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- W2057492084 abstract "Let be a finitely presented semigroup having a minimal left ideal L and a minimal right ideal R. The main result gives a presentation for the group R∩L. It is obtained by rewriting the relations of , using the actions of on its minimal left and minimal right ideals. This allows the structure of the minimal two-sided ideal of to be described explicitly in terms of a Rees matrix semigroup. These results are applied to the Fibonacci semigroups, proving the conjecture that S(r, n, k) is infinite if g.c.d.(n, k)>1 and g.c.d.(n, r+k−1)>1. Two enumeration procedures, related to rewriting the presentation of into a presentation for R∩L, are described. The first enumerates the minimal left and minimal right ideals of , and gives the actions of on these ideals. The second enumerates the idempotents of the minimal two-sided ideal of ." @default.
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- W2057492084 date "1995-02-01" @default.
- W2057492084 modified "2023-09-28" @default.
- W2057492084 title "REWRITING A SEMIGROUP PRESENTATION" @default.
- W2057492084 doi "https://doi.org/10.1142/s0218196795000070" @default.
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