77 citations · 264 across the 36 of their papers we have counts for
43 papers
The lattice of varieties of semigroups with completely regular square. II
T. A. Ershova, M. V. Volkov
We solve (modulo groups) the word problem for free semigroup satisfying . This enables us to show that the variety given by this identity is not equal…
Laws for triangular matrices
Xun Hu, Yanfeng Luo, Mikhail Volkov
We investigate identities satisfied by monoids of triangular matrices over fields and over additively idempotent semirings with 0 and 1, and exhibit several new instances in which…
Semiring and involution identities of powers of inverse semigroups
Igor Dolinka, Sergey V. Gusev, Mikhail V. Volkov
The set of all subsets of any inverse semigroup forms an involution semiring under set-theoretical union and element-wise multiplication and inversion. We find structural condition…
Synchronization of primitive automata
Mikhail Volkov
We exhibit new conditions under which a primitive automaton is synchronizing. In particular, we show that the primitivity of an automaton forces its synchronizability whenever the…
Strongly nonfinitely based monoids
Sergey V. Gusev, Olga B. Sapir, Mikhail V. Volkov
We show that the 42-element monoid of all partial order preserving and extensive injections on the 4-element chain is not contained in any variety generated by a finitely based fin…
Catalan monoids inherently nonfinitely based relative to finite -trivial semigroups
Olga B. Sapir, Mikhail V. Volkov
We show that the 42-element monoid of all partial order preserving and extensive injections on the 4-element chain is not contained in any variety generated by a finitely based fin…