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Douglas Harper's Etymology Dictionary
lexeme

1937, from lexicon + -eme, ending abstracted from morpheme. Related: Lexemic.

Wiktionary
lexeme

n. 1 (context linguistics English) Roughly, the set of inflected forms taken by a single word, such as the lexeme RUN including as members "run" (lemma), "running" (inflected form), or "ran", and excluding "runner" (derived term). 2 (context computing English) an individual instance of a continuous character sequence without spaces, used in lexical analysis (see token)

WordNet
lexeme

n. a minimal unit (as a word or stem) in the lexicon of a language; `go' and `went' and `gone' and `going' are all members of the English lexeme `go'

Wikipedia
Lexeme

A lexeme is a unit of lexical meaning that exists regardless of the number of inflectional endings it may have or the number of words it may contain. It is a basic unit of meaning, and the headwords of a dictionary are all lexemes. Put more technically, a lexeme is an abstract unit of morphological analysis in linguistics, that roughly corresponds to a set of forms taken by a single word. For example, in the English language, run, runs, ran and running are forms of the same lexeme, conventionally written as RUN. A related concept is the lemma (or citation form), which is a particular form of a lexeme that is chosen by convention to represent a canonical form of a lexeme. Lemmas, being a subset of lexemes, are likewise used in dictionaries as the headwords, and other forms of a lexeme are often listed later in the entry if they are not common conjugations of that word.

A lexeme belongs to a particular syntactic category, has a certain meaning ( semantic value), and in inflecting languages, has a corresponding inflectional paradigm; that is, a lexeme in many languages will have many different forms. For example, the lexeme RUN has a present third person singular form runs, a present non-third-person singular form run (which also functions as the past participle and non-finite form), a past form ran, and a present participle running. (It does not include runner, runners, runnable, etc.) The use of the forms of a lexeme is governed by rules of grammar; in the case of English verbs such as RUN, these include subject- verb agreement and compound tense rules, which determine which form of a verb can be used in a given sentence.

A lexicon consists of lexemes.

In many formal theories of language, lexemes have subcategorization frames to account for the number and types of complements. They occur within sentences and other syntactic structures.

The notion of a lexeme is very central to morphology, and thus, many other notions can be defined in terms of it. For example, the difference between inflection and derivation can be stated in terms of lexemes:

  • Inflectional rules relate a lexeme to its forms.
  • Derivational rules relate a lexeme to another lexeme.