Is Eukarya a domain?

Hint: In biological taxonomy a domain is the highest taxonomic rank of organisms in the three-domain system of taxonomy invented by Carl Woes et al. in \[1990\].
Definition:-
Domain is the uppermost taxonomic rank in the hierarchical biological classification system above the kingdom level. The three domains are Archaea, Bacteria, and Eukarya. In simple words a domain denotes the biggest of all groups in the classification of life.

Complete answer:
The first two domains among the tree are all prokaryotic microorganisms. That means typically single-celled creatures whose cells have a distorted or non-membrane bound nucleus. Organisms that have a cellular nucleus and eukaryotic membrane-bound organelles are involved in the Eukarya domain.
Non-cellular life is not included in this system. Replacements to the three-domain system comprise the earlier two empire system (with the territories Prokaryote and Eukaryote), and the eocyte hypothesis (with two domains of Bacteria and Archaea and Eukarya involved within Archaea).
Associates of the domain Eukarya, called eukaryotes, differ greatly from the other two. The word eukaryote stems from the Greek ‘eu’ (means true) and ‘karyon’ (means nut or kernel). They have membrane-bound organelles (counting a nucleus holding genetic material) and are signified by five kingdoms: Plantae, Protozoa, Animalia, Chromists, and Fungi.

Note:
Eukarya is the single domain that consists of multicellular and visible creatures like plants and trees, people and animals. It’s also the domain of several microorganisms like fungi, algae and micro-animals. Fungi are so diverse that two dissimilar fungi can be as genetically different as a fish and a person.
Bacteria and Archaea seem to have a lot in common primarily. The creatures in these domains don’t have a nucleus and thus are called prokaryotes. It is a combination of the Greek words ‘pro’ (means before) and ‘karyon’ (means nut or kernel). Just as the name suggests, the domain Bacteria comprises bacteria. The microbes in the domain Archaea appear like bacteria but are dissimilar in a few vital ways. They frequently live in extreme places like in the hot geysers, cold deep sea or acidic volcanoes.