LAUSR

Eparability of Schur Rings Over an Abelian Group of Order 4p

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1 Published in 2019 at "Journal of Mathematical Sciences"

DOI: 10.1007/s10958-019-04563-9

Abstract: An $S$-ring (a Schur ring) is said to be separable with respect to a class of groups $\mathcal{K}$ if every its algebraic isomorphism to an $S$-ring over a group from $\mathcal{K}$ is induced by a… read more here.

Keywords: abelian group; group; schur rings; group order ... See more keywords

Schur rings over

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1 Published in 2021 at "Communications in Algebra"

DOI: 10.1080/00927872.2021.1922695

Abstract: Abstract For the direct product of infinite cyclic group and a cyclic group of order 3, the Schur rings over it are classified. In particular, all the Schur rings are proved to be traditional. read more here.

Keywords: schur rings;

On Separable Schur Rings over Abelian Groups

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1 Published in 2021 at "Algebra Colloquium"

DOI: 10.1142/s100538672100033x

Abstract: A finite group is said to be weakly separable if every algebraic isomorphism between two [Formula: see text]-ringsover this group is induced by a combinatorial isomorphism. We prove that every abelian weakly separable group only… read more here.

Keywords: separable schur; rings abelian; abelian groups; schur rings ... See more keywords