University of Hatef (Hatef College University)
Journal of Algebraic Hyperstructures and Logical Algebras
2676-6000
2676-6019
1
2
2020
05
01
On the free S^{ω}_{1} -algebras
1
7
EN
A.
Di Nola
Department of Mathematics, University of Salerno, Italy
adinola@unisa.it
R.
Grigolia
Department of Mathematics, Tbilisi State University, Georgia
revaz.grigolia@tsu.ge
R.
Liparteliani
Institute of Cybernetics, Georgian Technical University, Georgia
r.liparteliani@yahoo.com
10.29252/hatef.jahla.1.2.1
One and two-generated free MV -algebras are algebraically described in the variety generated by perfect<br />MV -algebras.
MV -algebra,free algebra,generated free,perfect MV algebra,Variety
https://jahla.hatef.ac.ir/article_107882.html
https://jahla.hatef.ac.ir/article_107882_c14cc999526ac741880fda9ed9e82940.pdf
University of Hatef (Hatef College University)
Journal of Algebraic Hyperstructures and Logical Algebras
2676-6000
2676-6019
1
2
2020
05
01
Two dimensional event set and its application in algebraic structures
9
21
EN
Y.B.
Jun
0000-0002-0181-8969
Department of Mathematics Education, Gyeongsang National University, Jinju 52828, Korea
skywine@gmail.com
10.29252/hatef.jahla.1.2.2
Two dimensional event set is introduced, and it is applied to algebraic structures. Two dimensional BCK/BCI-eventful algebra, paired B-algebra and paired BCK/BCI-algebra are defined, and several properties are investigated. Conditions for two dimensional eventful algebra to be a B-algebra and a BCK/BCI-algebra are provided. The process of inducing a paired B-algebra using a group is discussed. Using two dimensional BCI-eventful algebra, a commutative group is established.
Two dimensional event (set),two dimensional BCK/BCIeventful algebra,paired Balgebra,paired BCK/BCIalgebra
https://jahla.hatef.ac.ir/article_107883.html
https://jahla.hatef.ac.ir/article_107883_93c682b3f244420e036169ada670a378.pdf
University of Hatef (Hatef College University)
Journal of Algebraic Hyperstructures and Logical Algebras
2676-6000
2676-6019
1
2
2020
05
01
Some properties of n-hyperideals in commutative hyperrings
23
30
EN
S.
Omidi
0000-0002-8487-9758
Department of Mathematics, Yazd University, Yazd, Iran.
omidi.saber@yahoo.com
B.
Davvaz
Department of Mathematics Yazd University, Yazd Iran
davvaz@yazd.ac.ir
J.
Zhan
Department of Mathematics, Hubei University for Nationalities,
Enshi, Hubei Province 445000, China
zhanjianming@hotmail.com
10.29252/hatef.jahla.1.2.3
In this paper, we reformulate several results in commutative algebra in terms of commutative hyperrings. We introduce n-hyperideals in commutative hyperrings and give its some basic properties. Based on new definitions and theorems, we obtain some results in the hyperring theory. Also, the paper is stated a characterization for fundamental n-hyperideals.
Commutative hyperring,homomorphism,n-hyperideal
https://jahla.hatef.ac.ir/article_107885.html
https://jahla.hatef.ac.ir/article_107885_b62b01d88e910fecee237b2c1dedef67.pdf
University of Hatef (Hatef College University)
Journal of Algebraic Hyperstructures and Logical Algebras
2676-6000
2676-6019
1
2
2020
05
01
Fuzzy congruence relations on pseudo BE-algebras
31
43
EN
A.
Rezaei
Department of Mathematics, Payame Noor University, P.o.box. 19395-3697, Tehran, Iran
rezaei@pnu.ac.ir
A.
Borumand Saeid
0000-0001-9495-6027
Department of Pure Mathematics, Faculty of Mathematics and Computer, Shahid Bahonar University of Kerman, Kerman, Iran
arsham@uk.ac.ir
Q.
Zhan
Department of Mathematics, Beihang University (BUAA), BUA-Haidian School of Applied Technology,
china
by1709120@buaa.edu.cn
10.29252/hatef.jahla.1.2.4
In this paper, we introduce the concept of fuzzy congruence relations on a pseudo BE-algebra and some of properties are investigated. We show that the set of all fuzzy congruence relations is a modular lattice and the quotient structure induced by fuzzy congruence relations is studied.
(pseudo) BE-algebra,(fuzzy) congruence relation,(fuzzy) medial filter
https://jahla.hatef.ac.ir/article_107886.html
https://jahla.hatef.ac.ir/article_107886_b085535d661de3bf0831f25c03c23bdb.pdf
University of Hatef (Hatef College University)
Journal of Algebraic Hyperstructures and Logical Algebras
2676-6000
2676-6019
1
2
2020
05
01
Hyper equality ideals: Basic properties
45
56
EN
A.
Paad
0000-0003-0929-9830
Department of Mathematics, University of Bojnord, Bojnord, Iran
akbar.paad@gmail.com
M.
Bakhshi
Department of Mathematics, Bojnord University, Bojnord, Iran
bakhshi@ub.ac.ir
10.29252/hatef.jahla.1.2.5
In this paper, the concept of (strong) hyper equality ideals in bounded hyper equality algebras are introduced and several properties and related results are given. Also, the properties of hyper equality ideals of the direct product of bounded hyper equality algebras are investigated; we prove that any (strong) hyper equality ideal of the direct product of hyper equality algebras is representable with respect to the product of (strong) hyper equality ideals of any direct component. In the sequel, we investigate the relationships between hyper equality ideals and hyper deductive systems in good bounded hyper equality algebras. Furthermore, we show how one can construct a hyper congruence relation via a strong hyper equality ideal so that the congruence classes form a hyper equality algebra.
(Involutive) Hyper equality algebra,(strong) hyper equality ideal,hyper congruence,Direct product
https://jahla.hatef.ac.ir/article_107888.html
https://jahla.hatef.ac.ir/article_107888_f05cf8098d355be1c2d9ca497172becb.pdf
University of Hatef (Hatef College University)
Journal of Algebraic Hyperstructures and Logical Algebras
2676-6000
2676-6019
1
2
2020
05
01
MBJ-neutrosophic filters of equality algebras
57
75
EN
M.
Mohseni Takallo
0000-0002-4113-3657
Department of Mathematics, Shahid Beheshti University, Tehran, Iran
mohammad.mohseni1122@gmail.com
M.
Aaly
Hatef University
mona4011@gmail.com
10.29252/hatef.jahla.1.2.6
In this paper, we introduce the notion of MBJneutrosophic sub-algebra and MBJ-neutrosophic filter on equality algebras and investigate some equivalence definitions, properties and the relation between them. Also, by using the notion of MBJ-neutrosophic filter, we introduce a congruence relation on equality algebra and show that the quotient is an equality algebra.
MBJ-neutrosophic set,MBJneutrosophic filter,Equality algebra,Filter
https://jahla.hatef.ac.ir/article_107889.html
https://jahla.hatef.ac.ir/article_107889_02b5186de3ea9d6dc491235f5cc47bb0.pdf
University of Hatef (Hatef College University)
Journal of Algebraic Hyperstructures and Logical Algebras
2676-6000
2676-6019
1
2
1999
11
30
A note on UP-hyperalgebras
77
95
EN
A.
Iampan
0000-0002-0475-3320
University of Phayao
aiyared.ia@up.ac.th
A.
Satirad
0000-0003-4616-3027
University of Phayao
akarachai.sa@gmail.com
M.
Songsaeng
0000-0002-2786-0196
University of Phayao
metawee.faith@gmail.com
10.29252/hatef.jahla.1.2.7
We introduce the concept of UP-hyperalgebras which is a generalization of UP-algebras, and investigate some related properties. Moreover, we introduce the concepts of UP-hypersubalgebras, UP-hyperideals of types 1 and 2, and s-UP-hyperideals of types 1 and 2 in UPhyperalgebras and give some relations among these co
UP-hyperalgebra,UP-hyper subalgebra,UP-hyperideal of types 1 and 2,s-UPhyperideal of types 1 and 2
https://jahla.hatef.ac.ir/article_107891.html
https://jahla.hatef.ac.ir/article_107891_b612a2b349b27cd543ec29a2db61be7d.pdf