Relevant bibliographies by topics / -regular semigroups

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Academic literature on the topic '-regular semigroups'

Author: Grafiati
Published: 2 June 2025
Last updated: 31 July 2025

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Journal articles on the topic "-regular semigroups"

1

Luo, Xiao Qiang. "Π*-Regular Semigroups". Bulletin of Mathematical Sciences and Applications 1 (серпень 2012): 46–51. http://dx.doi.org/10.18052/www.scipress.com/bmsa.1.46.

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Ibrahim, Abudulkarim, Chidozie Udeogu, and Babagana Ibrahim Bukar. "On Some Classes of Regular Semigroups." International Journal of Development Mathematics (IJDM) 1, no. 3 (2024): 126–30. http://dx.doi.org/10.62054/ijdm/0103.09.

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In this paper we study and analyze the relationships between some special classes of regular semigroups, namely: Generalized inverse semigroups, Orthodox semigroups and locally inverse semigroups based on their idempotent properties. We then use an example to prove that every locally inverse semigroup is not a generalized inverse semigroup, thus validating the statement; “A generalized inverse semigroup has the property of being locally inverse. However, not every locally inverse semigroup is a generalized inverse semigroup.”
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Istikaanah, Najmah, Ari Wardayani, Renny Renny, Ambar Sari Nurahmadhani, and Agustini Tripena Br Sb. "SEMIGRUP REGULER DAN SIFAT-SIFATNYA." Jurnal Ilmiah Matematika dan Pendidikan Matematika 13, no. 2 (2021): 71. http://dx.doi.org/10.20884/1.jmp.2021.13.2.4968.

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This article discusses some properties of regular semigroups. These properties are especially concerned with the relation of the regular semigroups to ideals, subsemigroups, groups, idempoten semigroups and invers semigroups. In addition, this paper also discusses the Cartesian product of two regular semigroups.
 
 Keywords:ideal, idempoten semigroup, inverse semigroup, regular semigroup, subsemigroup.
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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 princi
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Wang, Shoufeng. "On E-semiabundant semigroups with a multiplicative restriction transversal." Studia Scientiarum Mathematicarum Hungarica 55, no. 2 (2018): 153–73. http://dx.doi.org/10.1556/012.2018.55.2.1374.

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Multiplicative inverse transversals of regular semigroups were introduced by Blyth and McFadden in 1982. Since then, regular semigroups with an inverse transversal and their generalizations, such as regular semigroups with an orthodox transversal and abundant semigroups with an ample transversal, are investigated extensively in literature. On the other hand, restriction semigroups are generalizations of inverse semigroups in the class of non-regular semigroups. In this paper we initiate the investigations of E-semiabundant semigroups by using the ideal of "transversals". More precisely, we fir
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G, Ramesh, and Mahendran S. "Some Properties of Commutative Ternary Right Almost Semigroups." Indian Journal of Science and Technology 16, no. 45 (2023): 4255–66. https://doi.org/10.17485/IJST/v16i45.1937.

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Abstract <strong>Objective/Background:</strong>&nbsp;In this paper, the concept of commutative ternary right almost semigroups is introduced. The properties of ternary right almost semigroups and commutative ternary right almost semigroups are also discussed. Finally, regular only and the regularity are also explored in ternary right almost semigroups.&nbsp;<strong>Methods:</strong>&nbsp;Properties of ternary right almost semigroup have been employed to carry out this research work to obtain all the characterizations of commutative ternary right almost semigroups, regular and normal correspond
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Yuan, Zhiling, and K. P. Shum. "$\widetilde{\cal H}$-Supercryptogroups Having Regular Band Congruence." Algebra Colloquium 16, no. 04 (2009): 709–20. http://dx.doi.org/10.1142/s1005386709000674.

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We consider a generalized superabundant semigroup within the class of semiabundant semigroups, called a supercryptogroup since it is an analogy of a cryptogroup in the class of regular semigroups. We prove that a semigroup S is an [Formula: see text]-regular supercryptogroup if and only if S can be expressed as a refined semilattice of completely [Formula: see text]-simple semigroups. Some results on regular cryptogroups are extended to [Formula: see text]-regular supercryptogroups. Some results on superabundant semigroups are also generalized.
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Lawson, Mark V. "Rees matrix covers for a class of abundant semigroups." Proceedings of the Royal Society of Edinburgh: Section A Mathematics 107, no. 1-2 (1987): 109–20. http://dx.doi.org/10.1017/s0308210500029383.

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SynopsisRecently considerable attention has been paid to the study of locally inverse regular semigroups. McAlister [14] obtained a description of such semigroups as locally isomorphic images of regular Rees matrix semigroups over an inverse semigroup. The class of abundant semigroups originally arose from ‘homological’ considerations in the theory of S-systems: they are the semigroup theoretic analogue of PP-rings. Cancellative monoids, full subsemigroups of regular semigroups as well as the multiplicative semigroups of PP rings are abundant. The aim of this paper is to show how the structure
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El-Qallali, Abdulsalam. "Left regular bands of groups of left quotients." Glasgow Mathematical Journal 33, no. 1 (1991): 29–40. http://dx.doi.org/10.1017/s0017089500008004.

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In this paper we characterize semigroups S which have a semigroup Q of left quotients, where Q is an ℛ-unipotent semigroup which is a band of groups. Recall that an ℛ-unipotent (or left inverse) semigroup S is one in which every ℛ-class contains a unique idempotent. It is well-known that any ℛ-unipotent semigroup 5 is a regular semigroup in which the set of idempotents is a left regular band in that efe = ef for any idempotents e, fin S. ℛ-unipotent semigroups were studied by several authors, see for example [1] and [13].Bailes [1]characterized ℛ-unipotent semigroups which are bands of groups.
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Tóth, Csaba. "Right regular triples of semigroups." Quasigroups and Related Systems 31, no. 2(50) (2024): 293–304. https://doi.org/10.56415/qrs.v31.23.

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Let M(S; Λ; P) denote a Rees I × Λ matrix semigroup without zero over a semigroup S, where I is a singleton. If θS denotes the kernel of the right regular representation of a semigroup S, then a triple A, B, C of semigroups is said to be right regular, if there are mappings A P←− B and B P 0 −→ C such that M(A; B; P)/θM(A;B;P ) ∼= M(C; B; P 0 ). In this paper we examine right regular triples of semigroups.
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Dissertations / Theses on the topic "-regular semigroups"

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Wilcox, Stewart. "Cellularity of Twisted Semigroup Algebras of Regular Semigroups." University of Sydney. Mathematics and Statistics, 2006. http://hdl.handle.net/2123/720.

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There has been much interest in algebras which have a basis consisting of diagrams, which are multiplied in some natural diagrammatic way. Examples of these so-called diagram algebras include the partition, Brauer and Temperley-Lieb algebras. These three examples all have the property that the product of two diagram basis elements is always a scalar multiple of another basis element. Motivated by this observation, we find that these algebras are examples of twisted semigroup algebras. Such algebras are an obvious extension of twisted group algebras, which arise naturally in various contexts; e
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Wilcox, Stewart. "Cellularity of Twisted Semigroup Algebras of Regular Semigroups." Thesis, The University of Sydney, 2005. http://hdl.handle.net/2123/720.

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There has been much interest in algebras which have a basis consisting of diagrams, which are multiplied in some natural diagrammatic way. Examples of these so-called diagram algebras include the partition, Brauer and Temperley-Lieb algebras. These three examples all have the property that the product of two diagram basis elements is always a scalar multiple of another basis element. Motivated by this observation, we find that these algebras are examples of twisted semigroup algebras. Such algebras are an obvious extension of twisted group algebras, which arise naturally in various contexts; e
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Wilcox, Stewart. "Cellularity of twisted semigroup algebras of regular semigroups /." Connect to full text, 2005. http://hdl.handle.net/2123/720.

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Wang, Yanhui. "Beyond regular semigroups." Thesis, University of York, 2012. http://etheses.whiterose.ac.uk/2373/.

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The topic of this thesis is the class of weakly U-abundant semigroups. This class is very wide, containing inverse, orthodox, regular, ample, adequate, quasi-adequate, concordant, abundant, restriction, Ehresmann and weakly abundant semigroups. A semigroup $S$ with subset of idempotents U is weakly U-abundant if every $\art_U$-class and every $\elt_U$-class contains an idempotent of U, where $\art_U$ and $\elt_U$ are relations extending the well known Green's relations $\ar$ and $\el$. We assume throughout that our semigroups satisfy a condition known as the Congruence Condition (C). We take s
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Sondecker, Victoria L. "Kernel-trace approach to congruences on regular and inverse semigroups." Instructions for remote access. Click here to access this electronic resource. Access available to Kutztown University faculty, staff, and students only, 1994. http://www.kutztown.edu/library/services/remote_access.asp.

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Thesis (M.A.)--Kutztown University of Pennsylvania, 1994.<br>Source: Masters Abstracts International, Volume: 45-06, page: 3173. Abstract precedes thesis as [2] preliminary leaves. Typescript. Includes bibliographical references (leaves 52-53).
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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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Carey, Rachael Marie. "Graph automatic semigroups." Thesis, University of St Andrews, 2016. http://hdl.handle.net/10023/8645.

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In this thesis we examine properties and constructions of graph automatic semigroups, a generalisation of both automatic semigroups and finitely generated FA-presentable semigroups. We consider the properties of graph automatic semigroups, showing that they are independent of the choice of generating set, have decidable word problem, and that if we have a graph automatic structure for a semigroup then we can find one with uniqueness. Semigroup constructions and their effect on graph automaticity are considered. We show that finitely generated direct products, free products, finitely generated
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Rodgers, James David, and jdr@cgs vic edu au. "On E-Pseudovarieties of Finite Regular Semigroups." RMIT University. Mathematical and Geospatial Sciences, 2007. http://adt.lib.rmit.edu.au/adt/public/adt-VIT20080808.155720.

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An e-pseudovariety is a class of finite regular semigroups closed under the taking of homomorphic images, regular subsemigroups and finite direct products. Chapter One consists of a survey of those results from algebraic semigroup theory, universal algebra and lattice theory which are used in the following two chapters. In Chapter Two, a theory of generalised existence varieties is developed. A generalised existence variety is a class of regular semigroups closed under the taking of homomorphic images, regular subsemigroups, finite direct products and arbitrary powers. Equivalently, a generali
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Moreira, Joel Moreira. "Partition regular polynomial patterns in commutative semigroups." The Ohio State University, 2016. http://rave.ohiolink.edu/etdc/view?acc_num=osu1467131194.

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Schumann, Rick. "Completely regular semirings." Doctoral thesis, Technische Universitaet Bergakademie Freiberg Universitaetsbibliothek "Georgius Agricola", 2013. http://nbn-resolving.de/urn:nbn:de:bsz:105-qucosa-117740.

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Vollständig reguläre Halbgruppen weisen eine stark regelmäßige Struktur auf, die verschiedenste Zerlegungsmöglichkeiten gestatten. Ziel dieser Dissertation ist es, diese strukturelle Regelmäßigkeit auf Halbringe zu übertragen und die gewonnenen Algebren zu untersuchen. Mehrere Charakterisierungen werden herausgearbeitet, aufgrund derer es sich herausstellt, dass die Klasse aller vollständig regulären Halbringe eine Varietät bilden, deren Untervarietäten in der Folge untersucht werden. Zentrale Bedeutung haben dabei vollständig einfache Halbringe, deren Analyse einen der Schwerpunkte der Arbeit
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Books on the topic "-regular semigroups"

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Petrich, Mario. Completely regular semigroups. Wiley, 1999.

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Pastijn, F. J. Regular semigroups as extensions. Pitman Advanced Pub. Program, 1985.

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Petrich, Mario, and Norman R. Reilly. Completely Regular Semigroup Varieties. Springer Nature Switzerland, 2024. http://dx.doi.org/10.1007/978-3-031-42891-3.

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Petrich, Mario, and Norman R. Reilly. Completely Regular Semigroup Varieties. Springer Nature Switzerland, 2025. https://doi.org/10.1007/978-3-031-48825-2.

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Petrich, Mario, and Norman R. Reilly. Completely Regular Semigroups. Wiley & Sons, Incorporated, John, 2011.

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Petrich, Mario, and Norman R. Reilly. Completely Regular Semigroups. Wiley & Sons, Incorporated, John, 2011.

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Regular Semigroups as Extensions (Research notes in mathematics). Longman Higher Education, 1986.

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Completely Regular Semigroup Varieties: Applications and Advanced Techniques. Springer, 2024.

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Completely Regular Semigroup Varieties: A Comprehensive Study with Modern Insights. Springer, 2023.

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Book chapters on the topic "-regular semigroups"

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Mordeson, John N., Davender S. Malik, and Nobuaki Kuroki. "Regular Semigroups." In Fuzzy Semigroups. Springer Berlin Heidelberg, 2003. http://dx.doi.org/10.1007/978-3-540-37125-0_3.

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Mordeson, John N., Davender S. Malik, and Nobuaki Kuroki. "Regular Fuzzy Expressions." In Fuzzy Semigroups. Springer Berlin Heidelberg, 2003. http://dx.doi.org/10.1007/978-3-540-37125-0_10.

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Reilly, Norman R. "Completely Regular Semigroups." In Lattices, Semigroups, and Universal Algebra. Springer US, 1990. http://dx.doi.org/10.1007/978-1-4899-2608-1_24.

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Munn, W. D. "Semigroup Rings of Completely Regular Semigroups." In Lattices, Semigroups, and Universal Algebra. Springer US, 1990. http://dx.doi.org/10.1007/978-1-4899-2608-1_21.

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Guo, Yuqi, Yun Liu, and Shoufeng Wang. "Regular Languages." In Topics on Combinatorial Semigroups. Springer Nature Singapore, 2024. http://dx.doi.org/10.1007/978-981-99-9171-6_3.

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Alimpić, Branka P., and Dragica N. Krgović. "Some congruences on regular semigroups." In Lecture Notes in Mathematics. Springer Berlin Heidelberg, 1988. http://dx.doi.org/10.1007/bfb0083419.

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Guo, Yuqi, Yun Liu, and Shoufeng Wang. "$$\mathcal {P}\mathcal {S}$$-Regular Languages." In Topics on Combinatorial Semigroups. Springer Nature Singapore, 2024. http://dx.doi.org/10.1007/978-981-99-9171-6_8.

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Romeo, P. G. "Biordered Sets and Regular Rings." In Semigroups, Algebras and Operator Theory. Springer India, 2015. http://dx.doi.org/10.1007/978-81-322-2488-4_7.

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Guo, Yuqi, Yun Liu, and Shoufeng Wang. "Relatively Disjunctive Languages and Relatively Regular Languages." In Topics on Combinatorial Semigroups. Springer Nature Singapore, 2024. http://dx.doi.org/10.1007/978-981-99-9171-6_6.

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Nambooripad, K. S. S. "Regular Elements in von Neumann Algebras." In Semigroups, Algebras and Operator Theory. Springer India, 2015. http://dx.doi.org/10.1007/978-81-322-2488-4_3.

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Conference papers on the topic "-regular semigroups"

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AUINGER, KARL. "ON EXISTENCE VARIETIES OF REGULAR SEMIGROUPS." In Semigroups, Algorithms, Automata and Languages. WORLD SCIENTIFIC, 2002. http://dx.doi.org/10.1142/9789812776884_0002.

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POLÁK, LIBOR. "OPERATORS ON CLASSES OF REGULAR LANGUAGES." In Semigroups, Algorithms, Automata and Languages. WORLD SCIENTIFIC, 2002. http://dx.doi.org/10.1142/9789812776884_0017.

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MITROVIĆ, MELANIJA, STOJAN BOGDANOVIĆ та MIROSLAV ĆIRIĆ. "LOCALLY UNIFORMLY π-REGULAR SEMIGROUPS". У Proceedings of the International Conference. WORLD SCIENTIFIC, 2000. http://dx.doi.org/10.1142/9789812792310_0009.

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Xie, Xiang-Yun, and Jian Tang. "Fuzzy Regular Semigroups in Fuzzy Spaces." In 2009 International Workshop on Intelligent Systems and Applications. IEEE, 2009. http://dx.doi.org/10.1109/iwisa.2009.5072879.

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STRAUBING, HOWARD. "FINITE SEMIGROUPS AND THE LOGICAL DESCRIPTION OF REGULAR LANGUAGES." In Semigroups, Algorithms, Automata and Languages. WORLD SCIENTIFIC, 2002. http://dx.doi.org/10.1142/9789812776884_0020.

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Wang, Lili, and Aifa Wang. "Some Properties of Regular Crypto - abundant Semigroups." In 3rd International Conference on Electric and Electronics. Atlantis Press, 2013. http://dx.doi.org/10.2991/eeic-13.2013.97.

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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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Liao, Zuhua, Shu Cao, Miaohan Hu, Yang Zhang, and Cuiyun Hao. "(epsilon, epsilon Vq (lamda, mu))-Fuzzy Regular * -Semigroups." In 2011 Fourth International Conference on Information and Computing (ICIC). IEEE, 2011. http://dx.doi.org/10.1109/icic.2011.3.

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Tang, Gaohua, Huadong Su, and Yangjiang Wei. "Commutative rings and zero-divisor semigroups of regular polyhedrons." In 5th China–Japan–Korea International Ring Theory Conference. WORLD SCIENTIFIC, 2008. http://dx.doi.org/10.1142/9789812818331_0017.

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Suryoto and Titi Udjiani S. R. R. Maria. "Characterization of regular semigroups and some related algebraic structures." In ADVANCES IN INTELLIGENT APPLICATIONS AND INNOVATIVE APPROACH. AIP Publishing, 2023. http://dx.doi.org/10.1063/5.0140674.

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