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THE NATURAL PARTIAL ORDER ON LINEAR SEMIGROUPS WITH NULLITY AND CO-RANK BOUNDED BELOW
Bulletin of the Australian Mathematical Society, 2014 AbstractHiggins [‘The Mitsch order on a semigroup’, Semigroup Forum 49 (1994), 261–266] showed that the natural partial orders on a semigroup and its regular subsemigroups coincide. This is why we are interested in the study of the natural partial order on nonregular semigroups.
Chaopraknoi, Sureeporn +2 more
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Semigroup Forum, 2019
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Yanisa Chaiya
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Yanisa Chaiya
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Semigroup Forum
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Kritsada Sangkhanan, Jintana Sanwong
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Kritsada Sangkhanan, Jintana Sanwong
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Canadian Journal of Mathematics, 1968
Let n be an ordinal. A partial ordering P of the ordinals T = T(n) = {w: w < n} is called natural if x P y implies x ⩽ y.A natural partial ordering, hereafter abbreviated NPO, of T(n) is thus a coarsening of the natural total ordering of the ordinals. Every partial ordering of a finite set 5 is isomorphic to a natural partial ordering.
Dean, R. A., Keller, G.
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Let n be an ordinal. A partial ordering P of the ordinals T = T(n) = {w: w < n} is called natural if x P y implies x ⩽ y.A natural partial ordering, hereafter abbreviated NPO, of T(n) is thus a coarsening of the natural total ordering of the ordinals. Every partial ordering of a finite set 5 is isomorphic to a natural partial ordering.
Dean, R. A., Keller, G.
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THE NATURAL PARTIAL ORDER ON SOME TRANSFORMATION SEMIGROUPS
Bulletin of the Australian Mathematical Society, 2013AbstractFor a semigroup $S$, let ${S}^{1} $ be the semigroup obtained from $S$ by adding a new symbol 1 as its identity if $S$ has no identity; otherwise let ${S}^{1} = S$. Mitsch defined the natural partial order $\leqslant $ on a semigroup $S$ as follows: for $a, b\in S$, $a\leqslant b$ if and only if $a= xb= by$ and $a= ay$ for some $x, y\in {S}^{1}
Chaopraknoi, Sureeporn +2 more
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Automorphisms of B(H) with respect to minus partial order
Journal of Mathematical Analysis and Applications, 2010 Let H be an infinite-dimensional Hilbert space and B(H) the algebra of all bounded linear operators on H. We discuss possible extensions of the concept of the minus partial order from matrix to operator algebras.
Peter Šemrl
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Fractals, 2023
Being a useful technique for solving differential equation, the study investigated the utility/efficiency of Natural Transform coupled with Adomian Decomposition Method (NADM). For this purpose, one-dimensional (1D) fuzzy fractional-order heat equation was split into two hybrid equations consisting of upper and lower solutions by the fast technique ...
MUHAMMAD USMAN +3 more
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Being a useful technique for solving differential equation, the study investigated the utility/efficiency of Natural Transform coupled with Adomian Decomposition Method (NADM). For this purpose, one-dimensional (1D) fuzzy fractional-order heat equation was split into two hybrid equations consisting of upper and lower solutions by the fast technique ...
MUHAMMAD USMAN +3 more
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A Note on Naturally Ordered Semigroups of Partial Transformations Preserving an Equivalence
Bulletin of the Iranian Mathematical Society, 2020zbMATH Open Web Interface contents unavailable due to conflicting licenses.
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Naturally Ordered Semigroups of Partial Transformations Preserving an Equivalence Relation
Communications in Algebra, 2013Let X be a set with |X| ≥3, P(X) the semigroup of all partial transformations on the set X, E be an equivalence relation on X, and Then P E (X) forms a subsemigroup of P(X). In this article, we consider the natural order ≤on P E (X) and determine when two elements of P E (X) are related under this order.
Pei Huisheng, Deng Weina
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