In algebraic number theory, $$o_k$$ refers to the ring of integers of a number field $$k$$, which consists of all elements in the field that are integral over the integers. This concept is crucial as it allows mathematicians to study the algebraic properties of number fields and their relationships with the integers, providing a structured way to analyze divisibility, factorization, and units within these fields.
congrats on reading the definition of o_k. now let's actually learn it.