"Irrelatively" means "without relation to or connection with something else." There are several synonyms one can use for this word, such as "independently," "separately," "disconnectedly," "unrelatedly," and "isolatedly." "Independently" suggests something acting on its own and not influenced by other factors. "Separately" implies a deliberate separation between two things or entities. "Disconnectedly" means lacking any connection or communication with other things. "Unrelatedly" denotes two things having no connection or association. "Isolatedly" refers to something being separated from others and not able to interact. Therefore, these synonyms can be used interchangeably to convey the same meaning as the word "irrelatively".