homomorphism

noun

"homomorphism" is a 12-letter English headword indexed on PlainSpell.

The verdict

“homomorphism” is uncommon English (frequency #91,611 among 2,646 “H” headwords), classed as a noun. The kind of spelling people second-guess.

#91,611
frequency rank, English
2,646
“H” headwords

According to Wiktionary data (CC BY-SA, analyzed September 3, 2026) - A structure-preserving map between two algebraic structures of the same type, such as groups, rings, or vector spaces.

Corpus desk

Index EN-homomorphism · homomorphism · English

homomorphism · rank #91,611 · 0 variants · 0 confusables

  • FREQ-RARE #91,611
  • LEN-MEGA 12 letters
  • VOW-4 4 vowels
  • CONFUS-0 No pairs
  • VAR-0 0 variants
  • BOOK-MID 2,646
  • PHOTO-FINISH hokum

Nearest frequency peer: hokum (-1 rank slots)

Read with this headword: Spelling guide for this pattern

Desk codes from Wiktionary headword shape, FrequencyWords rank tier, confusable-pair count, generated misspelling depth, letter-cohort book size, and photo-finish peer. Not a difficulty grade.

Long-tail ranks near “homomorphism”

Sparse band: bars invert rank so rarer forms read shorter

corpus weight

What this shows Long-tail view: where “homomorphism” sits against similarly uncommon English ranks.

Source FrequencyWords open word-frequency list As of September 3, 2026
Key facts for homomorphism
PropertyValue
Headwordhomomorphism
LanguageEnglish
Part of speechNoun
Letters12
Frequency rank#91,611
Misspellings tracked0
Confusable pairs0
SourceWiktionary (kaikki.org)

Long-tail rank of “homomorphism” in English

Word frequency stretches from the small set of words we reach for constantly (left) out to the long tail barely used once in a while (right).homomorphismfalls in this rarity band:

#1#100#1K#10K#100K
← used constantlyrarely used →

Scale is logarithmic (each tick is 10× rarer). Rare peers in the same band: “hokum” (#91,610), “Hoekstra” (#91,609), “histopathological” (#91,608). Among 2,646 “H” headwords, “homomorphism” is #91,611. Source: FrequencyWords open word-frequency list.

Rare enough to double-check

homomorphism is uncommon English at frequency #91,611 among 2,646 “H” headwords, classed as anoun. Rarity is why readers land here mid-draft. 2 senses are on record.

Our edit-distance generator produced no likely misspellings for homomorphism, since its letter pattern doesn't lend itself to common typo substitutions. It is not paired with a close-neighbour confusable in our dataset, which typically means the spelling is too distinctive to be mistaken for another word.

Etymologically, the entry records: From homo- + morphism. The correct English form is homomorphism, spelled H-O-M-O-M-O-R-P-H-I-S-M.

Definition

  1. 1
    A structure-preserving map between two algebraic structures of the same type, such as groups, rings, or vector spaces.
  2. 2
    A similar appearance of two unrelated organisms or structures, as for example with fish and whales.

Recorded use

Wiktionary examples

These source excerpts show how homomorphism appears in context. They illustrate usage; the definition above remains the entry’s reference meaning.

  1. A field homomorphism is a map from one field to another one which is additive, multiplicative, zero-preserving, and unit-preserving.
  2. 1954, Kuo-Tsai Chen, Iterated Integrals and Exponential Homomorphisms, Proceedings of the London Mathematical Society, Reprinted in 2001, Philippe Tondeur (editor), Collected Papers of K.-T. Chen, Birkhäuser, page 54, This motivates a generalization, and exponential homomorphisms are now defined, in an algebraic fashion, from certain free products to form…

Etymology

From homo- + morphism.

This word in other languages

Definitions, pronunciation, and etymology for this entry are drawn from Wiktionary via the kaikki.org structured extract (CC BY-SA); frequency ordering uses the FrequencyWords open word-frequency list (2018 English corpus, MIT). See the methodology for how each field is sourced and updated.

Frequently Asked Questions

How do you spell "homomorphism"?
"homomorphism" is spelled H-O-M-O-M-O-R-P-H-I-S-M.
What does "homomorphism" mean?
As a noun, "homomorphism" means: A structure-preserving map between two algebraic structures of the same type, such as groups, rings, or vector spaces.
What is the origin of the word "homomorphism"?
From homo- + morphism. See the full etymology section above for more details.
Is PlainSpell free to use?
Yes, PlainSpell is a completely free word reference. You can look up definitions, pronunciations, confusable pairs, homophones, and spelling corrections across 5 languages without any sign-up or subscription.

Similar English words by spelling shape

Same letter count and similar misspelling depth for "homomorphism", not the corpus desk frequency band.

Same letter count

Frequency-ranked English headwords with 12 letters (nearest by frequency rank).

Source: Wiktionary (via kaikki.org) Structured Wiktionary extract

Source: FrequencyWords open word-frequency list