Irreducible generalized numerical semigroups and uniqueness of the Frobenius element
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DOI: 10.1007/s00233-019-10040-1
Abstract: Let $$\mathbb {N}^{d}$$Nd be the d-dimensional monoid of non-negative integers. A generalized numerical semigroup is a submonoid $$ S\subseteq \mathbb {N}^d$$S⊆Nd such that $$H(S)=\mathbb {N}^d \backslash S$$H(S)=Nd\S is a finite set. We introduce irreducible generalized… read more here.
Keywords: frobenius element; semigroups uniqueness; numerical semigroups; irreducible generalized ... See more keywords
Symmetric generalized numerical semigroups in Nd with embedding dimension 2d + 1
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DOI: 10.1080/00927872.2025.2513490
Abstract: Abstract In this article, we classify all symmetric generalized numerical semigroups in Nd of embedding dimension 2d+1. Consequently, we show that in the case d>1, the property of being symmetric is equivalent to have a… read more here.
Keywords: semigroups embedding; generalized numerical; symmetric generalized; numerical semigroups ... See more keywords
Algorithms for generalized numerical semigroups
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DOI: 10.1142/s0219498821500791
Abstract: We provide algorithms for performing computations in generalized numerical semigroups, that is, submonoids of [Formula: see text] with finite complement in [Formula: see text]. These semigroups are affine semigroups, which in particular implies that they… read more here.
Keywords: see text; numerical semigroups; generalized numerical; formula see ... See more keywords
Generalized A-numerical radius inequalities in semi-Hilbert spaces through the angle between two vectors
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DOI: 10.2989/16073606.2025.2512147
Abstract: Abstract This paper presents several inequalities related to the A-numerical radius in the context of semi-Hilbert space operators. By integrating modern techniques from operator theory and functional analysis, we derive new inequalities for the A-numerical… read more here.
Keywords: inequalities semi; semi hilbert; numerical radius; generalized numerical ... See more keywords