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Перегляд Algebra and Discrete Mathematics, 2013, Vol. 16, № 2 за датою випуску

Репозиторій DSpace/Manakin

Перегляд Algebra and Discrete Mathematics, 2013, Vol. 16, № 2 за датою випуску

Сортувати за: Порядок: Результатів:

  • Free n-nilpotent dimonoids 
    Zhuchok, A.V. (Algebra and Discrete Mathematics, 2013)
    We construct a free n-nilpotent dimonoid and describe its structure. We also characterize the least n-nilpotent congruence on a free dimonoid, construct a new class of dimonoids with zero and give examples of nilpotent ...
  • Classifying cubic s-regular graphs of orders 22p and 22p² 
    Talebi, A.A.; Mehdipoor, N. (Algebra and Discrete Mathematics, 2013)
    A graph is s-regular if its automorphism group acts regularly on the set of s-arcs. In this study, we classify the connected cubic s-regular graphs of orders 22p and 22p² for each s ≥ 1, and each prime p.
  • Relative symmetric polynomials and money change problem 
    Shahryari, M. (Algebra and Discrete Mathematics, 2013)
    This article is devoted to the number of non-negative solutions of the linear Diophantine equation a₁t₁ + a₂t₂ + ⋯ + antn = d, where a₁,…,an, and d are positive integers. We obtain a relation between the number of solutions ...
  • Algorithms computing O(n, Z)-orbits of P-critical edge-bipartite graphs and P-critical unit forms using Maple and C# 
    Polak, A.; Simson, D. (Algebra and Discrete Mathematics, 2013)
    We present combinatorial algorithms constructing loop-free P-critical edge-bipartite (signed) graphs Δ′, with n ≥ 3 vertices, from pairs (Δ, w), with Δ a positive edge-bipartite graph having n-1 vertices and w a sincere ...
  • On derived π-length of a finite π-solvable group with supersolvable π-Hall subgroup 
    Monakhov, V.S.; Gritsuk, D.V. (Algebra and Discrete Mathematics, 2013)
    It is proved that if π-Hall subgroup is a supersolvable group then the derived π-length of a π-solvable group G is at most 1 + maxr∈π lαr(G), where lαr(G) is the derived r-length of a π-solvable group G.
  • Form of filters of semisimple modules and direct sums 
    Maturin, Yu. (Algebra and Discrete Mathematics, 2013)
    Some collections of submodules of a module defined by certain conditions are studied. A generalization of the notion of radical (preradical) filter is considered. We study the form of filters of semisimple modules and direct sums.
  • On some linear groups, having a big family of G-invariant subspaces 
    Kurdachenko, L.A.; Sadovnichenko, A.V. (Algebra and Discrete Mathematics, 2013)
    Let F be a field, A a vector space over F, GL(F, A) be the group of all automorphisms of the vector space A. If B is a subspace of A, then denote by BFG the G-invariant subspace, generated by B. A subspace B is called ...
  • Serial group rings of finite groups. p-solvability 
    Kukharev, A.; Puninski, G. (Algebra and Discrete Mathematics, 2013)
    We prove that for any finite p-solvable group G with a cyclic p-Sylow subgroup and any field F of characteristic p, the group ring FG is serial. As a corollary for an arbitrary field we will produce a list of all groups ...
  • Differential graded categories associated with the critical semi-definite quadratic forms 
    Gnatiuk, O.; Golovaschuk, N. (Algebra and Discrete Mathematics, 2013)
    This work concerns with classification problem of differential graded categories with critical semi-definite quadratic form. We prove that such problem which satisfies some correctness conditions can be transformed to ...
  • Reducibility and irreducibility of monomial matrices over commutative rings 
    Bondarenko, V.M.; Bortos, M.Yu.; Dinis, R.F.; Tylyshchak, A.A. (Algebra and Discrete Mathematics, 2013)
  • A maximal T-space of F₃[x]₀ 
    Bekh-Ochir, C.; Rankin, S.A. (Algebra and Discrete Mathematics, 2013)
    In earlier work, we have established that for any finite field k, the free associative k-algebra on one generator x, denoted by k[x]₀, has infinitely many maximal T-spaces, but exactly two maximal T-ideals (each of which ...
  • Petro Mykhailovych Gudivok 
    Babych, M.; Bondarenko, V.M.; Drozd, Yu.; Kirichenko, V.; Shapochka, I. (Algebra and Discrete Mathematics, 2013)
    We present a brief scientific biography of Professor Petro M. Gudivok.

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