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512.548+514.763 (1) |
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Дифференциальная геометрия. Алгебраические и аналитические методы в геометрии (27) |
SM ISO690:2012 GRECU, Ion. On pseudoautomorphisms of middle bol loops. In: Studia Universitatis Moldaviae (Seria Ştiinţe Exacte şi Economice), 2015, nr. 7(87), pp. 60-70. ISSN 1857-2073. |
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Studia Universitatis Moldaviae (Seria Ştiinţe Exacte şi Economice) | ||||||
Numărul 7(87) / 2015 / ISSN 1857-2073 /ISSNe 2345-1033 | ||||||
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CZU: 512.548+514.763 | ||||||
Pag. 60-70 | ||||||
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A loop is called a middle Bol loop if every loop isotope of satisfies the identity (x ⋅ y)−1 = y−1x−1 (i.e. if the anti-automorphic inverse property is universal in ) [1]. Middle Bol loops are isostrophes of left (right) Bol loops [2, 4]. The left (right, middle) pseudoautomorphisms of middle Bol loops are considered in the present article. The general form of middle Bol loop’s autotopisms is given using right pseudoautomorphisms of the corresponding right Bol loops. Necessary and sufficient conditions when a LP-isotope of a middle Bol loop is isomorphic to are proved. It is shown that in the left (right) Bol loops every middle pseudoautomorphism is a left (right) pseudoautomorphism. Connections between the groups of pseudoautomorphisms (left, right, middle) of a middle Bol loop and of the corresponding left Bol loop are found |
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Cuvinte-cheie middle Bol loop, middle (left, right) pseudoautomorphism, autotopy, isostrophy. |
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