Bitonic Cebirlerin Direkt Çarpımları
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Date
2022
Authors
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Publisher
Adiyaman University
Open Access Color
GOLD
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Abstract
Bu çalışmanın amacı bitonic cebirlerin direkt çarpımları olup bitonic cebirlerin direkt çarpımlarının ilgili özelliklerini çalışmaktır. Ayrıca değişmeli bitonic cebirlerinin direkt çarpımları bitonic homomorfizmalar incelenmiş ve değişmeli bitonic cebirlerin direkt çarpımlarının da değişmeli olduğu elde edilmiş ve direkt çarpımların homomorfizmaları da çalışılmıştır.
Description
ORCID
Keywords
Matematik, Homomorphisms, Bitonic Algebras, Direct Product, Filters, Bitonic algebras;Direct product;Homomorphisms;Filters, Matematik, Mathematical Sciences
Fields of Science
0106 biological sciences, 0101 mathematics, 01 natural sciences, 0104 chemical sciences
Citation
[1] Komori Y. The class of BCC-algebras is not variety Mathematica Japonica 29 (3) 391-394 1984.[2] Dudek W.A. The number of subalgebras of finite BCC-algebras Bulletin of the Institute of Mathematics 20 (2) 129-135 1992.[3] Iseki K. An algebra related with a propositional calculus Proceedings of the Japan Academy 42 (1) 26-29 1966.[4] Iseki K. Tanaka S. An Introduction to the theory of BCK-algebras Mathematica Japonica 23 1-26 1978.[5] Borzooei R.A. Khosravi Shoar S. Implication algebras are equivalent to the dual implicative BCK-algebras Scientiae Mathematicae Japonicae 63 (3) 429-431 2006.[6] Kim K.H. Yon Y.H. Dual BCK-algebra and MV-algebra Scientiae Mathematicae Japonicae 66 (2) 247-253 2007.[7] Yon Y.H. Kim K.H. On Heyting algebras and dual BCK-algebras Bulletin of the Iranian Mathematical Society 38 (1) 159-168 2012.[8] Diego A. Sur lès algèbres de Hilbert Collection de Logique Mathématique Sèr. A. 21 1966.[9] Halas R. Remarks on commutative Hilbert algebras Mathematica Bohemica 127 (4) 525-529 2002.[10] Henkin L. An algebraic characterization of quantifiers Fundamenta Mathematicae 37 63-74 1950.[11] Marsden E.L. Compatible elements in implicative models Journal of Philosophical Logic 1 156-161 1972.[12] Curry H.B. Foundations of Mathematical Logic McGraw-Hill New York 1963.[13] Birkhoff G. Lattice Theory American Mathematical Society Colloquium Publications Providence RI. 1967.[14] Abbot J.C. Algebras of implication and semi-lattices Sèminarire Dubreil (Algèbre et thèorie des nombres) 20e (2) exp. no 20 1-8 1966-1967.[15] Xu Y. Lattice implication algebras Journal of Southwest Jiaotong University. 1 20- 27 1993.[16] Xu Y. Lattice H implication algebras and lattice implication algebra classes Journal of Hebei Mining and Civil Engineering Institute 3 139-143 1992.[17] Yon Y.H. Ayar Özbal Ş. On derivations and generalized derivations of bitonic algebras Applicable Analysis and Discrete Mathematics 12 110-125 2018.[18] Lingcong J.A.V Endam J.C. Direct product of B-algebras International Journal of Algebra 10 33-40 (2016).[19] Setani A. Gemawati S. Deswita L. Direct product of BP-algebras International Journal of Mathematics Trends and Technology 66 (10) 63-69 2020.
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Source
Adıyaman University Journal of Science
Volume
12
Issue
1
Start Page
56
End Page
69
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