Existence and uniqueness of $(L,\varphi)$-representations of algebras
Czechoslovak Mathematical Journal, Tome 46 (1996) no. 1, pp. 35-46
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DOI : 10.21136/CMJ.1996.127268
Classification : 08A05, 08A30
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Walendziak, Andrzej. Existence and uniqueness of $(L,\varphi)$-representations of algebras. Czechoslovak Mathematical Journal, Tome 46 (1996) no. 1, pp. 35-46. doi: 10.21136/CMJ.1996.127268

[1] P. Crawley and R. P. Dilworth: Algebraic Theory of Lattices, Prentice Hall, Englewood Cliffs. New Jersey, (1973).

[2] H. Draškovičová: Weak direct product decomposition of algebras, in: Contributions to General Algebra 5, Proc. of Salzburg Conf. 1986. Verlag Holder-Pichler-Tempsky, Wien (1987), 105–121. | MR

[3] G. Grätzer: General Lattice Theory. Akademie-Verlag, Berlin, 1978. | MR

[4] G. Grätzer: Universal Algebra. Springer-Verlag, New York, 1979. | MR

[5] J Hashimoto: Direct, subdirect decompositions and congruence relations. Osaka Math. J. 9 (1957), 87–112. | MR | Zbl

[6] T. K. Hu: Weak products of simple universal algebras. Math. Nachr. 42 (1969), 157–171. | DOI | MR | Zbl

[7] R. McKenzie, G. McNulty and W. Taylor: Algebras, Lattices, Varieties, Volume I, Wadsworth Brooks/Cole. Menterey-California, 1987. | MR

[8] A. Walendziak: Infinite $\theta $-decomposition in modular lattices, in: Universal and Applied Algebra, Proc. of Turawa Symposium 1988. Vorld Sci. Publishing, Teaneck, NJ, (1989), 321–333. | MR

[9] A. Walendziak: Infinite $\theta $-decompositions in upper continuous lattices. Comment. Math 29 (1990), 313–324. | MR | Zbl

[10] A. Walendziak: L-restricted $\varphi $–representations of algebras. Period. Math. Hung 23 (1991), 219–226. | DOI | MR

[11] A. Walendziak: Irredundant $\varphi $-representations of algebras—existence and some uniqueness. Algebra Universalis 30 (1993), 319–330. | DOI | MR | Zbl

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