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Rings related to finite posets

100%

Dokuchaev M. , Gubareni N.

2010

tom Vol. 9, nr 2

25-36

In this article we consider special classes of rings related to finite partially ordered sets over division rings and prime hereditary Noetherian rings. The structure and main properties of these rings are studied. These rings are closely connected with right hereditary SPSD-rings.

Some conditions under which nearrings are rings

100%

Khan A.

2000

tom Vol. 33, nr 2

255-260

Some Remarks on Rings

80%

Obojska L. , O’Hara P.

2010

tom Vol. 50, [Z] 1

35-39

Algebraic structures such as Rings, Fields, Boolean Algebras (Set Theory) and σ-Fields are well known and much has been written about them. In this paper we explore some properties of rings related to the distribution law. Specifically, we shall show that for rings there exists only one distribution law. Moreover, for the ring (Zp(p-1)n+, ź), where (p, n) = 1 there exist isomorphic groups (G, +), (H, ź), G,H⊆ Zp(p-1)n of the order (p - 1). Finally, we note that every ring (Zpn,+, ź) contains subfields mod(pn).

A variation of zero-divisor graphs

80%

Gupta R. , Sen M. , Ghosh S.

Discussiones Mathematicae - General Algebra and Applications

2015

tom 35

nr 2

159-176

In this paper, we define a new graph for a ring with unity by extending the definition of the usual 'zero-divisor graph'. For a ring R with unity, Γ₁(R) is defined to be the simple undirected graph having all non-zero elements of R as its vertices and two distinct vertices x,y are adjacent if and only if either xy=0 or yx=0 or x+y is a unit. We consider the conditions of connectedness and show that for a finite commutative ring R with unity, Γ₁(R) is connected if and only if R is not isomorphic to ℤ₃ or $ℤ₂^k$ (for any k ∈ ℕ-{1}\). Then we characterize the rings R for which Γ₁(R) realizes some well-known classes of graphs, viz., complete graphs, star graphs, paths (i.e., $P_n$), or cycles (i.e., $C_n$). We then look at different graph-theoretical properties of the graph Γ₁(F), where F is a finite field. We also find all possible Γ₁(R) graphs with at most 6 vertices.

Body overloading in the giant circle on rings

70%

Serafin R.

1999

tom Vol. 1, nr 2

25-29

The results of kinematics measurements of the performance of a forward giant on rings along with the recorded stretching force are presented. The external energy and power during exercise were computed. The results indicate the significance of elastic properties of the athletes' body during extremal overloading, giving insight into the changes of potential, kinetic and elastic energies which are fundamental for the proper performance.

Alternatywna metoda regeneracji pierścieni Białeckiego stanowiących wypełnienie aeratorów rurowych

51%

Morawski D.

2012

tom Nr 5

233-237

Zjawisko kolmatacji pierścieni zachodzące w czasie pracy aeratora z wypełnieniem pierścieniowym. Metody regeneracji pierścieni z aeratorów. Sprawdzenie skuteczności działania środka do chemicznej regeneracji pierścieni - dokumentacja fotograficzna procesu. Porównanie efektów z dwóch etapów regeneracji.

Rings colmatage phenomenon occurring during working to fill the annular aerator. Methods for regeneration of the rings of aerators. Check the efficiency of the plant for chemical regeneration of the rings--photographic documentation of the process. Comparison of the effects of two stages of regeneration.