Wyniki wyszukiwania

Wyszukiwano:
w słowach kluczowych: Klein 4-rings

Sortuj według:

Ogranicz wyniki do:

A class of zero divisor rings in which every graph is precisely the union of a complete graph and a complete bipartite graph

100%

Nauman S. K., Shafee B. H.

Open Mathematics

2015

tom 13

nr 1

Recently, an interest is developed in estimating genus of the zero-divisor graph of a ring. In this note we investigate genera of graphs of a class of zero-divisor rings (a ring in which every element is a zero divisor). We call a ring R to be right absorbing if for a; b in R, ab is not 0, then ab D a. We first show that right absorbing rings are generalized right Klein 4-rings of characteristic two and that these are non-commutative zero-divisor local rings. The zero-divisor graph of such a ring is proved to be precisely the union of a complete graph and a complete bipartite graph. Finally, we have estimated lower and upper bounds of the genus of such a ring.

Ograniczanie wyników

1 Open Mathematics

1 Nauman S. K.

1 Shafee B. H.

1 2015

Wyniki wyszukiwania

A class of zero divisor rings in which every graph is precisely the union of a complete graph and a complete bipartite graph