Digital Repository of Luhansk Taras Shevchenko National University

# Browsing Algebra and Discrete Mathematics. - № 1 (25). - 2018 by Issue Date

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• (ДЗ "ЛНУ імені Тараса Шевченка", 2018)
We have introduced the concept of neighborhood- prime labeling and investigated it for paths, cycles, wheels and union of such graphs earlier. In this paper, we construct neighborhood- prime labelings for graphs that ...
• (ДЗ "ЛНУ імені Тараса Шевченка", 2018)
• (ДЗ "ЛНУ імені Тараса Шевченка", 2018)
For a monounary algebra A = (A, f) we study the lattice Quord A of all quasiorders of A, i.e., of all reflexive and transitive relations compatible with f. Monounary algebras (A, f) whose lattices of quasiorders are ...
• (ДЗ "ЛНУ імені Тараса Шевченка", 2018)
Let S = K[x1, x2, . . . , xn] be a standard graded K-algebra for any field K. Without using any heavy tools of com- mutative algebra we compute the Hilbert series of graded S-module S/I, where I is a monomial ideal.
• (2018)
A convolution is a mapping C of the set Z + of positive integers into the set P(Z +) of all subsets of Z + such that,for any n ∈ Z +, each member of C(n) is a divisor of n. If D(n) is the set of all divisors of n, for any ...
• (ДЗ "ЛНУ імені Тараса Шевченка", 2018)
For a given graph G = (V, E), a dominating set D ⊆ V (G) is said to be an outer connected dominating set if D = V (G) or G − D is connected. The outer connected domination number of a graph G, denoted by γec(G), is the ...
• (ДЗ "ЛНУ імені Тараса Шевченка", 2018)
In this paper, we introduce the concept of mod- ules with the properties (RE) and (SRE), and we provide various properties of these modules. In particular, we prove that a semisimple module M is Rad-supplementing if ...
• (2018)
A graph is s-regular if its automorphism group acts regularly on the set of s-arcs. In this paper, by applying concept linear algebra, we classify the connected cubic s-regular graphs of order 28p for each s > 1, and prime p.
• (ДЗ "ЛНУ імені Тараса Шевченка", 2018)
In the present work the relations between the closure operators of two module categories are investigated in the case when the given categories are connected by two covariant adjoint functors H : R-Mod −→ S-Mod and T : ...
• (ДЗ "ЛНУ імені Тараса Шевченка", 2018)
We give a lower bound on multiplicative ordersof certain elements in defined by Conway towers of finite fields ofcharacteristic 2 and also formulate a condition under that these elements are primitive.
• (2018)
We give a classification of representations of the Kleinian 4-group up to weak equivalence.