into some free left \(R\)-module.
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If \(R\) is a ring and \(G\) is a group, the author proves that every finitely generated left module over the group ring \(RG\) can be embedded into some free left \(RG\)-module if and only if \(G\) is finite and every finitely generated left module over the ring \(R\) can be embedded into some free left \(R\)-module.
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