Digital Repository of Luhansk Taras Shevchenko National University

# Browsing Algebra and Discrete Mathematics. - № 1 (28). - 2019 by Title

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• (ДЗ "ЛНУ імені Тараса Шевченка", 2019)
Let R and R′ be alternative rings. In this article we investigate the additivity of surjective elementary maps of R × R′ . As a main theorem, we prove that if R contains a non-trivial idempotent satisfying some conditions, ...
• (ДЗ "ЛНУ імені Тараса Шевченка", 2019)
In this paper we prove that the group (Zp) 2 × Zq ×Zr is CI-group, where p, q, r are primes such that q and r divide p − 1, and r divides q − 1.
• (ДЗ "ЛНУ імені Тараса Шевченка", 2019)
We accomplish the classification of Cohen–Macaulay modules over the curve singularities of type T44 and the description of the corresponding matrix factorizations, started in.
• (ДЗ "ЛНУ імені Тараса Шевченка", 2019)
In this paper, exact sequences of graphs are defined and investigated. Considering some functors on the category of graphs, we study some conditions to determine exactness of functors.
• (ДЗ "ЛНУ імені Тараса Шевченка", 2019)
Semiabelinan flocks and n-ary groups are charac- terized by the properties of parallelograms and vectors of the affine geometry defined by these flocks and n-ary groups.
• (ДЗ "ЛНУ імені Тараса Шевченка", 2019)
• (ДЗ "ЛНУ імені Тараса Шевченка", 2019)
Magic rectangles are a classical generalization of the well-known magic squares, and they are related to graphs. A graph G is called degree-magic if there exists a labelling of the edges by integers 1, 2, . . . , |E(G)| ...
• (ДЗ "ЛНУ імені Тараса Шевченка", 2019)
In [10], the notion of the splitting graph of a graph was introduced. In this paper we compute the zero forcing number of the splitting graph of a graph and also obtain some bounds besides finding the exact value of ...
• (ДЗ "ЛНУ імені Тараса Шевченка", 2019)
In this paper, we initiate the study of Paley-type graphs ΓN modulo N = pq, where p, q are distinct primes of the form 4k + 1. It is shown that ΓN is an edge-regular, symmetric, Eulerian and Hamiltonian graph. Also, the ...
• (ДЗ "ЛНУ імені Тараса Шевченка", 2019)
We introduce the notion of q′-compactness for MV-algebras. One of the main results of the paper is a characterization of a class of orthomodular lattices that are horizontal sums of strongly algebraically closed algebras.
• (ДЗ "ЛНУ імені Тараса Шевченка", 2019)
Functional dependencies (FDs) play an important role the relational database theory. The equivalence of the family of FDs is one of the hottest topics that get a lot of attention and interest currently. There are ...