Those transitive verbs that are able to take both a direct object and an indirect object are called ditransitive; an example is the verb give above. Verbs that require a single object are called monotransitive. There are a few verbs, like "traded" above, that may be called "tritransitive".
Verbs that don't require an object are called intransitive, for example the verb to sleep. Since one cannot "sleep" something, the verb acts intransitively. Verbs that can be used in a transitive or intransitive way are called ambitransitive; an example is the verb eat, since the sentences I am eating (with an intransitive form) and I am eating an apple (with a transitive form that has an apple as the object) are both grammatically correct.
However, the definition of transitive verbs as those which have one object is not universal and is not used in grammars of many languages. For example, it is generally accepted in Polish grammar that transitive verbs are those which:
Both conditions are fulfilled in many instances of transitive verbs, ex. Maria widzi Jana (Mary sees John; Jana is the accusative form of Jan) - Jan jest widziany przez Marię (John is seen by Mary). However, there are exceptions, and verbs with one or even two objects may also be intransitive.