A copy of this work was available on the public web and has been preserved in the Wayback Machine. The capture dates from 2019; you can also visit the original URL.
The file type is
We propose a new class of mathematical structures called(m,n)-semirings(which generalize the usual semirings) and describe their basic properties. We define partial ordering and generalize the concepts of congruence, homomorphism, and so forth, for(m,n)-semirings. Following earlier work by Rao (2008), we consider systems made up of several components whose failures may cause them to fail and represent the set of such systems algebraically as an(m,n)-semiring. Based on the characteristics ofdoi:10.1155/2013/482391 fatcat:eaw7tiscnfey3ahe3fqxqkibhi