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The antitumor promise of furo[2,3-<i>d</i>]pyrimidine: a 2016-2025 review. [PDF]
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Aggregicyclins Shed Light on Type II Polyketide Biosynthesis in <i>Myxococcota</i>. [PDF]
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Paclitaxel-induced tubulin dysfunction stalls parasite development: synergistic potential with artemisinin against resistant strains. [PDF]
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Controlled formation of versatile methylated compounds based on ring opening of 4-methyl-1-siloxy-1,4-epoxy-1,4-dihydrobenzene. [PDF]
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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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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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Rings of Quotients of Group Rings
Canadian Journal of Mathematics, 1969The group ring AG of a group G and a ring A is the ring of all formal sums Σg∈G agg with ag ∈ A and with only finitely many non-zero ag. Elements of A are assumed to commute with the elements of G. In (2), Connell characterized or completed the characterization of Artinian, completely reducible and (von Neumann) regular group rings ((2) also contains ...
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