Search Results - "Kozhukhov, I. B."

Congruence-Simple Acts Over Completely Simple Semigroups by Kozhukhov, I. B., Kolesnikova, K. A.

“…We prove that an act X over a completely simple semigroup S = M G , I , Λ , P is congruence-simple (i.e., it has no nontrivial congruences) if and only if one…”
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On Hopfianity and Co-Hopfianity of Acts Over Groups by Kozhukhov, I. B., Kolesnikova, K. A.

“…A universal algebra is called Hopfian if any of its surjective endomorphisms is an automorphism, and co-Hopfian if injective endomorphisms are automorphisms…”
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Acts Over Semigroups by Kozhukhov, I. B., Mikhalev, A. V.

“…We present a review of results obtained mainly in the last two decades in a number of areas of the theory of acts over semigroups. The authors limited…”
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Abelian Groups with Finitely Approximated Acts by Kozhukhov, I. B., Tsarev, A. V.

“…The Abelian groups of each of the following classes are completely described: (∗) class of Abelian groups such that all the acts over them are finitely…”
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Conditions for Acts over Semilattices to be Cantor by Kozhukhov, I. B., Sotov, A. S.

“…An algebra is said to be Cantor if a theorem similar to the Cantor– Bernstein– Schröder theorem holds for it; namely, if, for any algebra , the existence of…”
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Projective and Injective Acts Over Completely Simple Semigroups by Kozhukhov, I. B., Petrikov, A. O.

“…We describe projective and injective acts over completely simple semigroups. Projective covers and injective hulls of acts over such semigroups are constructed…”
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Definability of Relations by Semigroups of Isotone Transformations by Klyushin, A. A., Kozhukhov, I. B., Manilov, D. Yu, Reshetnikov, A. V.

“…In 1961, L.M. Gluskin proved that a given set with an arbitrary nontrivial quasiorder is determined up to isomorphism or anti-isomorphism by the semigroup of…”
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Definability of Relations by Semigroupsof Isotone Transformations by Klyushin, A A, Kozhukhov, I B, Yu, Manilov D, Reshetnikov, A V

“…In 1961, L.M. Gluskin proved that a given set with an arbitrary nontrivial quasiorder is determined up to isomorphism or anti-isomorphism by the semigroup of…”
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Diagonal bi-acts over semigroups with finiteness conditions by Kozhukhov, I. B., Olshanskii, A. Yu

“…We present necessary conditions for the diagonal bi-act S ( S × S ) S over an epigroup S to be finitely generated. They imply that this bi-act is not finitely…”
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Diagonal ranks of semigroups by Apraksina, T. V., Barkov, I. V., Kozhukhov, I. B.

“…We introduce the diagonal rank of order n of a semigroup, a numerical characteristic of the semigroup. For some classes of semigroups we investigate whether…”
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One characteristical property of semilattices by Kozhukhov, I.B.

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Artinian Groupoid Rings by Kozhukhov, I.B.

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A Note on the Weak Regularity of Semigroup Rings by Kozhukhov, I.B.

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Two Examples of Diagonal Bi-Acts by Apraksina, T. V., Barkov, I. V., Kozhukhov, I. B.

“…An example of a right cancellative semigroup is constructed such that the diagonal bi-act of this semigroup is cyclic. Moreover, it is proved that every…”
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Algebras whose equivalence relations are congruences by Kozhukhov, I. B., Reshetnikov, A. V.

“…It is proved that all the equivalence relations of a universal algebra A are its congruences if and only if either |A| ≤  2 or every operation f of the…”
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Weakly Regular Semigroups of Isotone Transformations by Kim, V. I., Kozhukhov, I. B., Yaroshevich, V. A.

“…Let X be a partially ordered set and O ( X ) be the semigroup of all mappings X → X that preserve the order, i.e., x ≤ y ⟹ xα ≤ yα for all x, y ∈ X . It is…”
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On the compact semigroup rings by Klyushin, A.V., Kozhukhov, I.B.

“…The structure of the semigroup S is investigated when the semigroup ring RS admits a compact topology. It is proved that, in case of the semisimple semigroup S…”
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Regularity conditions for semigroups of isotone transformations of countable chains by Kim, V. I., Kozhukhov, I. B.

“…Let Γ be a linearly ordered set (a chain), O (Γ) be the semigroup of all isotone transformations of Γ (i.e., order-preserving transformations). We find some…”
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Linearly Compact Semigroup Rings by Klyushin, A.V., Kozhukhov, I.B.

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Transformation semigroups preserving a binary relation by Kozhukhov, I. B., Yaroshevich, V. A.

“…We investigate the semigroups of full and partial transformations of a set X which preserve a binary relation σ defined on X . We consider in detail the case…”
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