A THEOREM ON QA-HOMOMORPHISMS

Daniel Abraham Romano (Bosnia and Herzegovina)

Received December 4, 2008

References:

[1] E. Bishop, Foundation of Constructive Analysis, McGraw-Hill, NY, 1967. [2] D. Bogdanić, S. Crvenković and D. A. Romano, Another isomorphism theorem on anti-ordered semigroups, Inter. J. Contemp. Math. Sci. 4(5) (2009), 241-245. [3] D. Jojić and D. A. Romano, Quasi-antiorder relational systems, Inter. J. Contemp. Math. Sci. 3(27) (2008), 1307-1315. [4] R. Mines, F. Richman and W. Ruitenburg, A Course of Constructive Algebra, Springer-Verlag, New York, 1988. [5] D. A. Romano, Some relations and subsets of semigroup with apartness generated by the principal consistent subset, Univ. Beograd. Publ. Elektroteh. Fak. Ser. Mat. 13 (2002), 7-25. [6] D. A. Romano, A note on a family of quasi-antiorder on semigroup, Kragujevac J. Math. 27 (2005), 11-18. [7] D. A. Romano, A note on quasi-antiorder in semigroup, Novi Sad J. Math. 37(1) (2007), 3-8. [8] D. A. Romano, On regular anticongruence in anti-ordered semigroups, Publ. Inst. Math. (Beograd) (N.S.) 81(95) (2007), 95-102. [9] D. A. Romano, The second isomorphism theorem on ordered set under antiorders, Kragujevac J. Math. 30 (2007), 235-242. [10] D. A. Romano, Isomorphism theorems for QA-mappings, Inter. J. Contemp. Math. Sci. 3(14) (2008), 695-701. [11] D. A. Romano, An isomorphism theorem for anti-ordered sets, Filomat 22(1) (2008), 145-160. [12] D. A. Romano, On quasi-antiorder relation on semigroup (to appear). [13] A. S. Troelstra and D. van Dalen, Constructivism in Mathematics. An Introduction, Volume II, North-Holland, Amsterdam, 1988.

Keywords and phrases: constructive mathematics, semigroup with apartness, antiorder, quasi-antiorder, isotone and reverse isotone homomorphism.