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A New Approach to Hom-Left-Symmetric Bialgebras

期刊: CZECHOSLOVAK MATHEMATICAL JOURNAL, 2021; 71 (2)

The main purpose of this paper is to consider a new definition of Hom-left-symmetric bialgebra. The coboundary Hom-left-symmetric bialgebra is also st......

Uniform Regularity for an Isentropic Compressible MHD-P1 Approximate Model Arising in Radiation Hydrodynamics

期刊: CZECHOSLOVAK MATHEMATICAL JOURNAL, 2021; 71 (3)

It is well known that people can derive the radiation MHD model from an MHD-P1 approximate model. As pointed out by F. Xie and C. Klingenberg (2018), ......

Radial Minkowski Additive Operators

期刊: CZECHOSLOVAK MATHEMATICAL JOURNAL, 2021; 71 (3)

We give some characterizations for radial Minkowski additive operators and prove a new characterization of balls. Finally, we show the property of rad......

Remarks on the Bounds of Graph Energy in Terms of Vertex Cover Number or Matching Number

期刊: CZECHOSLOVAK MATHEMATICAL JOURNAL, 2021; 71 (2)

We give a novel upper bound on graph energy in terms of the vertex cover number, and present a complete characterization of the graphs whose energy eq......

Finite Groups with Some SS-Supplemented Subgroups

期刊: CZECHOSLOVAK MATHEMATICAL JOURNAL, 2021; 71 (3)

A subgroup H of a finite group G is said to be SS-supplemented in G if there exists a subgroup K of G such that G = HK and H boolean AND K is S-quasin......

Ramsey Numbers for Trees II

期刊: CZECHOSLOVAK MATHEMATICAL JOURNAL, 2021; 71 (2)

Let r(G(1), G(2)) be the Ramsey number of the two graphs G(1) and G(2). For n(1) >= n(2) >= 1 let S (n(1), n(2)) be the double star given by V (......

Localization and Colocalization in Tilting Torsion Theory for Coalgebras

期刊: CZECHOSLOVAK MATHEMATICAL JOURNAL, 2021; 71 (3)

Tilting theory plays an important role in the representation theory of coalgebras. This paper seeks how to apply the theory of localization and coloca......

Generalized Connectivity of Some Total Graphs

期刊: CZECHOSLOVAK MATHEMATICAL JOURNAL, 2021; 71 (3)

We study the generalized k-connectivity kappa(k)(G) as introduced by Hager in 1985, as well as the more recently introduced generalized k-edge-connect......

Weak Dimensions and Gorenstein Weak Dimensions of Group Rings

期刊: CZECHOSLOVAK MATHEMATICAL JOURNAL, 2021; 71 (3)

Let K be a field, and let G be a group. In the present paper, we investigate when the group ring K[G] has finite weak dimension and finite Gorenstein ......

On the Diophantine Equation (2(x)-1)(p(y)-1)=2z(2)

期刊: CZECHOSLOVAK MATHEMATICAL JOURNAL, 2021; 71 (3)

Let p be an odd prime. By using the elementary methods we prove that: (1) if 2 does not divide x, p = +/- 3 (mod 8), the Diophantine equation (2(x) - ......

Cohomology and Deformations of 3-Dimensional Heisenberg Hom-Lie Superalgebras

期刊: CZECHOSLOVAK MATHEMATICAL JOURNAL, ; ()

We study Hom-Lie superalgebras of Heisenberg type. For 3-dimensional Heisenberg Hom-Lie superalgebras we describe their Hom-Lie super structures, comp......

GORENSTEIN DIMENSION OF ABELIAN CATEGORIES ARISING FROM CLUSTER TILTING SUBCATEGORIES

期刊: CZECHOSLOVAK MATHEMATICAL JOURNAL, ; ()

Let C be a triangulated category and X be a cluster tilting subcategory of C. Koenig and Zhu showed that the quotient category C/X is Gorenstein of Go......

5-Dissections and Sign Patterns of Ramanujan's Parameter and Its Companion

期刊: CZECHOSLOVAK MATHEMATICAL JOURNAL, ; ()

In 1998, Michael Hirschhorn discovered the 5-dissection formulas of the Rogers-Ramanujan continued fraction R(q) and its reciprocal. We obtain the 5-d......

Finite Groups with Two Rows Which Differ in Only One Entry in Character Tables

期刊: CZECHOSLOVAK MATHEMATICAL JOURNAL, ; ()

Let G be a finite group. If G has two rows which differ in only one entry in the character table, we call G an RD1-group. We investigate the character......

P-Injective Group Rings

期刊: CZECHOSLOVAK MATHEMATICAL JOURNAL, 2020; 70 (4)

A ring R is called right P-injective if every homomorphism from a principal right ideal of R to R-R can be extended to a homomorphism from R-R to R-R.......

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