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Rosales, J. C.; García-Sánchez, P. A.; Urbano-Blanco, J. M.

On presentations of commutative monoids. (English) Zbl 1028.20037

Int. J. Algebra Comput. 9, No. 5, 539-553 (1999).
Summary: We introduce the concept of a ‘strongly reduced monoid’ and we characterize the minimal presentations for such monoids. As a consequence, we give a method to obtain a presentation for any commutative monoid.

Cited in 9 Documents

MSC:

20M05 Free semigroups, generators and relations, word problems
20M14 Commutative semigroups

Keywords:

strongly reduced monoids; commutative monoids; minimal presentations
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References:

[1] DOI: 10.1007/BF01273309 · Zbl 0211.33801 · doi:10.1007/BF01273309
[2] DOI: 10.1142/S021819679600026X · Zbl 0863.20026 · doi:10.1142/S021819679600026X
[3] DOI: 10.1080/00927879608825809 · Zbl 0940.20058 · doi:10.1080/00927879608825809
[4] DOI: 10.1007/BF02573522 · Zbl 0831.20080 · doi:10.1007/BF02573522
[5] DOI: 10.1017/S0013091500019866 · Zbl 0904.20048 · doi:10.1017/S0013091500019866
[6] DOI: 10.2748/tmj/1178227496 · Zbl 0714.14034 · doi:10.2748/tmj/1178227496
This reference list is based on information provided by the publisher or from digital mathematics libraries. Its items are heuristically matched to zbMATH identifiers and may contain data conversion errors. In some cases that data have been complemented/enhanced by data from zbMATH Open. This attempts to reflect the references listed in the original paper as accurately as possible without claiming completeness or a perfect matching.