Retracts of Algebras

• Autorzy: Novotny M.
• Języki publikacji: EN

Abstrakty

EN

Construction of retracts of a general algebra is described by using retracts of mono-unary algebras. Inspirational influence of the theory of Pawlak machines is mentioned.

Słowa kluczowe

EN

algebra; homomorphism; endomorphism; retraction endomorphism; retract; prepared algebra; mono-unary algebra

• Wydawca: IOS Press
• Czasopismo: Fundamenta Informaticae
• Rocznik: 2007
• Tom: Vol. 75, nr 1-4
• Strony: 375--384
• Opis fizyczny: bibliogr. 16 poz.

Twórcy

autor

Novotny M.

• Faculty of Informatics, Masaryk University, Botanicka 68a, 60200 Brno, Czech Republic,

Bibliografia

• [1] Bartol, W.: Programy dynamiczne obliczeń (Dynamic programs of computations). Państwowe wydawnictwo naukowe, Warszawa, 1974.
• [2] Jakubíková-Studenovská, D.: Retract irreducibility of connected monounary algebras I, II. Czechoslovak Math. J. 46 (121), 1996, 291-308, 47 (122), 1997, 113-126.
• [3] Jakubíková-Studenovská, D.: Representation of connected monounary algebras by means of irreducibles. Czechoslovak Math. J. 55 (130), 2005, 1067-1078.
• [4] Jakubíková-Studenovská, D.: Test elements and the retract theorem for monounary algebras. Presented to Czechoslovak Math. J.
• [5] Kopeček, O.: Construction of all machine homomorphisms. Bull. Acad. Polonaise Sci. Math. 24, 1976, 462-473.
• [6] Kopeček, O.: Homomorphisms of machines I, II. Archivum Math. Brno 14, 1978, 45-50, 99-108.
• [7] Novotný, J.: The category of Pawlak machines. Czechoslovak Math. J. 32 (107), 1982, 640-647.
• [8] Novotný, J.: Dalˇsí vlastnosti kategorie Pawlakových stroj°u. (Further properties of the category of Pawlak machines). Kniˇznice odborných a vědeckých spis°u Vysokého učení technického v Brně, Svazek B-125, 1990, 41-54.
• [9] Novotný, M.: O jednom problému z teorie zobrazení (Sur un probl`eme de la théorie des applications). Publ. Fac. Sci. Univ. Masaryk, No 344, 1953, 53-64.
• [10] Novotný, M.: über Abbildungen von Mengen. Pac. J. Math. 13, 1963, 1359-1369.
• [11] Novotný, M.: On some problems concerning Pawlak's machines. Lecture Notes in Computer Science 32, Math. Foundations of Computer Science 1975, 4th Symposium, Mariánské Lázně, Sept. 1-5, 1975, Ed. J. Bečvář, 1975, 88-100.
• [12] Novotný, M.: On mappings of machines. Lecture Notes in Computer Science 45, Mathematical Foundations of Computer Science, 5th Symposium, Gdańsk, Sept. 6-10, 1976, Ed. A. Mazurkiewicz, 1976, 105-114.
• [13] Novotný, M.: Mono-unary algebras in the work of Czechoslovak mathematicians. Archivum Math. Brno 26, 1990, 155-164.
• [14] Novotný, M.: Homomorphisms of algebras. Czechoslovak Math. J. 52 (127) 2002, 345-364.
• [15] Novotný, M.: On some constructions of algebraic objects. Czechoslovak Math. J. 55 (131) 2006, 382-402.
• [16] Pawlak, Z.: Maszyny programowane (Programmed machines). Algorytmy 10, 1969, 7-22.