Conţinutul numărului revistei |
Articolul precedent |
Articolul urmator |
939 5 |
Ultima descărcare din IBN: 2020-11-01 21:01 |
SM ISO690:2012 GRECU, Ion, SYRBU, Parascovia. Commutants of middle Bol loops. In: Quasigroups and Related Systems, 2014, vol. 22, nr. 1(31), pp. 81-88. ISSN 1561-2848. |
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Quasigroups and Related Systems | ||||||
Volumul 22, Numărul 1(31) / 2014 / ISSN 1561-2848 | ||||||
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Pag. 81-88 | ||||||
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The commutant of a loop is the set of all its elements that commute with each element of the loop. It is known that the commutant of a left or right Bol loop is not a subloop
in general. Below we prove that the commutant of a middle Bol loop is an AIP-subloop, i.e., a subloop for which the inversion is an automorphism. A necessary and sucient condition when the commutant is invariant under the existing isostrophy between middle Bol loops and the corresponding right Bol loops is given. |
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