[PDF][PDF] Some results on hyper K-algebras

MM Zahedi, RA Borzoei, YB Jun, A Hasankhani - Scientiae Mathematicae, 2000 - jams.jp
… If Ë is a hyperÃ-algebra with respect to the hyperoperation "Æ" on À, we say that Ë is a …
Hence (À Æ 0) is a hyper K-algebra. Moreover, since for any Ü = , we have Ü Æ = 0 Ü , thus Ü . In …

Hyper -algebras

S Niazian, M Aaly Kologani… - Discrete Mathematics …, 2025 - World Scientific
… ) hyper ideals in hyper L-algebras and then by considering the congruence relation (relative
to a hyper ideal) on the hyper … will specially study on hyper KL-algebras, hyper CL-algebras …

An overview of hyper logical algebras

RA Borzooei, M Aaly - Journal of Algebraic Hyperstructures and …, 2020 - jahla.hatef.ac.ir
… of them called the hyper BCK-algebra and hyper K-algebra. Then many researchers in
this field continued their research and used hyperstructures on other logical algebras and …

Fuzzy structures on hyperK-algebras

RA Borzooei, M Mehdi Zahedi - International Journal of Uncertainty …, 2002 - World Scientific
… Now in this note, we define the notions of fuzzy hyperK-subalgebra, fuzzy (weak) hyperif-ideal
and fuzzy strongest relation of a hyper K-algebra. Then we give some related results. …

Results on hyper hoop-algebras

RA Borzooei, HR Varasteh, K Borna… - New Mathematics and …, 2017 - World Scientific
… A hyper K-algebra is a non-empty set H endowed with a hyperoperation and a constant 0
satisfying the following conditions, for all x, y, … Now, we show that ðA, , 0Þ is a hyper K-algebra. …

Results on hyper equality algebras

MA Hashemi, RA Borzooei - Journal of Mathematical Extension, 2019 - ijmex.com
… Also, it is easy to see that every hyper K-algebra is a hyper I-algebra. We show that every
hyper equality algebra that satisfies the conditions (I) and (II) is a hyper Kalgebra and hyper BE-…

K-theory of quadric hypersurfaces

RG Swan - Annals of Mathematics, 1985 - JSTOR
… non-degenerate on N = Rx + Ry and that N is free on x and y. … depend only on P and are
locally constant on Spec R. As in … Azumaya k-algebra is just a semisimple k-algebra whose …

Hyper MV ‐ideals in hyper MV ‐algebras

L Torkzadeh, A Ahadpanah - Mathematical Logic Quarterly, 2010 - Wiley Online Library
… Definition 2.5 [1] Let H be a non-empty set and “◦” be a hyper operation on H. Then H is called
a hyper K-algebra if it contains a constant “0” and satisfies the following axioms for all x, y, …

[PDF][PDF] Normal hyper K-algebras

T Roodbari, L Torkzadeh, MM Zahedi - Scientiae Mathematicae Japonicae, 2008 - jams.jp
… a hyper K-algebra. Also we define the notions of left (right) normal elements of types 1 and 2
of a hyper K-algebra and left (right) normal hyper … following hyper K-algebra structure on H = …

On hyper BI-algebras

S Niazian - Journal of Algebraic Hyperstructures and Logical …, 2021 - jahla.hatef.ac.ir
hyper BI-algebra. Finally, we survey the isomorphism theorems on structures of hyper BI-…
From now on, we suppose H is a CD-hyper BI-algebra and N is a normal subset of H unless …