On the Structure of Groups Whose Non-normal Subgroups Are Core-Free
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DOI: 10.1007/s00009-019-1427-6
Abstract: A subgroup H of a group G is called core-free if \({\mathbf{Core}}_{G}(H)=\bigcap \nolimits _{x\in G}H^{x}=\langle 1\rangle \). In the current article, we study the groups in which every subgroup is either normal or core-free. read more here.
Keywords: normal subgroups; non normal; structure groups; core free ... See more keywords
Rings Whose Non-Invertible Elements are Strongly Weakly Nil-Clean
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DOI: 10.1142/s0219498827500617
Abstract: The target of the present work is to give a new insight in the theory of strongly weakly nil-clean rings, recently defined by Kosan and Zhou in the Front. Math. China (2016) and further explored… read more here.
Keywords: whose non; rings whose; strongly weakly; weakly nil ... See more keywords