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math.GR2025
Embedding lattices of quasivarieties of periodic groups into lattices of additively idempotent semiring varieties: An algebraic proof
Miaomiao Ren, Xianzhong Zhao, Mikhail V. Volkov
A general result by Jackson (Flat algebras and the translation of universal Horn logic to equational logic, J. Symb. Log. 73(1) (2008) 90--128) implies that the lattice of all quas…
math.GR2024
Identities of triangular Boolean matrices
Mikhail V. Volkov
We give a combinatorial characterization of the identities holding in the semiring of all upper triangular Boolean -matrices and apply the characterization to computatio…