Results 11 to 20 of about 135 (131)

PARTIAL ORDERS ON SEMIGROUPS OF PARTIAL TRANSFORMATIONS WITH RESTRICTED RANGE [PDF]

Bulletin of the Australian Mathematical Society, 2012
AbstractLet X be any set and P(X) the set of all partial transformations defined on X, that is, all functions α:A→B where A,B are subsets of X. Then P(X) is a semigroup under composition. Let Y be a subset of X. Recently, Fernandes and Sanwong defined PT(X,Y )={α∈P(X):Xα⊆Y } and defined I(X,Y ) to be the set of all injective transformations in PT(X,Y )
Sangkhanan, Kritsada, Sanwong, Jintana
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From lattices to Hv-matrices

Analele Stiintifice ale Universitatii Ovidius Constanta: Seria Matematica, 2016
In this paper we study the concept of sets of elements, related to results of an associative binary operation. We discuss this issue in the context of matrices and lattices.
Křehlík Štěpán, Novák Michal
doaj   +1 more source

The extension on cancellative partial order and quotient ordered homomorphism of cancellative partially ordered semigroup(可消偏序半群的可消偏序扩张与商序同态)

Zhejiang Daxue xuebao. Lixue ban, 2016
引入偏序半群的商半拟序的概念，利用商半拟序给出了可消偏序半群上的偏序可扩张为可消偏序的充分条件.通过偏序半群的半拟序σ、模σ的闭半拟链，商半拟序和偏序扩张以及可消偏序半群的可消偏序扩张，对偏序半群的商序同态进行了刻画，得到了若干重要的结论.
SHAOHaiqin(邵海琴), GUOLiqin(郭莉琴)   +1 more
doaj   +1 more source

On the extension of partial orders on semigroups of right quotients. [PDF]

Transactions of the American Mathematical Society, 1969
for a partial order Os of S is sufficient in order to extend Os to a partial order 0T of T(l). Beyond this we have proved in [13] that each partial order of S can be extended to a partial order of T, and that one has the following situation: On the one hand, there is a 1-1 correspondence between all partial orders 0T of T and those partial orders OS of
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Completions for partially ordered semigroups

Semigroup Forum, 1986
A standard completion Y is a function which assigns to each poset P a system YP of lower ends of P such that (i) YP contains all principal lower ends of P and (ii) YP is closed under arbitrary set intersection. A detailed study of such completions in its natural categorical setting has been published recently by the first-named author [Quaest. Math. 9,
Erné, M., Reichman, J.Z.
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Natural Partial Orders on Transformation Semigroups with Fixed Sets [PDF]

International Journal of Mathematics and Mathematical Sciences, 2016
LetXbe a nonempty set. For a fixed subsetYofX, letFixX,Ybe the set of all self-maps onXwhich fix all elements inY. ThenFixX,Yis a regular monoid under the composition of maps. In this paper, we characterize the natural partial order onFix(X,Y)and this result extends the result due to Kowol and Mitsch.
Yanisa Chaiya, D. Preeyanuch Honyam, Jintana Sanwong   +2 more
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Residuated Partially Ordered Semigroups

Journal of Korean Institute of Intelligent Systems, 2007
In this paper, we investigate the properties of residuated partially ordered sets as weak definitions of algebraic structures in many valued logics. We study the left(resp. right) residuated semigroups induced by right(resp. left) associated map. We give their examples.
Seok-Jong Lee, Yong-Chan Kim
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Stability of Viscous Three‐Dimensional Stratified Couette Flow via Dispersion and Mixing

Communications on Pure and Applied Mathematics, EarlyView.
ABSTRACT This article explores the stability of stratified Couette flow in the viscous 3d$3d$ Boussinesq equations. In this system, mixing effects arise from the shearing background, and gravity acts as a restoring force leading to dispersive internal gravity waves.
Michele Coti Zelati, Augusto Del Zotto, Klaus Widmayer   +2 more
wiley   +1 more source

A Linear Generalization of the Nearly Gorenstein Property, With Applications to Veronese Subalgebras

Mathematische Nachrichten, EarlyView.
ABSTRACT We study the nearly Gorenstein property for Veronese subalgebras of (semi‐)standard graded algebras. We introduce a condition (♮)$(\natural)$ for Cohen–Macaulay semi‐standard graded rings, motivated by the study of Ehrhart rings. We show that if a semi‐standard graded algebra R$ R$ satisfies (♮)$(\natural)$, then its Veronese subalgebras R(k)$
Sora Miyashita
wiley   +1 more source

Kernel Bounds for Parabolic Operators Having First‐Order Degeneracy at the Boundary

Mathematische Nachrichten, EarlyView.
ABSTRACT We study kernel estimates for parabolic problems governed by singular elliptic operators ∑i,j=1N+1qijDij+cDyy,cγ+1>0,γ=qN+1,N+1,$$\begin{equation*} \sum _{i,j=1}^{N+1}q_{ij}D_{ij}+c\frac{D_y}{y},\qquad \frac{c}{\gamma }+1>0, \quad \gamma =q_{N+1,N+1}, \end{equation*}$$in the half‐space R+N+1={(x,y):x∈RN,y>0}$\mathbb {R}^{N+1}_+=\lbrace (x,y ...
L. Negro, C. Spina
wiley   +1 more source