A construction of a finitely presented semigroup containing an infinite square-free ideal with zero multiplication

Ilya Ivanov-Pogodaev; Sergey Malev; Olga Sapir

doi:10.1142/S0218196718400088

A construction of a finitely presented semigroup containing an infinite square-free ideal with zero multiplication

Ilya Ivanov-Pogodaev
, Sergey Malev
, Olga Sapir

Research output: Contribution to journal › Article › peer-review

6 Scopus citations

Abstract

This work provides an example of a finitely presented semigroup H with zero containing an infinite ideal of the form I = LH, where L is a generator of H, such that every word in generators representing an element of I is square free (i.e. any word of the type LXYYZ, for non-empty Y, equals zero in H).

Original language	English
Pages (from-to)	1565-1573
Number of pages	9
Journal	International Journal of Algebra and Computation
Volume	28
Issue number	8
DOIs	https://doi.org/10.1142/S0218196718400088
State	Published - 1 Dec 2018
Externally published	Yes

Keywords

Finitely presented semigroups
nil ideals
nil rings
nil semigroups

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10.1142/S0218196718400088

Cite this

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abstract = "This work provides an example of a finitely presented semigroup H with zero containing an infinite ideal of the form I = LH, where L is a generator of H, such that every word in generators representing an element of I is square free (i.e. any word of the type LXYYZ, for non-empty Y, equals zero in H).",

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AB - This work provides an example of a finitely presented semigroup H with zero containing an infinite ideal of the form I = LH, where L is a generator of H, such that every word in generators representing an element of I is square free (i.e. any word of the type LXYYZ, for non-empty Y, equals zero in H).

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KW - nil ideals

KW - nil rings

KW - nil semigroups

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A construction of a finitely presented semigroup containing an infinite square-free ideal with zero multiplication

Abstract

Keywords

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