Results 271 to 280 of about 391,233 (284)
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Natural congruences and isomorphism theorems for directed complete partially ordered sets

Algebra universalis, 2017
It was shown by \textit{T. S. Blyth} and \textit{M. F. Janowitz} in [Residuation theory. Oxford etc.: Pergamon Press. (1972; Zbl 0301.06001)] that an equivalence \(R\) on an ordered set is a congruence, i.e. the quotient structure is an ordered set again, if and only if \(R\) is convex. Directed complete partially ordered sets play an important role in
Mahmoudi, Mojgan   +2 more
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Natural Partial Orders on Division Rings with Involution

1993
This article studies intrinsic or natural partial orders on involutive division rings (D,*, II), where (a + b)* = a* + b*, (ab)* = b*a*, a** = a for a, b ∈ D, and where II is the strictly positive cone for an additive partial group order on (D, +). The involution defines several natural multiplicative subgroups G ⊂ D\ 0, and the positive cones are ...
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Classes of semigroups with compatible natural partial order. I.

Mathematica Pannonica, 2011
Summary: In this survey we find new semigroups and collect all semigroups known up to now that have a right (two-sided) compatible natural partial order. In this first part trivially, resp. totally, ordered semigroups are considered and semigroups in special classes -- in particular (E-)medial semigroups -- with this property are studied.
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NATURAL PARTIAL ORDERING ON E(HypG(2))

Asian-European Journal of Mathematics, 2013
The concept of generalized hypersubstitutions was introduced by S. Leeratanavalee and K. Denecke as a way of making precise the concepts of strong hyperidentity and M-strong hyperidentity. The set Hyp G(2) of all generalized hypersubstitutions of type τ = (2) forms a monoid.
Wattapong Puninagool   +1 more
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The natural partial order on linear transformation semigroups with restrictions on nullity or co-rank

2023
The natural partial order ≤ on a semigroup S is a partial order de ned by a ≤ b if and only if a = xb = by and a = ay for some x; y ϵ S¹ where S¹ is the semigroup obtained from S such that S¹ = S if S has an identity and if S has no identity, let S1 be S with the identity 1 adjoined.
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Regularity and natural partial order on invariant transformation semigroups

Let T(X) be the full transformation semigroup on a nonempty set X. For any nonempty subset Y of X, we denote by TY(X)={α ∈ T(X) : Y α ⊆ Y} the invariant subsemigroup of T(X), consisting of all transformations on X that map Y into itself. In this thesis, we characterize the regularity of certain subsemigroups of TY(X). In addition, we provide necessary
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Reduced order modeling and large-scale validation for non-catalytic partial oxidation of natural gas

Chemical Engineering Science, 2022
Yury Voloshchuk, Andreas Richter
exaly  

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