A. Iampan Aiyared ¢â‚¬¢ Algebraic Theory of Semigroups, Ternary Semigroups and ®â€œ-Semigroups ¢â‚¬¢ Lattices

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  • Aiyared Iampan Young Algebraist

    A. Iampan

    H 08 4048 9784

    T 0 5446 6666#1792

    u 0 5446 6664

    B aiyared.ia@up.ac.th

    "If A equals success, then the formula is: A = X+Y+Z.

    X is work, Y is play, Z is keep your mouth shut."

    -Albert Einstein-

    CONTACT INFORMATION

    Department of Mathematics

    School of Science

    University of Phayao (Old Name: Naresuan Phayao University)

    Phayao 56000

    THAILAND

    SciUP: http://www.science.up.ac.th,

    Facebook: https://www.facebook.com/Aj.iAMPAN,

    GYA: http://gyainup.weebly.com,

    ORCiD: https://orcid.org/0000-0002-0475-3320,

    MathSciNet: https://mathscinet.ams.org/mathscinet/MRAuthorID/812449,

    zbMath: https://zbmath.org/authors/?q=ai%3Aiampan.aiyared,

    Google Scholar: https://scholar.google.co.th/citations?user=8kM8cJ4AAAAJ&hl=en,

    Mendeley (Scopus): https://www.mendeley.com/profiles/aiyared-iampan,

    Publons (Web of Science): https://publons.com/researcher/2732179/aiyared-iampan,

    EDUCATION

    2005-2008 Ph.D. in Mathematics, Department of Mathematics, Faculty of Science, Naresuan University, Phitsanulok 65000, Thailand.

    Homepage: http://www.sci.nu.ac.th/mathematics

    Thesis: Ideal Extensions and Congruences in Γ-Semigroups, May 2008. Abstract

    available at http://www.riclib.nrct.go.th/abs/abe39730.pdf.

    Thesis Advisor: Manoj Siripitukdet

    (cls) Modifications by A. IAMPAn, October 2009 1/29

  • 2002-2004 M.S. in Mathematics, Department of Mathematics, Faculty of Science, Naresuan University, Phitsanulok 65000, Thailand.

    Homepage: http://www.sci.nu.ac.th/mathematics

    Thesis: Minimal and Maximal Ordered Left Ideals and some Congruences in po-

    Γ-Semigroups, April 2004. Abstract available at http://www.riclib.nrct.go.th/abs/abe22886.pdf.

    Thesis Advisor: Manoj Siripitukdet

    1998-2002 B.S. in Mathematics, Department of Mathematics, Faculty of Science, Naresuan University, Phitsanulok 65000, Thailand.

    Homepage: http://www.sci.nu.ac.th/mathematics

    IS: Tensor Product, March 2002.

    IS Advisor: Manoj Siripitukdet

    RESEARCH INTERESTS

    • Algebraic Theory of Semigroups, Ternary Semigroups and Γ-Semigroups

    • Lattices and Ordered Algebraic Structures

    • Fuzzy Algebraic Structures

    • Logical Algebras: UP-algebras

    • Remainder Number Theory

    RESEARCH PROJECTS

    2005 1. Research project funded by Naresuan University Phayao Campus. Title: Minimal and maximal ordered bi-ideals in ordered semigroups

    Author: Aiyared Iampan

    Budget: 40,000 Baht

    2007 2. Research project funded by Faculty of Science, Naresuan University. Title: The Green-Kehayopulu relations in le-Γ-semigroups

    Authors: Manoj Siripitukdet, Aiyared Iampan

    Budget: 50,000 Baht

    2009 3. Research project funded by Naresuan Phayao University. Title: On ordered ideal extensions of ordered ternary semigroups

    Author: Aiyared Iampan Budget: 40,000 Baht

    2010 4. Research project funded by the Commission on Higher Education (CHE), the Thailand Research Fund (TRF), and the University of Phayao (UP).

    Title: Fuzzy sets and Green’s relations of ordered Γ-groupoids in terms of fuzzy

    subsets

    Author: Aiyared Iampan

    Mentor: Manoj Siripitukdet

    Budget: 352,000 Baht

    (cls) Modifications by A. IAMPAn, October 2009 2/29

  • 2013 5. Research project funded by the National Research Council of Thailand (NRCT). Title: A new branch of the logical algebra: UP-algebras

    Author: Aiyared Iampan

    Budget: 120,000 Baht

    6. Research project funded by the Commission on Higher Education (CHE).

    Title: Characterizing intuitionistic fuzzy Γ-ideals of ordered Γ-semigroups by means

    of intuitionistic fuzzy points

    Author: Aiyared Iampan

    Budget: 150,000 Baht

    2015 7. Research project funded by the National Research Council of Thailand (NRCT). Title: Derivations of UP-algebras by means of endomorphisms

    Author: Aiyared Iampan Budget: 139,500 Baht

    2018 8. Research project funded by the National Research Council of Thailand (NRCT). Title: A new branch of the hyperstructure: hyper UP-algebras

    Author: Aiyared Iampan Budget: 108,000 Baht

    INTERNATIONAL ARTICLES

    2004 1. Iampan A, Siripitukdet M. On minimal and maximal ordered left ideals in po-Γ- semigroups. Thai Journal of Mathematics 2004; 2(2): 275-282. (ISSN 1686-0209)

    http://www.math.science.cmu.ac.th/thaijournal/completed22/Manoj.pdf

    2006 2. Siripitukdet M, Iampan A. On the least (ordered) semilattice congruences in ordered Γ-semigroups. Thai Journal of Mathematics 2006; 4(1): 403-415. (ISSN 1686-0209)

    http://www.math.science.cmu.ac.th/thaijmath/vol%204%20no%202%202006/15_Manoj.pdf

    2007 3. Iampan A. On minimal and maximal ordered bi-ideals in ordered semigroups. Far East Journal of Mathematical Sciences (FJMS) 2007; 27(2): 473-482. (ISSN

    0972-0871)

    http://pphmj.com/abstract/2861.htm

    4. Iampan A. Lateral ideals of ternary semigroups. Ukrainian Mathematical Bul-

    letin 2007; 4(4): 525-534. (ISSN 1812-3309)

    http://alma-mater.lnpu.edu.ua/electron_versions/ukr-mat_4_4.pdf

    (cls) Modifications by A. IAMPAn, October 2009 3/29

  • 5. Siripitukdet M, Iampan A. On the n-prime ideals in Γ-semigroups. Far East

    Journal of Mathematical Sciences (FJMS) 2007; 27(3): 659-668. (ISSN 0972- 0871)

    http://pphmj.com/abstract/2911.htm

    2008 6. Siripitukdet M, Iampan A. The Green-Kehayopulu relations in le-Γ-semigroups. International Journal of Algebra 2008; 2(3): 101-108. (ISSN 1312-8868)

    http://www.m-hikari.com/ija/ija-password-2008/ija-password1-4-2008/siripidukdetIJA1-4-2008.pdf

    7. Siripitukdet M, Iampan A. On the ideal extensions in Γ-semigroups. Kyungpook Mathematical Journal 2008; 48(4): 585-591. (ISSN 1225-6951)

    http://kmj.knu.ac.kr/xe/?mid=articles&document_srl=1476&page=4&listStyle=webzine

    8. Siripitukdet M, Iampan A. On the ordered n-prime ideals in ordered Γ- semigroups. Communications of the Korean Mathematical Society 2008; 23(1):

    19-27. (ISSN 1225-1763)

    http://www.mathnet.or.kr/mathnet/thesis_file/03_C07-086.pdf

    9. Siripitukdet M, Iampan A. Bands of weakly r-archimedean Γ-semigroups. In-

    ternational Mathematical Forum 2008; 3(8): 385-395. (ISSN 1312-7594)

    http://www.m-hikari.com/imf-password2008/5-8-2008/siripitukdetIMF5-8-2008.pdf

    10. Siripitukdet M, Iampan A. Decomposition of commutative ordered Γ-

    semigroups into archimedean components. Lobachevskii Journal of Mathematics

    2008; 29(1): 40-46. (ISSN 1995-0802) (IF2007=0.107)

    http://www.springerlink.com/content/v6060731hjk375g8/fulltext.pdf

    11. Iampan A. A note on (ordered) filters in (ordered) ternary semigroups. JP Journal of Algebra, Number Theory and Applications 2008; 10(1): 89-96. (ISSN

    0972-5555)

    http://pphmj.com/abstract/3535.htm

    (cls) Modifications by A. IAMPAn, October 2009 4/29

  • 12. Iampan A. On characterizations of (0-)minimal and maximal ordered left (right)

    ideals in ordered ternary semigroups. Global Journal of Pure and Applied Mathe-

    matics 2008; 4(1): 91-100. (ISSN 0973-1768)

    http://www.ripublication.com/gjpamv3/gjpamv4n1_8.pdf

    13. Iampan A. Minimality and maximality of ordered quasi-ideals in ordered semi- groups. Asian-European Journal of Mathematics 2008; 1(1): 85-92. (ISSN 1793-

    5571)

    http://www.worldscinet.com/aejm/01/0101/S1793557108000096.html

    14. Iampan A. On bi-ideals of semigroups. Lobachevskii Journal of Mathematics

    2008; 29(2): 68-72. (ISSN 1995-0802) (IF2007=0.107)

    http://www.springerlink.com/content/h85121392814n3nn/fulltext.pdf

    15. Iampan A. Quasi-ideals of semigroups. JP Journal of Algebra, Number The-

    ory and Applications 2008; 12(1): 93-102. (ISSN 0972-5555)

    http://pphmj.com/abstract/3613.htm

    16. Iampan A. A characterization of quasi-ideals in Γ-semigroups. Journal of

    Mathematical Sciences: Advances and Applications 2008; 1(2): 431-442. (ISSN 0974-5750)

    http://scientificadvances.org/journals1P5.htm

    2009 17. Siripitukdet M, Iampan A. On ordered ideal extensions in po-Γ-semigroups. Southeast Asian Bulletin of Mathematics 2009; 33(3): 543-550. (ISSN 0129-2021)

    http://seams-bull-math.scnu.edu.cn/qikan/manage/wenzhang/p13_97005.pdf

    18. Iampan A. Characterizing the minimality and maximality of ordered lateral ide- als in ordered ternary semigroups. Journal of the Korean Mathematical Society

    2009; 46(4): 775-784. (ISSN 0304-9914) (IF2008=0.339)

    http://www.kms.or.kr/home/journal/RPArticles/View.asp?IDXNo=995&Page=1

    (cls) Modifications by A. IAMPAn, October 2009 5/29

  • 19. Iampan A. Note on bi-ideals in Γ-semigroups. International Journal of Algebra

    2009; 3(4): 181-188. (ISSN 1312-8868)

    http://www.m-hikari.com/ija/ija-password-2009/ija-password1-4-2009/iampanIJA1-4-2009.pdf

    20. Iampan A. Characterizing ordered bi-ideals in ordered Γ-semigroups. Iranian

    Journal of Mathematical Sciences and Informatics 2009; 4(1): 17-25. (ISSN 1735- 4463)

    http://www.ijmsi.ir/browse.php?a_code=A-10-1-61&sid=1&slc_lang=en

    21. Siripitukdet M, Iampan A. Decomposition of commutative Γ-semigroups into archimedean components. International Journal of Mathematics and Analysis

    2009; 1(2): 175-185. (ISSN 0973-3604)

    http://www.serialspublic