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Articolul precedent |
Articolul urmator |
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Ultima descărcare din IBN: 2020-06-05 18:08 |
SM ISO690:2012 BARROS, Luiz-G.. Loop algebras of loops whose derived subloop is central
. In: Quasigroups and Related Systems, 2006, vol. 14, nr. 1(15), pp. 1-9. ISSN 1561-2848. |
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Quasigroups and Related Systems | ||||||
Volumul 14, Numărul 1(15) / 2006 / ISSN 1561-2848 | ||||||
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Pag. 1-9 | ||||||
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The isomorphism problem for loops, that is, to know under which conditions the loop
algebra isomorphism implies the loop isomorphism, is studied in the semisimple case for
loops whose derived subloop is central. This is done by studying the structure of the
semisimple loop algebra and by proving that it can be decomposed as a direct sum of
an associative and commutative subalgebra with a nonassociative and non-commutative
subalgebra.
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