Zobrazeno 1 - 10 of 49 pro vyhledávání: '"Emil Daniel SCHWAB"'
1
Akademický článek
A note on $(a,b)$-Fibonacci sequences and specially multiplicative arithmetic functions
Autor: Emil Daniel Schwab, Gabriela Schwab
Publikováno v: Mathematica Bohemica, Vol 149, Iss 2, Pp 237-246 (2024)
A specially multiplicative arithmetic function is the Dirichlet convolution of two completely multiplicative arithmetic functions. The aim of this paper is to prove explicitly that two mathematical objects, namely $(a,b)$-Fibonacci sequences and spec
Externí odkaz: https://doaj.org/article/26c44c3d5ce545dc82638bf658e93630
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4
Gauge Inverse Monoids
Autor: Emil Daniel Schwab
Publikováno v: Algebra Colloquium. 27:181-192
The paper introduces a class of inverse (sub)monoids which contains Jones–Lawson’s gauge inverse (sub)monoid. The aim is to give examples and the basic properties of these monoids. Jones–Lawson’s gauge inverse monoid, as an inverse submonoid
Externí odkaz: https://explore.openaire.eu/search/publication?articleId=doi_________::de1b3d51bd93ec339347b63526340d21
https://doi.org/10.1142/s1005386720000152
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6
Akademický článek
A Partial Order on Bipartite Graphs with n Vertices
Autor: Emil Daniel Schwab
Publikováno v: Anale: Seria Informatică, Vol VII, Iss 1, Pp 315-324 (2009)
The paper examines a partial order on bipartite graphs (X1, X2, E) with n vertices, X1∪X2={1,2,…,n}. The basis of such bipartite graph is X1 = {1,2,…,k}, 0≤k≤n. If U = (X1, X2, E(U)) and V = (Y1,Y2, E(V)) then U≤V iff |X1| ≤ |Y1| and {(
Externí odkaz: https://doaj.org/article/090f79f28c394b2483f4735f88e16a44
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7
Akademický článek
On the Combinatorial Inverse Monoid IO3
Autor: Emil Daniel Schwab, Romero Efren
Publikováno v: Anale: Seria Informatică, Vol 4, Iss 1, Pp 213-227 (2006)
In this paper we have compute the Mobius category and the Mobius function of the combinatorial inverse monoid IO3 of all order preserving partial bijections on the set M3={1,2,3}. This category is the reduced standard division category CF(IO3) relati
Externí odkaz: https://doaj.org/article/a0cfa591fa76447a8544ba94d582fa71
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8
A note on Möbius functions and a breaking process
Autor: Emil Daniel Schwab
Publikováno v: Journal of Algebra and Its Applications. 21
Links between Möbius functions and inverse semigroups are an interesting topic for study. In this paper, we restrict our interest to the submonoid of right units (as a Möbius monoid) of a combinatorial bisimple inverse monoid. The Möbius functions
Externí odkaz: https://explore.openaire.eu/search/publication?articleId=doi_________::4fef5d71c8f9333eaef36aed736e7532
https://doi.org/10.1142/s0219498822501080
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9
Sets of lengths in atomic unit-cancellative finitely presented monoids
Autor: Emil Daniel Schwab, Alfred Geroldinger
Publikováno v: Colloquium Mathematicum. 151:171-187
For an element $a$ of a monoid $H$, its set of lengths $\mathsf L (a) \subset \mathbb N$ is the set of all positive integers $k$ for which there is a factorization $a=u_1 \cdot \ldots \cdot u_k$ into $k$ atoms. We study the system $\mathcal L (H) = \
Externí odkaz: https://explore.openaire.eu/search/publication?articleId=doi_dedup___::5139a3c18feb9aedf569aab9b60d4e9f
https://doi.org/10.4064/cm7242-6-2017
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10
A half-factorial locally right Garside monoid and the inverse monoid of cofinite monotone partial bijections on $${\mathbb {N}}^{*}$$ N ∗
Autor: Emil Daniel Schwab
Publikováno v: Semigroup Forum. 92:393-413
The half-factorial, locally right Garside monoid of cofinite monotone sequences on $${\mathbb {N}}^{*}$$ is considered in this paper. This is a right cancellative, left rigid Mobius monoid, and this monoid directs us to the inverse monoid of cofinite
Externí odkaz: https://explore.openaire.eu/search/publication?articleId=doi_________::ba6ec2cfe5d0e267ad5f5ead773bba52
https://doi.org/10.1007/s00233-015-9727-z
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