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 SM ISO690:2012ELZAYAT, Enas-M.. Construction of subdirectly irreducible SQS-skeins of cardinality n2m. In: Quasigroups and Related Systems, 2012, vol. 20, nr. 2(28), pp. 211-218. ISSN 1561-2848. |
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 Quasigroups and Related Systems |
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| Volumul 20, Numărul 2(28) / 2012 / ISSN 1561-2848 | ||||||
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| Pag. 211-218 | ||||||
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We give a construction for subdirectly irreducible SQS-skeins of cardinality n2m having a monolith with a congruence class of cardinality 2m for each integer m > 2. Moreover, the homomorphic image of the constructed SQS-skein modulo its atom is isomorphic to the initial SQS-skein. Consequently, we will construct an SK(n2m) with a derived SL(n2m) such that SK(n2m) and SL(n2m) are subdirectly irreducible and have the same congruence lattice.
Also, we may construct an SK(n2m) with a derived SL(n2m) in which the congruence lattice of SK(n2m) is a proper sublattice of the congruence lattice of SK(n2m). |
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| Cuvinte-cheie Steiner triple system, Steiner loop, sloop, subdirectly irreducible sloop |
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