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  • A letter to ADM Editorial board 
    Varbanets, P. D.; Savastru, O. V. (Луганский национальный университет им. Т. Шевченко, 2005)
  • On bounded m-reducibilities 
    Belyaev, Vladimir N. (Луганский национальный университет им. Т. Шевченко, 2005)
    Conditions for classes F1, F0 of non-decreasing total one-place arithmetic functions to define reducibility m [R1 R0 ] {(A,B)|A,B N & (9 r.f. h)(9f1 2 F1)(9f0 2 F0) [A h m B & f0 E h E f1]} where k E l means that ...
  • On posets of width two with positive Tits form 
    Bondarenko, Vitalij M.; Styopochkina, Marina V. (Луганский национальный университет им. Т. Шевченко, 2005)
    We give a complete description of the finite posets of width two with the Tits form to be positive. This problem arises in studying the categories of representations of posets of finite type.
  • Some properties of primitive matrices over Bezout B-domain 
    Shchedryk, V. P. (Луганский национальный университет им. Т. Шевченко, 2005)
    The properties of primitive matrices (matrices for which the greatest common divisor of the minors of maximal order is equal to 1) over Bezout B - domain, i.e. commutative domain finitely generated principal ideal in which ...
  • Steiner P-algebras 
    Chakrabarti, Sucheta (Луганский национальный университет им. Т. Шевченко, 2005)
    General algebraic systems are able to formalize problems of different branches of mathematics from the algebraic point of view by establishing the connectivity between them. It has lots of applications in theoretical ...
  • Extended G-vertex colored partition algebras as centralizer algebras of symmetric groups 
    Parvathi, M.; Kennedy, A. Joseph (Луганский национальный университет им. Т. Шевченко, 2005)
    The Partition algebras Pk(x) have been defined in [M1] and [Jo]. We introduce a new class of algebras for every group G called “Extended G-Vertex Colored Partition Algebras," denoted by b Pk(x,G), which contain partition ...
  • On strongly graded Gorestein orders 
    Theohari-Apostolidi, Th.; Vavatsoulas, H. (Луганский национальный университет им. Т. Шевченко, 2005)
    Let G be a finite group and let = g2G g be a strongly G-graded R-algebra, where R is a commutative ring with unity. We prove that if R is a Dedekind domain with quotient field K, is an R-order in a separable K-algebra ...
  • A note to our paper “Automorphisms of homogeneous symmetric groups and hierarchomorphisms of rooted trees” 
    Lavrenyuk, Yaroslav V.; Sushchansky, Vitaly I. (Луганский национальный университет им. Т. Шевченко, 2005)
    The results on automorphisms of homogeneous alternating groups are corrected and improved.
  • A note to my paper “Generalized equivalence of collections of matrices and common divisors of matrices” 
    Petrychkovych, Vasyl‘ M. (Луганский национальный университет им. Т. Шевченко, 2005)
    We correct some misprints and other oversights in the paper mentioned in the title.

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