Algebra and Discrete Mathematics. - № 1 (28). - 2019
http://hdl.handle.net/123456789/4350
Sat, 25 May 2024 01:33:24 GMT2024-05-25T01:33:24ZPaley-type graphs of order a product of two distinct primes
http://hdl.handle.net/123456789/4373
Paley-type graphs of order a product of two distinct primes
Das, A .
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 vertex connectivity, edge connectivity, diameter and girth of ΓN are studied and their relationship with the forms of p and q are discussed. Moreover, we specify the forms of primes for which ΓN is triangulated or triangle-free and provide some bounds (exact values in some particular cases) for the order of the automorphism group Aut(ΓN ) of the graph ΓN , the chromatic number, the independence number, and the domination number of ΓN .
Das A. Paley-type graphs of order a product of two distinct primes / A.Das // Algebra and Discrete Mathematics. - 2019. - Vol. 28. - Number 1. - Рp. 44-59
Tue, 01 Jan 2019 00:00:00 GMThttp://hdl.handle.net/123456789/43732019-01-01T00:00:00ZCohen–Macaulay modules over the plane curve singularity of type T44, II
http://hdl.handle.net/123456789/4372
Cohen–Macaulay modules over the plane curve singularity of type T44, II
Drozd, Y. A.; Tovpyha, O. V.
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.
Drozd Y. A. Cohen–Macaulay modules over the plane curve singularity of type T44, II / Y. A. Drozd, O. V. Tovpyha // Algebra and Discrete Mathematics. - 2019. - Vol. 28. - Number 1. - Рp. 75-93
Tue, 01 Jan 2019 00:00:00 GMThttp://hdl.handle.net/123456789/43722019-01-01T00:00:00ZRepresentations of strongly algebraically closed algebras A. Molkhasi and K. P. Shum
http://hdl.handle.net/123456789/4371
Representations of strongly algebraically closed algebras A. Molkhasi and K. P. Shum
Simson, D.
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.
Simson D. Representations of strongly algebraically closed algebras A. Molkhasi and K. P. Shum / D. Simson // Algebra and Discrete Mathematics. - 2019. - Vol. 28. - Number 1. - Рp. 130-143
Tue, 01 Jan 2019 00:00:00 GMThttp://hdl.handle.net/123456789/43712019-01-01T00:00:00ZCI-property for the group (Zp) 2 × Zq × Zr Eskander Ali and Ahed Hassoon
http://hdl.handle.net/123456789/4370
CI-property for the group (Zp) 2 × Zq × Zr Eskander Ali and Ahed Hassoon
Subbotin, I. Y.
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.
Subbotin I. Y. CI-property for the group (Zp) 2 × Zq × Zr Eskander Ali and Ahed Hassoon / I. Ya. Subbotin // Algebra and Discrete Mathematics. - 2019. - Vol. 28. - Number 1. - Рp. 20-28
Tue, 01 Jan 2019 00:00:00 GMThttp://hdl.handle.net/123456789/43702019-01-01T00:00:00Z