Search Results - "Khrypchenko, Mykola"

Commutativity Preservers of Incidence Algebras by Fornaroli, Érica Z., Khrypchenko, Mykola, Santulo, Ednei A.

“…Let I ( X ,  K ) be the incidence algebra of a finite connected poset X over a field K and D ( X ,  K ) its subalgebra consisting of diagonal elements. We…”
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Regular Hom-Lie structures on incidence algebras by Fornaroli, Érica Z., Khrypchenko, Mykola, Santulo, Ednei A.

“…We fully characterize regular Hom-Lie structures on the incidence algebra I ( X ,  K ) of a finite connected poset X over a field K . We prove that such a…”
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Transposed Poisson structures on Witt type algebras by Kaygorodov, Ivan, Khrypchenko, Mykola

“…We describe 12-derivations, and hence transposed Poisson algebra structures, on Witt type Lie algebras V(f), where f:Γ→C is non-trivial and f(0)=0. More…”
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Transposed Poisson structures on Block Lie algebras and superalgebras by Kaygorodov, Ivan, Khrypchenko, Mykola

“…We describe transposed Poisson algebra structures on Block Lie algebras B(q) and Block Lie superalgebras S(q), where q is an arbitrary complex number…”
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Transposed Poisson structures on Lie incidence algebras by Kaygorodov, Ivan, Khrypchenko, Mykola

“…Let X be a finite connected poset, K a field of characteristic zero and I(X,K) the incidence algebra of X over K seen as a Lie algebra under the commutator…”
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Partial monoid actions on objects in categories with pullbacks and their globalizations by Khrypchenko, Mykola, Klock, Francisco

“…Let M be a monoid, C a category with pullbacks and X an object of C. We introduce the notion of a partial action α of M on X and study the globalization…”
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Transposed Poisson Structures on Generalized Witt Algebras and Block Lie Algebras by Kaygorodov, Ivan, Khrypchenko, Mykola

“…We describe transposed Poisson structures on generalized Witt algebras W ( A , V , ⟨ · , · ⟩ ) and Block Lie algebras L ( A ,  g ,  f ) over a field F of…”
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Poisson structures on finitary incidence algebras by Kaygorodov, Ivan, Khrypchenko, Mykola

“…We give a full description of the Poisson structures on the finitary incidence algebra FI(P,R) of an arbitrary poset P over a commutative unital ring R…”
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Identities and derived lengths of finitary incidence algebras and their group of units by Khrypchenko, Mykola, Siciliano, Salvatore

“…Let FI(X, K) be the finitary incidence algebra of a poset X over a field K. In this short note we establish when FI(X, K) satisfies a polynomial identity and…”
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Partial actions and an embedding theorem for inverse semigroups by Khrypchenko, Mykola

“…We give a simple construction involving partial actions which permits us to obtain an easy proof of a weakened version of L. O’Carroll’s theorem on idempotent…”
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Jordan derivations of finitary incidence rings by Khrypchenko, Mykola

“…Let P be a preordered set, R a ring and FI(P, R) the finitary incidence ring of P over R. We find a criterion for all the Jordan derivations of FI(P, R) to be…”
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The algebraic classification of nilpotent ℭ -algebras by Kaygorodov, Ivan, Khrypchenko, Mykola

“…We give an algebraic classification of complex 4-dimensional nilpotent -algebras…”
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Transposed Poisson structures on the Lie algebra of upper triangular matrices by Kaygorodov, Ivan, Khrypchenko, Mykola

“…We describe transposed Poisson structures on the upper triangular matrix Lie algebra T_{n}(F) , n>1 , over a field F of characteristic zero. We prove that, for…”
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Lie derivations of incidence algebras by Zhang, Xian, Khrypchenko, Mykola

“…Let X be a locally finite preordered set, R a commutative ring with identity and I(X,R) the incidence algebra of X over R. In this note we prove that each Lie…”
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The geometric classification of nilpotent algebras by Kaygorodov, Ivan, Khrypchenko, Mykola, Lopes, Samuel A.

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The algebraic and geometric classification of nilpotent terminal algebras by Kaygorodov, Ivan, Khrypchenko, Mykola, Popov, Yury

“…We give algebraic and geometric classifications of 4-dimensional complex nilpotent terminal algebras. Specifically, we find that, up to isomorphism, there are…”
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The geometric classification of nilpotent Tortkara algebras by Gorshkov, Ilya, Kaygorodov, Ivan, Khrypchenko, Mykola

“…We give a geometric classification of all 6-dimensional nilpotent Tortkara algebras over…”
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Bilinear maps on C⁎-algebras that have product property at a compact element by Garcés, Jorge J., Khrypchenko, Mykola

“…We study bounded bilinear maps on a C⁎-algebra A having product property at c∈A. This leads us to the question of when a C⁎-algebra is determined by products…”
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The algebraic classification of nilpotent Tortkara algebras by Gorshkov, Ilya, Kaygorodov, Ivan, Khrypchenko, Mykola

“…We classify all complex 6-dimensional nilpotent Tortkara algebras. Communicated by Alberto Facchini…”
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REFLECTORS AND GLOBALIZATIONS OF PARTIAL ACTIONS OF GROUPS by KHRYPCHENKO, MYKOLA, NOVIKOV, BORIS

“…Given a partial action $\unicode[STIX]{x1D703}$ of a group on a set with an algebraic structure, we construct a reflector of $\unicode[STIX]{x1D703}$ in the…”
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