scholarly journals A Note on the w-Pseudo-Orders in Ordered (Semi)Hyperrings

Symmetry ◽  
2021 ◽  
Vol 13 (12) ◽  
pp. 2371
Author(s):  
Xiaoli Qiang ◽  
Hao Guan ◽  
Hossein Rashmanlou
Keyword(s):  

In this work, we study the notion of w-pseudo-order on an ordered (semi)hyperring and give some explicit examples. In addition, we give some examples to compare weak pseudo-order relations with pseudo-order relations. Finally, we construct ordered (semi)hyperrings using regular relations.

2020 ◽  
Vol 30 (4) ◽  
pp. 257-264
Author(s):  
Ze Gu

AbstractLet b, n be two positive integers such that b ≥ 2, and S(b, n) be the numerical semigroup generated by $\begin{array}{} \{b^{n+1+i}+\frac{b^{n+i}-1}{b-1}\mid i\in\mathbb{N}\} \end{array}$. Applying two order relations, we give formulas for computing the embedding dimension, the Frobenius number, the type and the genus of S(b, n).


2013 ◽  
Vol 47 (5) ◽  
pp. 572-579 ◽  
Author(s):  
Paul T. van der Heijden ◽  
Gina M.P. Rossi ◽  
William M. van der Veld ◽  
Jan J.L. Derksen ◽  
Jos I.M. Egger

2014 ◽  
Vol 140 (21) ◽  
pp. 214103 ◽  
Author(s):  
Yusaku I. Kurokawa ◽  
Hiroyuki Nakashima ◽  
Hiroshi Nakatsuji

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