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Year 2016, Volume: 37 Issue: 4, 303 - 313, 20.10.2016

Seda Oğuz Ünal

Abstract

Special Semigroup Classes Over Some Monoid Constructions and a New Example of a Finitely Presented Monoid with a Non-Finitely Generated Group of Units

Year 2016, Volume: 37 Issue: 4, 303 - 313, 20.10.2016

Seda Oğuz Ünal

Abstract

Abstract. In this paper, necessary and sufficient conditions are studied for Bruck-Reilly and gener- alized Bruck-Reilly ∗-extensions of direct product of k monoids to be regular, unit regular, completely regular and orthodox. Moreover, we give an example of a finitely presented monoid (generalized Bruck-Reilly ∗-extension of Bruck-Reilly extension of a free group with infinite rank), the group of units of which is not finitely generated.

2010 Mathematics Subject Classification: 16S15; 20E06; 20E22.

Keywords and Phrases: Generalized Bruck-Reilly ∗-extension, finite generation, finite presentability.

 

Özet.  Bu makalede k tane monoidin direkt çarpımının Bruck-Reilly ve genelleştirilmiş Bruck-Reilly *- genişlemelerinin, regüler, terslenebilir regüler, tamamen regüler ve orthodox olabilmesi için gerek ve yeter koşullar çalışılmıştır.  Ayrıca, biz terslenebilir elemanlarının grubu sonlu üreteçli olmayan sonlu sunumlu bir monoid (sonsuz ranklı bir serbest grubun Bruck-Reilly genişlemesinin genelleştirilmiş Bruck-Reilly *-genişlemesi) örneği verdik.

 

Anahtar Kelimeler: Genelleştirilmiş Bruck-Reilly *-genişlemesi, sonlu üreteçlilik, sonlu sunumluluk.

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Details

Journal Section Natural Sciences Research Article
Authors

Seda Oğuz Ünal

Publication Date October 20, 2016
Published in Issue Year 2016 Volume: 37 Issue: 4

Cite

APA Oğuz Ünal, S. (2016). Special Semigroup Classes Over Some Monoid Constructions and a New Example of a Finitely Presented Monoid with a Non-Finitely Generated Group of Units. Cumhuriyet Üniversitesi Fen Edebiyat Fakültesi Fen Bilimleri Dergisi, 37(4), 303-313.
AMA Oğuz Ünal S. Special Semigroup Classes Over Some Monoid Constructions and a New Example of a Finitely Presented Monoid with a Non-Finitely Generated Group of Units. Cumhuriyet Üniversitesi Fen Edebiyat Fakültesi Fen Bilimleri Dergisi. November 2016;37(4):303-313.
Chicago Oğuz Ünal, Seda. “Special Semigroup Classes Over Some Monoid Constructions and a New Example of a Finitely Presented Monoid With a Non-Finitely Generated Group of Units”. Cumhuriyet Üniversitesi Fen Edebiyat Fakültesi Fen Bilimleri Dergisi 37, no. 4 (November 2016): 303-13.
EndNote Oğuz Ünal S (November 1, 2016) Special Semigroup Classes Over Some Monoid Constructions and a New Example of a Finitely Presented Monoid with a Non-Finitely Generated Group of Units. Cumhuriyet Üniversitesi Fen Edebiyat Fakültesi Fen Bilimleri Dergisi 37 4 303–313.
IEEE S. Oğuz Ünal, “Special Semigroup Classes Over Some Monoid Constructions and a New Example of a Finitely Presented Monoid with a Non-Finitely Generated Group of Units”, Cumhuriyet Üniversitesi Fen Edebiyat Fakültesi Fen Bilimleri Dergisi, vol. 37, no. 4, pp. 303–313, 2016.
ISNAD Oğuz Ünal, Seda. “Special Semigroup Classes Over Some Monoid Constructions and a New Example of a Finitely Presented Monoid With a Non-Finitely Generated Group of Units”. Cumhuriyet Üniversitesi Fen Edebiyat Fakültesi Fen Bilimleri Dergisi 37/4 (November 2016), 303-313.
JAMA Oğuz Ünal S. Special Semigroup Classes Over Some Monoid Constructions and a New Example of a Finitely Presented Monoid with a Non-Finitely Generated Group of Units. Cumhuriyet Üniversitesi Fen Edebiyat Fakültesi Fen Bilimleri Dergisi. 2016;37:303–313.
MLA Oğuz Ünal, Seda. “Special Semigroup Classes Over Some Monoid Constructions and a New Example of a Finitely Presented Monoid With a Non-Finitely Generated Group of Units”. Cumhuriyet Üniversitesi Fen Edebiyat Fakültesi Fen Bilimleri Dergisi, vol. 37, no. 4, 2016, pp. 303-1.
Vancouver Oğuz Ünal S. Special Semigroup Classes Over Some Monoid Constructions and a New Example of a Finitely Presented Monoid with a Non-Finitely Generated Group of Units. Cumhuriyet Üniversitesi Fen Edebiyat Fakültesi Fen Bilimleri Dergisi. 2016;37(4):303-1.