N5 as a Subalgebra of a Principally Ordered Naturally Ordered Regular Semigroup with a Zero Element
We start with a basic and technical result: If S is a principally ordered regular semigroup that has a zero element, 0, then 0* is the biggest element (in fact, idempotent) of S.
G.A. Pinto
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Generalized Bi-ideal of Ordered Semigroup Related to Intuitionistic Fuzzy Point [PDF]
Intuitionistic fuzzy generalized bi-ideals play an important role in the study of ordered semigroups. In this paper, we try obtain more general form of intuitionistic fuzzy generalized bi-ideal of an ordered semigroup.
Hidayat Ullah Khan +3 more
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On (∈, ∈ ∨q)−anti fuzzy bi-ideals of ordered semigroup [PDF]
In this paper, we introduce the notions of (∈¯, ∈ ∨ ¯q¯)−fuzzy bi-ideals, (∈, ∈ ∨q)−antifuzzy bi-ideals and (∈¯, ∈ ∨ ¯q¯)−antifuzzy bi-ideals of an ordered semigroup.
G. Mohanraj, D. Krishnaswamy, R. Hema
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Semilattices of Archimedean Ordered Semigroups
In this paper we deal with the decomposition of some classes of ordered semigroups into archimedean components. In particular, we prove that in ordered semigroups the concepts of semilattices of archimedean semigroups and of complete semilattices of archimedean semigroups are the same.
Kehayopulu, N., Tsingelis, M.
openaire +3 more sources
Some ordered hypersemigroups which enter their properties into their σ-classes [PDF]
An important problem in the theory of ordered hypersemigroups is to describe the ordered hypersemigroups which enter their properties into their σ-classes.
Niovi Kehayopulu
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Stability of Viscous Three‐Dimensional Stratified Couette Flow via Dispersion and Mixing
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 +2 more
wiley +1 more source
Fuzzy ideals of ordered semigroups with fuzzy orderings
The purpose of this paper is to introduce the notions of ∈, ∈ ∨qk-fuzzy ideals of a fuzzy ordered semigroup with the ordering being a fuzzy relation. Several characterizations of ∈, ∈ ∨qk-fuzzy left (resp. right) ideals and ∈, ∈ ∨qk-fuzzy interior ideals
Huang Xiaokun, Li Qingguo
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A Linear Generalization of the Nearly Gorenstein Property, With Applications to Veronese Subalgebras
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
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Noetherian and Artinian ordered groupoids—semigroups
Chain conditions, finiteness conditions, growth conditions, and other forms of finiteness, Noetherian rings and Artinian rings have been systematically studied for commutative rings and algebras since 1959.
Niovi Kehayopulu, Michael Tsingelis
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Kernel Bounds for Parabolic Operators Having First‐Order Degeneracy at the Boundary
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
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