Year 2016, Volume 37, Issue 4, Pages 303 - 313 2016-10-20

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

Seda OĞUZ ÜNAL [1]

462 338

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.

Journal Section Natural Sciences Research Article
Authors

Author: Seda OĞUZ ÜNAL

Bibtex @ { cumuscij297347, journal = {Cumhuriyet Üniversitesi Fen Edebiyat Fakültesi Fen Bilimleri Dergisi}, issn = {1300-1949}, eissn = {1300-1949}, address = {Cumhuriyet University}, year = {2016}, volume = {37}, pages = {303 - 313}, doi = {}, title = {Special Semigroup Classes Over Some Monoid Constructions and a New Example of a Finitely Presented Monoid with a Non-Finitely Generated Group of Units}, key = {cite}, author = {OĞUZ ÜNAL, Seda} }
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. Retrieved from http://dergipark.org.tr/cumuscij/issue/28003/297347
MLA 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 37 (2016): 303-313 <http://dergipark.org.tr/cumuscij/issue/28003/297347>
Chicago 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 37 (2016): 303-313
RIS TY - JOUR T1 - Special Semigroup Classes Over Some Monoid Constructions and a New Example of a Finitely Presented Monoid with a Non-Finitely Generated Group of Units AU - Seda OĞUZ ÜNAL Y1 - 2016 PY - 2016 N1 - DO - T2 - Cumhuriyet Üniversitesi Fen Edebiyat Fakültesi Fen Bilimleri Dergisi JF - Journal JO - JOR SP - 303 EP - 313 VL - 37 IS - 4 SN - 1300-1949-1300-1949 M3 - UR - Y2 - 2019 ER -
EndNote %0 Cumhuriyet Üniversitesi Fen Edebiyat Fakültesi Fen Bilimleri Dergisi Special Semigroup Classes Over Some Monoid Constructions and a New Example of a Finitely Presented Monoid with a Non-Finitely Generated Group of Units %A Seda OĞUZ ÜNAL %T Special Semigroup Classes Over Some Monoid Constructions and a New Example of a Finitely Presented Monoid with a Non-Finitely Generated Group of Units %D 2016 %J Cumhuriyet Üniversitesi Fen Edebiyat Fakültesi Fen Bilimleri Dergisi %P 1300-1949-1300-1949 %V 37 %N 4 %R %U
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 (October 2016): 303-313.