Výsledky vyhledávání - "green's relation"

Akademický článek

Some subvarieties of semiring variety COS$ ^{+}_{3} $

Autor: Xuliang Xian, Yong Shao, Junling Wang

Publikováno v: AIMS Mathematics, Vol 7, Iss 3, Pp 4293-4303 (2022)

In this paper, we study some subvarieties of a semiring variety determined by certain additional identities. We first present alternative characterizations for equivalences $ \overset{+}{\mathcal{H}}{\cap}\overset{\cdot}{\mathcal{L}} $, $ \overset{+}

Externí odkaz: https://doaj.org/article/64eb9d6c023e4b718124a93bf046f5f4

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Akademický článek

Green’s Relations on Submonoids of Generalized Hypersubstitutions of Type (n)

Autor: Kunama Pornpimol, Leeratanavalee Sorasak

Publikováno v: Discussiones Mathematicae - General Algebra and Applications, Vol 41, Iss 2, Pp 239-248 (2021)

A generalized hypersubstitution of type τ = (n) is a function which takes the n-ary operation symbol f to the term of the same type σ(f ) which does not necessarily preserve the arity. Let HypG(n) be the set of all these generalized hypersubstituti

Externí odkaz: https://doaj.org/article/e7371ceb0be645859e3766e064ce73cd

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Akademický článek

Some results on semigroups of transformations with restricted range

Autor: Yan Qingfu, Wang Shoufeng

Publikováno v: Open Mathematics, Vol 19, Iss 1, Pp 69-76 (2021)

Let XX be a non-empty set and YY a non-empty subset of XX. Denote the full transformation semigroup on XX by T(X)T\left(X) and write f(X)={f(x)∣x∈X}f\left(X)=\{f\left(x)| x\in X\} for each f∈T(X)f\in T\left(X). It is well known that T(X,Y)={f�

Externí odkaz: https://doaj.org/article/409be9a1e905499f8ab9600ee5b52f9b

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Akademický článek

A study on weak hyperfilters of ordered semihypergroups

Autor: Jian Tang, Xiang-Yun Xie, Ze Gu

Publikováno v: AIMS Mathematics, Vol 6, Iss 5, Pp 4319-4330 (2021)

In this paper, the notion of weak hyperfilters of an ordered semihypergroup is introduced, and several related properties and applications are given. In particular, we discuss the relationship between the weak hyperfilters and the prime hyperideals i

Externí odkaz: https://doaj.org/article/3437525ce2514149afab253bd91c6b23

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Akademický článek

On residuated skew lattices

Autor: Saeid Arsham Borumand, Koohnavard Roghayeh

Publikováno v: Analele Stiintifice ale Universitatii Ovidius Constanta: Seria Matematica, Vol 27, Iss 1, Pp 245-268 (2019)

In this paper, we define residuated skew lattice as non-commutative generalization of residuated lattice and investigate its properties. We show that Green’s relation 𝔻 is a congruence relation on residuated skew lattice and its quotient algebra

Externí odkaz: https://doaj.org/article/838674194e6a4606b3d8e5865421ad30

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