Generalized Algebras Type Sigma
คำสำคัญ:
generalized sigma algebra, generalized sigma subalgebra, congruence relation, homomorphism, isomorphismบทคัดย่อ
In this research, the concepts of generalized algebra type sigma is introduced. We explore some basic properties of this algebra. The concepts of subalgebra, congruence relation, homomorphism and isomorphism are discussed on a generalized algebra type sigma. Some properties concerning to such concepts are obtained.
เอกสารอ้างอิง
Arworn. (2000).Groupoids of Hypersubstitutions and G-solid Varieties. Shaker Verlag, Aachen.
Bergman. (2015). An Invitation to General Algebra and Universal Constructions, (2nd ed). Springer, Cham.
Birkhoff and J. D. Lipson.(1970). “Heterogeneous algebras,” Journal of Combinatorial Theory, vol. 8, pp. 115–133.
Birkhoff and O. Frink.(1948). “Representations of lattices by sets,” Transactions of the American Mathematical Society, vol. 64, pp. 299–316.
Bodirsky. (2023. Graph Homomorphisms and Universal Algebra Course Notes. TU Dresden, Germany.
Burris and H. P. Sankappanavar. (1981). A Course in Universal Algebra. Springer-Verlag, New York
Cohn. (1965). Universal Algebra. Harper & Row, New York.
Csákány. (2005). “Minimal clones—a minicourse,” Algebra Universalis, vol. 54, pp. 73–89.
Denecke and Leeratanavalee, S. (2003). “The Semantical Kernel Of a Generalized Hypersubstitution,” Southeast Asian Bulletin of Mathematics, vol. 27, no. 2, pp. 223–233.
Denecke and S. L. Wismath. (2002).Universal Algebra and Applications in Theoretical Computer Science. Chapman & Hall/CRC, Boca Raton.
Grätzer and W. A. Lampe . (1967). “On subalgebra lattices of universal algebras,” Journal of Algebra, vol. 7, pp. 263–270.
Grätzer. (1968). Universal Algebra. D. Van Nostrand Co., Inc., London
Higgins. (1963). “Algebras with a scheme of operators,” Mathematische Nachrichten, vol. 27, pp. 115–132.
McKenzie. (1987).G. F. McNulty, and W. F. Taylor, Algebras, Lattices, Varieties. Vol. I. Wadsworth & Brooks/Cole, Monterey, CA.
Whitehead, A. (1897.Treatise on Universal Algebra with Applications. Cambridge University Press, Cambridge.