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of 79
pro vyhledávání: '"Rosenberg, Ivo G."'
The study of partial clones on $\mathbf{2}:=\{0,1\}$ was initiated by R. V. Freivald. In his fundamental paper published in 1966, Freivald showed, among other things, that the set of all monotone partial functions and the set of all self-dual partial
Externí odkaz:
http://arxiv.org/abs/1508.01103
Autor:
Delhommé, Christian, Miyakawa, Masahiro, Pouzet, Maurice, Rosenberg, Ivo G., Tatsumi, Hisayuki
A system $\mathcal M$ of equivalence relations on a set $E$ is \emph{semirigid} if only the identity and constant functions preserve all members of $\mathcal M$. We construct semirigid systems of three equivalence relations. Our construction leads to
Externí odkaz:
http://arxiv.org/abs/1505.02955
Autor:
Pouzet, Maurice, Rosenberg, Ivo G.
In 1986, the second author classified the minimal clones on a finite universe into five types. We extend this classification to infinite universes and to multiclones. We show that every non-trivial clone contains a "small" clone of one of the five ty
Externí odkaz:
http://arxiv.org/abs/0705.1519
Publikováno v:
In European Journal of Combinatorics 2010 31(3):925-931
Autor:
Rosenberg, Ivo G., Stenger, Frank
Publikováno v:
Mathematics of Computation, 1975 Apr 01. 29(130), 390-395.
Externí odkaz:
https://www.jstor.org/stable/2005558
Autor:
Machida, Hajime, Rosenberg, Ivo G.
Publikováno v:
数理解析研究所講究録. 2096:102-108
A multi-variable function is said to be sclf-commuting if it commutes with itself. As the first step toward the characterization of self-commuting functions defined on a finite set this article studies very basic facts on them. We restrict our attent
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=jairo_______::3f192e9017e03a210daccfe600d88b77
http://hdl.handle.net/2433/251742
http://hdl.handle.net/2433/251742
A Note on Witnesses of Centralizing Monoids (Algebraic system, Logic, Language and Computer Science)
Autor:
Machida, Hajime, Rosenberg, Ivo G.
Publikováno v:
数理解析研究所講究録. 2008:81-85
We consider multi-variable functions defined over a fixed finite set A. A centralizing monoid M is a set of unary functions on A which commute with all members of some set F of functions on A, where F is called a witness of M. We show that every cent
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=jairo_______::ac3df8c501e1398f93091c66d237c345
http://hdl.handle.net/2433/231551
http://hdl.handle.net/2433/231551
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