Search Results - "Gusev, Sergey V."

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  1. 1

    Classification of limit varieties of -trivial monoids by Gusev, Sergey V., Sapir, Olga B.

    Published in Communications in algebra (03-07-2022)
    “…A variety of algebras is a limit variety if it is non-finitely based but all its proper subvarieties are finitely based. We present a new pair of limit…”
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  2. 2

    Two weaker variants of congruence permutability for monoid varieties by Gusev, Sergey V., Vernikov, Boris M.

    Published in Semigroup forum (01-08-2021)
    “…We completely determine all varieties of monoids on whose free objects all fully invariant congruences or all fully invariant congruences contained in the…”
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  3. 3

    SEMIRING AND INVOLUTION IDENTITIES OF POWER GROUPS by GUSEV, SERGEY V., VOLKOV, MIKHAIL V.

    “…For every group G, the set $\mathcal {P}(G)$ of its subsets forms a semiring under set-theoretical union $\cup $ and element-wise multiplication $\cdot $ , and…”
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  4. 4

    Varieties of aperiodic monoids with central idempotents whose subvariety lattice is distributive by Gusev, Sergey V.

    Published in Monatshefte für Mathematik (01-05-2023)
    “…We completely classify all varieties of aperiodic monoids with central idempotents whose subvariety lattice is distributive…”
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  5. 5

    Semiring and involution identities of powers of inverse semigroups by Dolinka, Igor, Gusev, Sergey V., Volkov, Mikhail V.

    Published in Communications in algebra (03-05-2024)
    “…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…”
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  6. 6

    Semiring identities of finite inverse semigroups by Gusev, Sergey V., Volkov, Mikhail V.

    Published in Semigroup forum (01-04-2023)
    “…We study the Finite Basis Problem for finite additively idempotent semirings whose multiplicative reducts are inverse semigroups. In particular, we show that…”
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  7. 7

    Special elements of the lattice of monoid varieties by Gusev, Sergey V.

    Published in Algebra universalis (01-06-2018)
    “…We completely classify all neutral and costandard elements in the lattice MON of all monoid varieties. Further, we prove that an arbitrary upper-modular…”
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  8. 8

    The lattice of varieties of monoids by Gusev, Sergey V., Lee, Edmond W. H., Vernikov, Boris M.

    Published in Japanese journal of mathematics (01-11-2022)
    “…We survey results devoted to the lattice of varieties of monoids. Along with known results, some unpublished results are given with proofs. A number of open…”
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  9. 9
  10. 10

    The Lattice of Varieties of Implication Semigroups by Gusev, Sergey V., Sankappanavar, Hanamantagouda P., Vernikov, Boris M.

    Published in Order (Dordrecht) (01-07-2020)
    “…An implication semigroup is an algebra of type (2, 0) with a binary operation → and a 0-ary operation 0 satisfying the identities ( x → y ) → z ≈ x → ( y → z )…”
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  11. 11

    Algorithms for finding gaits of locomotive mechanisms: case studies for Gorilla robot brachiation by Pchelkin, Stepan S., Shiriaev, Anton S., Mettin, Uwe, Freidovich, Leonid B., Paramonov, Leonid V., Gusev, Sergey V.

    Published in Autonomous robots (01-06-2016)
    “…We consider a model of a 24-degree-of-freedom monkey robot that is supposed to perform a brachiation locomotion, i.e. to swing from one row of a horizontal…”
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  12. 12

    Varieties of monoids with complex lattices of subvarieties by Gusev, Sergey V., Lee, Edmond W. H.

    “…A variety is finitely universal if its lattice of subvarieties contains an isomorphic copy of every finite lattice. Examples of finitely universal varieties of…”
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  13. 13

    Strongly nonfinitely based monoids by Gusev, Sergey V., Sapir, Olga B., Volkov, Mikhail V.

    Published in Journal of combinatorial algebra (27-08-2024)
    “…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…”
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  14. 14
  15. 15

    Varieties of monoids with a distributive subvariety lattice by Gusev, Sergey V

    Published 27-02-2024
    “…A monoid is aperiodic if all its subgroups are trivial. We completely classify all varieties of aperiodic monoids whose subvariety lattice is distributive…”
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  16. 16

    Varieties of aperiodic monoids with commuting idempotents whose subvariety lattice is distributive by Gusev, Sergey V

    Published 22-08-2023
    “…We completely classify all varieties of aperiodic monoids with commuting idempotents whose subvariety lattice is distributive…”
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  17. 17

    Minimal monoids generating varieties with complex subvariety lattices by Gusev, Sergey V

    Published 14-02-2023
    “…Proceedings of the Edinburgh Mathematical Society 67 (2024) 617-642 A variety is finitely universal if its lattice of subvarieties contains an isomorphic copy…”
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  18. 18

    Stable Walking Gaits for a Three-Link Planar Biped Robot With One Actuator by La Hera, P. X. L. M., Shiriaev, A. S., Freidovich, L. B., Mettin, U., Gusev, S. V.

    Published in IEEE transactions on robotics (01-06-2013)
    “…We consider a benchmark example of a three-link planar biped walker with torso, which is actuated in between the legs. The torso is thought to be kept upright…”
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  19. 19

    Sea mammal hunters of Chukotka, Bering Strait: Recent archaeological results and problems by Gusev, Sergey V., Zagoroulko, Andrey V., Porotov, Aleksey V.

    Published in World archaeology (01-02-1999)
    “…This paper discusses the results of investigations by the Bering Archeological Expedition (BAE) on the coast of the Chukotka peninsula in 1990-5. We examine…”
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  20. 20

    The monoid of injective and extensive partial transformations of a chain with three elements is nonfinitely based by Gusev, Sergey V

    Published 30-11-2022
    “…We show that the monoid of all injective and extensive partial transformations of a chain with three elements admits no finite basis of its identities. This…”
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