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Relevant bibliographies by topics / Regular ordered semigroup

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Academic literature on the topic 'Regular ordered semigroup'

Author: Grafiati

Published: 3 June 2025

Last updated: 13 July 2025

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Journal articles on the topic "Regular ordered semigroup"

1

Pinto, G. A. "Eventually Pointed Principally Ordered Regular Semigroups." Sultan Qaboos University Journal for Science [SQUJS] 24, no. 2 (2020): 139. http://dx.doi.org/10.24200/squjs.vol24iss2pp139-146.

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An ordered regular semigroup, , is said to be principally ordered if for every there exists . A principally ordered regular semigroup is pointed if for every element, we have . Here we investigate those principally ordered regular semigroups that are eventually pointed in the sense that for all there exists a positive integer, , such that . Necessary and sufficient conditions for an eventually pointed principally ordered regular semigroup to be naturally ordered and to be completely simple are obtained. We describe the subalgebra of generated by a pair of comparable idempotents and such that .

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2

Çullhaj, Fabiana, та Anjeza Krakulli. "On an equivalence between regular ordered Γ-semigroups and regular ordered semigroups". Open Mathematics 18, № 1 (2020): 1501–9. http://dx.doi.org/10.1515/math-2020-0107.

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3

Sajjad, Tehrim, Muhammad Izhar, Asghar Khan та Kostaq Hila. "Onint-soft quasi-Γ-ideals of an ordered Γ-semigroup". Filomat 38, № 13 (2024): 4511–28. https://doi.org/10.2298/fil2413511s.

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In this paper, we introduce the concept of int-soft ?-semigroup, int-soft quasi-?-semigroup and int-soft left (resp., right) ?-semigroup of ordered ?-semigroup over an initial universal set U. We investigate some properties of int-soft quasi-?-ideals and left (resp., right) ?-ideals of ordered ?-semigroup. Moreover, we define critical soft point of ordered ?-semigroup. By using the notion of critical soft point, we define semiprime int-soft quasi-?-ideals of ordered ?-semigroups. Characterizations of completely regular ordered ?-semigroups in terms of their int-soft quasi-?-ideals and semiprime int-soft quasi-?-ideals are provided. Furthermore, we define the semilattices of left and right simple sub-?-semigroups of ordered ?-semigroups and characterize them in terms of their int-soft quasi-?-ideals.

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4

Xie, Xiang-yun. "On Strongly Ordered Congruences and Decompositions of Ordered Semigroups." Algebra Colloquium 15, no. 04 (2008): 589–98. http://dx.doi.org/10.1142/s1005386708000564.

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In this paper, we introduce the concept of a strongly ordered congruence on a directed ordered semigroup S. We prove that any strongly ordered congruence on S is a strongly regular congruence. We characterize the finite direct product, subdirect product and full subdirect product of ordered semigroups by using the concepts of strongly ordered congruence and regular congruence on an ordered semigroup S.

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5

Kumar Bhuniya, Anjan, and Kalyan Hansda. "On Radicals of Green’s Relations in Ordered Semigroups." Canadian Mathematical Bulletin 60, no. 2 (2017): 246–52. http://dx.doi.org/10.4153/cmb-2016-093-7.

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AbstractIn this paper, we give a new definition of radicals of Green’s relations in an ordered semigroup and characterize left regular (right regular), intra regular ordered semigroups by radicals of Green’s relations. We also characterize the ordered semigroups that are unions and complete semilattices of t-simple ordered semigroups.

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6

Sadhya, Shauli, and Kalyan Hansda. "Generalized Green's relations and GV-ordered semigroups." Quasigroups and Related Systems 30, no. 1(47) (2022): 161–68. http://dx.doi.org/10.56415/qrs.v30.14.

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In this paper an extensive study of the concepts of generalized Green’s relations and GV -semigroups without order to ordered semigroups have been given. Our approach allows one to see the nature of generalized Green’s relations in the class of GV -ordered semigroups. Moreover we show that an ordered semigroup S is a GV -ordered semigroup if and only if S is a complete semilattice of completely π-regular and Archimedean ordered semigroups.

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7

Habib, Sana, Harish Garg, Yufeng Nie, and Faiz Muhammad Khan. "An Innovative Approach towards Possibility Fuzzy Soft Ordered Semigroups for Ideals and Its Application." Mathematics 7, no. 12 (2019): 1183. http://dx.doi.org/10.3390/math7121183.

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The objective of this paper is put forward the novel concept of possibility fuzzy soft ideals and the possibility of fuzzy soft interior ideals. The various results in the form of the theorems with these notions are presented and further validated by suitable examples. In modern life decision-making problems, there is a wide applicability of the possibility fuzzy soft ordered semigroup which has also been constructed in the paper to solve the decision-making process. Elementary and fundamental concepts including regular, intra-regular and simple ordered semigroups in terms of possibility fuzzy soft ordered semigroup are presented. Later, the concept of left (resp. right) regular and left (resp. right) simple in terms of possibility fuzzy soft ordered semigroups are delivered. Finally, the notion of possibility fuzzy soft semiprime ideals in an ordered semigroup is defined and illustrated by theorems and example.

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8

Abbasi, Mohammad Yahya, Abul Basar та Akbar Ali. "A characterization of ordered Γ-semigroups by ordered (m,n)-Γ-ideals". Boletim da Sociedade Paranaense de Matemática 39, № 4 (2021): 165–74. http://dx.doi.org/10.5269/bspm.41186.

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In this paper, we study (m,n)-regular ordered Γ-semigroups through ordered (m,n)-Γ-ideals. It is shown that if (S,Γ,·,≤) is an ordered Γ-semigroup; m,n are non-negative integers and A(m,n) is the set of all ordered (m,n)-Γ-ideals of S. Then, S is (m,n)-regular⇐⇒ ∀A ∈ A(m,n), A = (AmΓSΓAn]. It is also proved that if (S,Γ,·,≤) is an ordered Γ-semigroup and m,n are nonnegative integers and R(m,0) and L(0,n) is the set of all (m,0)-Γideals and (0,n)-Γ-ideals of S, respectively. Then, S is (m,n)-regular ordered Γ semigroup ⇐⇒∀R ∈R(m,0)∀L ∈L(0,n),R∩L = (RmΓL∩RΓLn].

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9

Shoji, Kunitaka. "Regular Semigroups Which Are Amalgamation Bases for Finite Semigroups." Algebra Colloquium 14, no. 02 (2007): 245–54. http://dx.doi.org/10.1142/s1005386707000247.

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In this paper, we prove that a completely 0-simple (or completely simple) semigroup is an amalgamation base for finite semigroups if and only if it is an amalgamation base for semigroups. By adopting the same method as used in a previous paper, we prove that a finite regular semigroup is an amalgamation base for finite semigroups if its [Formula: see text]-classes are linearly ordered and all of its principal factor semigroups are amalgamation bases for finite semigroups. Finally, we give an example of a finite semigroup U which is an amalgamation base for semigroups, but not all of its principal factor semigroups are amalgamation bases either for semigroups or for finite semigroups.

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10

Gambo, Ibrahim, Nor Haniza Sarmin, Hidayat Ullah Khan, and Muhammad Faiz Khan. "The characterization of regular ordered Gamma semigroups in terms of (E,EVq_k)-fuzzy Gamma ideals." Malaysian Journal of Fundamental and Applied Sciences 13, no. 4 (2017): 576–80. http://dx.doi.org/10.11113/mjfas.v0n0.608.

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The advancement in the fascinating area of fuzzy set theory has become area of much interest, generalization of the existing fuzzy subsystems of other algebraic structures is very important to tackle more current real life problems. In this paper, we give more generalized form of regular ordered gamma semigroups in terms of (E,EVq_k)-fuzzy gamma ideals. Particularly, we characterized left regular, right regular, simple and completely regular ordered gamma semigroups in terms of this new notion. Some necessary and sufficient conditions for ordered gamma semigroup to be completely regular are provided in this paper.

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Dissertations / Theses on the topic "Regular ordered semigroup"

1

Smith, Paula Mary. "Orders in completely regular semigroups." Thesis, University of York, 1990. http://ethos.bl.uk/OrderDetails.do?uin=uk.bl.ethos.280477.

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Book chapters on the topic "Regular ordered semigroup"

1

Higgins, Peter M. "Biordered sets." In Techniques of Semigroup Theory. Oxford University PressOxford, 1992. http://dx.doi.org/10.1093/oso/9780198535775.003.0003.

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Abstract In Section 1.5 the notion of the biordered set of a semigroupS was introduced, along with the associated idea of a sandwich set of an ordered pair of idempotents,S(e,f). That an element may always be drawn fromS(e,f) in caseS is regular was used implicitly in Theorem 1.4.17, and sandwich sets were also used to describe those regular semigroups in which the natural partial order is compatible with multiplication (Theorem 1.5.10 and Corollary 1.5.11).

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Srinivas, K. V. R., and Y. L. Anasuya. "Partial Orders in Regular Semigroups." In Characterisation of Semigroups and Rings. B P International (a part of SCIENCEDOMAIN International), 2023. http://dx.doi.org/10.9734/bpi/mono/978-81-19491-82-7/ch1.

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Conference papers on the topic "Regular ordered semigroup"

1

Mora, W., and Y. Kemprasit. "Regular Elements of Generalized Order-Preserving Transformation Semigroups." In The International Conference on Algebra 2010 - Advances in Algebraic Structures. WORLD SCIENTIFIC, 2011. http://dx.doi.org/10.1142/9789814366311_0033.

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