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Dual positive implicative hyper K-ideals of type 3
Authors: Torkzadeh L., Zahedi M. M.
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Abstract
In this note first we define 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 = {0; 1} as a DPIHKI - T3. To do this first we show that D = {1} and D ={1; 2} 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.Torkzadeh L.,
Zahedi M. M.
Department of Mathematics Received May 21, 2002
Shahid Bahonar University of Kerman
Kerman
Iran
E-mail: (L. Torkzadeh)
E-mail: (M.M. Zahedi)
Zahedi M. M.
Department of Mathematics Received May 21, 2002
Shahid Bahonar University of Kerman
Kerman
Iran
E-mail: (L. Torkzadeh)
E-mail: (M.M. Zahedi)
Fulltext
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Contents
- Quasigroup power sets and cyclic S-systems
- The topological quasigroups with multiple identities
- Product of the symmetric group with the alternating group on seven letters
- Rough set theory applied to BCI-algebras
- A note on the Akivis algebra of a smooth hyporeductive loop
- A note on trimedial quasigroups
- Transversals in groups. 4. Derivation construction
- Dual positive implicative hyper K-ideals of type 3
