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| Ultima descărcare din IBN: 2022-11-12 21:42 |
 SM ISO690:2012VISHNE, Uzi. Four halves of the inverse property in loop extensions. In: Quasigroups and Related Systems, 2021, vol. 29, nr. 2(46), pp. 283-302. ISSN 1561-2848. |
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 Quasigroups and Related Systems |
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| Volumul 29, Numărul 2(46) / 2021 / ISSN 1561-2848 | ||||||
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Any two of the left, right, weak and antiautomorphic inverse properties of a loop imply the full inverse property. Considering these properties in the context of nuclear loop extensions 1!K!L!Q!1, we discover an action of the infinite dihedral group on C2(Q;K) whose subspaces fixed under odd subgroups precisely correspond to these classical loop properties. |
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