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basic algebra; commutative basic algebra; symmetric basic algebra; state; homomorphism

References:

[1] Botur, M., Halaš, R., Kühr, J.: **States on commutative basic algebras**. Fuzzy Sets Syst. 187 (2012), 77-91. DOI 10.1016/j.fss.2011.07.010 | MR 2851997 | Zbl 1266.03070

[2] Chajda, I.: **Basic algebras and their applications. An overview**. Proc. 81st Workshop on General Algebra (J. Czermak et al., eds.) Salzburg, Austria, 2011, Johannes Heyn, Klagenfurt (2012), 1-10. MR 2908429 | Zbl 1280.06004

[3] Chajda, I., Halaš, R.: **On varieties of basic algebras**. Soft Comput. 19 (2015), 261-267. DOI 10.1007/s00500-014-1365-y | Zbl 06654984

[4] Kalmbach, G.: **Orthomodular Lattices**. London Mathematical Society Monographs 18. Academic Press, London (1983). MR 0716496 | Zbl 0512.06011