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On the generators of a generalized numerical semigroup

Carmelo Cisto
Carmelo Cisto
, 
Gioia Failla
Gioia Failla
 and 
Rosanna Utano
Rosanna Utano
   | Mar 02, 2019
Analele ştiinţifice ale Universităţii "Ovidius" Constanţa. Seria Matematică's Cover Image
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Published Online: Mar 02, 2019
Page range: 49 - 59
Received: Jan 27, 2018
Accepted: Apr 27, 2018
DOI: https://doi.org/10.2478/auom-2019-0003
Keywords
© 2019 Carmelo Cisto et al., published by Sciendo
This work is licensed under the Creative Commons Attribution-NonCommercial-NoDerivatives 3.0 License.

We give a characterization on the sets A ⊆ ℕd such that the monoid generated by A is a generalized numerical semigroup (GNS) in ℕd. Furthermore we give a procedure to compute the hole set ℕd \ S, where S is a GNS, if a finite set of generators of S is known.

eISSN:
1844-0835
Language:
English
Publication timeframe:
Volume Open
Journal Subjects:
Mathematics, General Mathematics
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