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2-normal identities; lattices; 2-normalized lattice; 3-level inflation of a lattice

References:

[1] Wismath, I. Chajda,S. L.: **Externalization of lattices**. Demonstr. Math (to appear). Zbl 1114.08001

[2] Christie, A., Wang, Q., Wismath, S. L.: **Minimal characteristic algebras for $k$-normality**. Sci. Math. Jpn. 61 (2005), 547-565. MR 2140115 | Zbl 1080.08001

[3] Chromik, W.: **Externally compatible identities of algebras**. Demonstr. Math. 23 (1990), 345-355. MR 1101497 | Zbl 0734.08005

[4] Clarke, G. T.: **Semigroup varieties of inflations of unions of groups**. Semigroup Forum 23 (1981), 311-319. DOI 10.1007/BF02676655 | MR 0638575 | Zbl 0486.20033

[5] Denecke, K., Wismath, S. L.: **A characterization of $k$-normal varieties**. Algebra Univers. 51 (2004), 395-409. DOI 10.1007/s00012-004-1864-2 | MR 2082134 | Zbl 1080.08002

[6] Denecke, K., Wismath, S. L.: **Valuations of terms**. Algebra Univers. 50 (2003), 107-128. DOI 10.1007/s00012-003-1824-2 | MR 2026831 | Zbl 1092.08003

[7] Graczyńska, E.: **On normal and regular identities**. Algebra Univers. 27 (1990), 387-397. DOI 10.1007/BF01190718 | MR 1058483

[8] Graczyńska, E.: **Identities and Constructions of Algebras**. Opole (2006).

[9] Płonka, J.: **P-compatible identities and their applications in classical algebras**. Math. Slovaca 40 (1990), 21-30. MR 1094969