Geodesic
The Up-Isomorphism Theorems for Up-Algebras
Discussiones Mathematicae. General Algebra and Applications, Tome 39 (2019) no. 1, pp. 113-123.

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In this paper, we construct the fundamental theorem of UP-homomorphisms in UP-algebras. We also give an application of the theorem to the first, second, third and fourth UP-isomorphism theorems in UP-algebras.
Keywords: UP-algebra, fundamental theorem of UP-homomorphisms, first, second, third and fourth UP-isomorphism theorems 
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Iampan, Aiyared. The Up-Isomorphism Theorems for Up-Algebras. Discussiones Mathematicae. General Algebra and Applications, Tome 39 (2019) no. 1, pp. 113-123. http://geodesic.mathdoc.fr/item/DMGAA_2019_39_1_a8/

[1] S. Asawasamrit, KK-isomorphism and its properties, Int. J. Pure Appl. Math. 78 (2012) 65–73.

[2] J. Hao and C.X. Li, On ideals of an ideal in a BCI-algebra, Sci. Math. Jpn. (in Editione Electronica) 10 (2004) 493–500.

[3] Q.P. Hu and X. Li, On BCH-algebras, Math. Semin. Notes, Kobe Univ. 11 (1983) 313–320.

[4] A. Iampan, A new branch of the logical algebra: UP-algebras, J. Algebra Relat. Top. 5 (2017) 35–54. doi:10.22124/JART.2017.2403

[5] A. Iampan, Introducing fully UP-semigroups, Discuss. Math., Gen. Algebra Appl. 38 (2018) 297–306. doi:10.7151/dmgaa.1290

[6] Y. Imai and K. Iséki, On axiom system of propositional calculi, XIV, Proc. Japan Acad. 42 (1966) 19–22. doi:10.3792/pja/1195522169

[7] K. Iséki, An algebra related with a propositional calculus, Proc. Japan Acad. 42 (1966) 26–29. doi:10.3792/pja/1195522171

[8] Y.B. Jun, S.M. Hong, X.L. Xin and E.H. Roh, Chinese remainder theorems in BCI-algebras, Soochow J. Math. 24 (1998) 219–230.

[9] S. Keawrahun and U. Leerawat, On isomorphisms of SU-algebras, Sci. Magna 7 (2011) 39–44.

[10] C.B. Kim and H.S. Kim, On BG-algebras, Demonstr. Math. 41 (2008) 497–505. doi:10.1515/dema-2013-0098

[11] K.H. Kim, On structure of KS-semigroup, Int. Math. Forum 1 (2006) 67–76.

[12] J.S. Paradero-Vilela and M. Cawi, On KS-semigroup homomorphism, Int. Math. Forum 4 (2009) 1129–1138.

[13] J.K. Park, W.H. Shim and E.H. Roh, On isomorphism theorems in IS-algebras, Soochow J. Math. 27 (2001) 153–160.

[14] C. Prabpayak and U. Leerawat, On ideals and congruences in KU-algebras, Sci. Magna 5 (2009) 54–57.

[15] A. Satirad, P. Mosrijai and A. Iampan, Generalized power UP-algebras, Int. J. Math. Comput. Sci. 14 (2019) 17–25.