...Subramanian Visweswaran Purpose This paper aims to determine the Roman domination number of the complement of sum annihilating ideal graph of a reduced ring with the assumption that its domination number is finite. We have studied in a previous work the domination number of the complement of sum...

...) is not an ideal of R. We are able to characterize R such that ZT(R) is connected under the assumptions that the zero ideal of R admits a strong primary decomposition and Z(R) is not an ideal of R. With the above assumptions, we are able to determine the domination number of ZT(R). Research limitations...