The Nagata–Higman theorem for semirings

Research output: Contribution to journalArticlepeer-review


This paper contains the proof of the Nagata–Higman theorem for semirings (with non-commutative addition in general). The main results are the following: Theorem. Let AA be an ll-generated semiring with commutative addition in which the identity xm=0xm=0 is satisfied. Then the nilpotency index of AA is not greater than 2lm+1m32lm+1m3. Nagata–Higman theorem for general semirings. If an ll-generated semiring satisfies the identity xm=0xm=0 than every word in it of length greater than mm⋅2lm+1m3+mmm⋅2lm+1m3+m is zero.
Original languageAmerican English
Pages (from-to)523-527
JournalFundamentalnaya i Prikladnaya Matematika (Moscow)
Issue number2
StatePublished - 1995

Bibliographical note

Full text: PDF file (223 kB)
References References (in Russian): PDF file HTML файл

Bibliographic databases:


Dive into the research topics of 'The Nagata–Higman theorem for semirings'. Together they form a unique fingerprint.

Cite this