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 SM ISO690:2012TORKZADEH, Lida, ZAHEDI, Mohammad-Mehdi. Dual positive implicative hyper K-ideals of type 3. In: Quasigroups and Related Systems, 2002, nr. 2(9), pp. 85-106. ISSN 1561-2848. |
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| Quasigroups and Related Systems | ||||||
| Numărul 2(9) / 2002 / ISSN 1561-2848 | ||||||
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| Pag. 85-106 | ||||||
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In this note _rst we de_ne the notion of dual positive implicative hyper K-ideal of type 3, where for simplicity is written by DPIHKI ¡ T3. Then we determine all of the nonisomorphic hyper K-algebras of order 3, which have D = f0; 1g as a DPIHKI ¡T3. To do this _rst we show that D = f1g and D = f1; 2g can not be DPIHKI ¡T3. Then we prove some lemmas which are needed for proving the main theorem. Finally we conclude that there are exactly 219 non-isomorphic hyper K-algebras of order 3 with the requested property. |
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