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- W4313586148 abstract "<abstract><p>We extend two standard theorems on groups to gyrogroups: the direct product theorem and the cancellation theorem for direct products. Firstly, we prove that under a certain condition a gyrogroup $ G $ can be decomposed as the direct product of two subgyrogroups. Secondly, we prove that finite gyrogroups can be cancelled in direct products: if $ Acong B $, then $ Atimes Hcong Btimes K $ or $ Htimes Acong Ktimes B $ implies $ Hcong K $, where $ A, B, H, $ and $ K $ are finite gyrogroups.</p></abstract>" @default.
- W4313586148 created "2023-01-06" @default.
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- W4313586148 date "2023-01-01" @default.
- W4313586148 modified "2023-10-18" @default.
- W4313586148 title "Two theorems on direct products of gyrogroups" @default.
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- W4313586148 doi "https://doi.org/10.3934/math.2023317" @default.
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