On the structure of semilattice sums
Czechoslovak Mathematical Journal, Tome 41 (1991) no. 1, pp. 24-43
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DOI : 10.21136/CMJ.1991.102429
Classification : 06A12, 08A62, 08B05
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Romanowska, Anna B.; Smith, J. D. H. On the structure of semilattice sums. Czechoslovak Mathematical Journal, Tome 41 (1991) no. 1, pp. 24-43. doi: 10.21136/CMJ.1991.102429

[C] A. H. Clifford: Semigroups admitting relative inverses. Ann. Math. 42 (1941), 1037-1049. | DOI | MR | Zbl

[Co] P. M. Cohn: Universal Algebra. Reidel, Dordrecht, 1981. | MR | Zbl

[D] J. Dudek: Varieties of idempotent commutative groupoids. Fund. Math. 120 (1983), 193-204. | DOI | MR

[DG] J. Dudek E. Graczyńska: The lattice of varieties of algebras. Bull. Acad. Polon. Sci. Sér. Sci. Math. 29 (1981), 337-340. | MR

[GKW] E. Graczyńska D. Kelly P. Winkler: On the regular part of varieties of algebras. Algebra Universalis 23 (1986), 77-84. | DOI | MR

[JK1] J. Ježek T. Kepka: Ideal free CIM-groupoids and open convex sets. Springer Lecture Notes in Mathematics 1004, Universal Algebra and Lattice Theory, 1983, 166-175. | MR

[JK2] J. Ježek T. Kepka: Medial Groupoids. Rozpravy ČSAV, Řada mat. a přír. věd. 93/2 (1983), Academia, Praha. | MR

[JK3] J. Ježek T. Kepka: The lattice of varieties of commutative idempotent abelian distributive groupoids. Algebra Universalis 5 (1975), 225-237. | DOI | MR

[Ku] M. Kuczma: An introduction to the Theory of Functional Equations and Inequalities. P.W.N, Warszawa, 1985. | MR | Zbl

[L] G. Lallement: Demi-groupes réguliers. Ann. Math. Pura Appl. 77 (1967), 47-129. | DOI | MR | Zbl

[Mal] A. I. Маľсеv: Algebraic Systems. Springer-Verlag, Berlin 1973. | MR | Zbl

[Ma2] A. I. Маľсеv: Multiplication of classes of algebraic systems. (Russian), Sibirsk. Math. Zh. 8 (1967), 346-365. | MR

[Me] I. I. Меľnіk: Normal closures of perfect varieties of universal algebras. (Russian), Ordered sets and lattices, Izdat. Saratov. Univ., Saratov (1971), 56-65, MR 52 # 3011. | MR

[Mi] B. Melnik: Theory of filters. Commun. Math. Phys. 15 (1969), 1 - 46. | DOI | MR

[W] W. D. Neumann: On the quasivariety of convex subsets of affine spaces. Arch. Math. 21 (1970), 11-16. | DOI | MR

[Pe] M. Petrich: Lectures in Semigroups. Akademie-Verlag, Berlin, 1977. | MR | Zbl

[Pł1] J. Plonka: On a method of construction of abstract algebras. Fund. Math. 61 (1967), 183-189. | DOI | MR | Zbl

[Pł2] J. Plonka: On equational classes of abstract algebras defined by regular equations. Fund. Math. 64 (1969), 241-247. | DOI | MR | Zbl

[Po] F. Poyatos: Generalizacion de un teorema de J. A. Green a algebras universales. Rev. Math. Hisp.-Amer. (4)40 (1980), 193-205.

[R1] A. Romanowska: Constructing and reconstructing of algebras. Demonstratio Math. 18 (1985), 209-230. | MR | Zbl

[R2] A. Romanowska: On regular and regularised varieties. Algebra Universalis 23 (1986), 215-241. | DOI | MR

[RS1] A. Romanowska J. D. H. Smith: From affine to projective geometry via convexity. Springer Lecture Notes in Mathematics 1149, Universal Algebra and Lattice Theory, 1985, 255-269. | MR

[RS2] A. Romanowska J. D. H. Smith: Modal Theory-an Algebraic Approach to Order. Geometry and Convexity, Heldermann Verlag, Berlin, 1985. | MR

[RS3] A. Romanowska J. D. H. Smith: On the structure of barycentric algebras. Houston J. Math.,toappear. | MR

[S1] W. W. Saliĭ: Equationally normal varieties of semigroups. (Russian), Izv. Vyssh. Uchebn. Zaved. Mat. 84 (1969), 61-68, MR 41 # 8555. | MR

[S2] W. W. Saliĭ: A theorem on homomorphisms of strong semilattices of semigroups. (Russian), Theory of semigroups and its applications, V. V. Vagner (ed.), Izd. Saratov. Univ. 2 (1970), 69-74, MR 53 # 10959.

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