4 papers
Spectra of the zero-divisor graph of finite rings
Krishnat D. Masalkar, Anil Khairnar, Anita Lande +1
The zero-divisor graph of a ring is a graph with nonzero zero-divisors of as vertices and distinct vertices are adjacent if or . We provide an equ…
Natural Partial Order on Rings with Involution
Avinash Patil, B. N. Waphare
In this paper, we introduce a partial order on rings with involution, which is a generalization of the partial order on the set of projections in a Rickart *-ring. We prove that a…
Zero-divisor graphs of lower dismantlable lattices-II
Avinash Patil, B. N. Waphare, Vinayak Joshi
In this paper, we continue our study of the zero-divisor graphs of lower dismantlable lattices that was started in [20]. The present paper mainly deals with an Isomorphism Problem…
Zero-divisor graphs of lower dismantlable lattices-I
Avinash Patil, B. N. Waphare, Vinayak Joshi +1
In this paper, we study the zero-divisor graphs of a subclass of dismantlable lattices. These graphs are characterized in terms of the non-ancestor graphs of rooted trees.