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Researches in Mathematics

Subjects: algebra; mathematics; approximation theory

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On invariant ideals in group rings of torsion-free minimax nilpotent groups

• Authors : A.V. Tushev

Subjects: nilpotent groups; minimax groups; group rings

• Source: Researches in Mathematics, Vol 31, Iss 2, Pp 55-60 (2023)

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On the domains of convergence of the branched continued fraction expansion of ratio $H_4(a,d+1;c,d;\mathbf{z})/H_4(a,d+2;c,d+1;\mathbf{z})$

• Authors : R.I. Dmytryshyn; I.-A.V. Lutsiv; O.S. Bodnar

Subjects: horn hypergeometric function; branched continued fraction; holomorphic function of several complex variables

• Source: Researches in Mathematics, Vol 31, Iss 2, Pp 19-25 (2023)

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A Countable Intersection Like Characterization of Star-Lindelöf Spaces

• Authors : P. Bal

Subjects: star-lindelöfness; family of closed sets; countable intersection property

• Source: Researches in Mathematics, Vol 31, Iss 2, Pp 3-7 (2023)

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Derivations of rings of infinite matrices

• Authors : O.O. Bezushchak

Subjects: ring of infinite matrices; derivation; Mathematics

• Source: Researches in Mathematics, Vol 31, Iss 2, Pp 14-18 (2023)

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Matroids related to groups and semigroups

• Authors : D.I. Bezushchak

Subjects: semigroup; matroid; Mathematics

• Source: Researches in Mathematics, Vol 31, Iss 2, Pp 8-13 (2023)

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A Note on Sequence of Functions associated with the Generalized Jacobi polynomial

• Authors : D. Waghela; S.B. Rao

Subjects: jacobi polynomial; generalized jacobi polynomial; generating relations

• Source: Researches in Mathematics, Vol 31, Iss 2, Pp 61-78 (2023)

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Norm attaining bilinear forms of ${\mathcal L}(^2 d_{*}(1, w)^2)$ at given vectors

• Authors : S.G. Kim

Subjects: norm attaining bilinear forms; the plane with an octagonal norm; Mathematics

• Source: Researches in Mathematics, Vol 31, Iss 2, Pp 35-47 (2023)

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On maximality of some solvable and locally nilpotent subalgebras of the Lie algebra $W_n(K)$

• Authors : D.I. Efimov; M.S. Sydorov; K.Ya. Sysak

Subjects: lie algebra; derivation; locally nilpotent

• Source: Researches in Mathematics, Vol 31, Iss 2, Pp 26-34 (2023)

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Free groups defined by finite $p$-automata

• Authors : A.P. Krenevych; A.S. Oliynyk

Subjects: finite automaton; p-automaton; free group

• Source: Researches in Mathematics, Vol 31, Iss 2, Pp 48-54 (2023)

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