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SM ISO690:2012 SYRBU, Parascovia. On some transformation groups of loops. In: Conference on Applied and Industrial Mathematics: CAIM 2021, 17-18 septembrie 2021, Iași, România. Chișinău, Republica Moldova: Casa Editorial-Poligrafică „Bons Offices”, 2021, Ediţia a 28-a, pp. 54-55. |
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Conference on Applied and Industrial Mathematics Ediţia a 28-a, 2021 |
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Conferința "Conference on Applied and Industrial Mathematics" Iași, România, Romania, 17-18 septembrie 2021 | ||||||
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Pag. 54-55 | ||||||
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Let Q be a loop. The mappings x-ax, x 7xa and x - a=x are called, respectively, the left, right and middle translation with a. We consider the group TMlt(Q)), generated by all left, right and middle translations of the loop Q, which is called the total multiplication group of Q, and the stabilizer of the unit in TMlt(Q)), denoted by TInn(Q). |
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