halmazain

Halmazain is a Hungarian grammatical form that marks the possessive plural of the noun halmaz, which means set. It appears in phrases in which multiple sets are owned by or associated with a subject. The form is part of Hungarian’s productive system of possessive suffixes, which attach to the noun and vary by person and number. Halmazain is typically used when the possessor is a third-person singular or plural entity and is combined with other elements in a noun phrase to express ownership or relation, such as in contexts referencing elements or properties of sets.

In mathematical and logical writing in Hungarian, halmazain and related forms are used to discuss properties of a family or collection of sets, their elements, and constructions derived from them. The exact interpretation—whether “its sets” or “their sets”—depends on context and the surrounding pronouns or determiners. The form often appears in compound phrases where the possessed noun further specifies a relationship to halmazain, for example in references to elements, subsets, or internal structure of the sets.

Related forms include halmazai (its/their sets) and halmazainak (of its/their sets). The form’s vowel harmony and suffix pattern reflect standard Hungarian possessive morphology and are familiar to readers of mathematical Hungarian texts.

See also: Hungarian grammar, possessive case, Hungarian mathematical terminology.