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BibTex RIS Kaynak Göster

Yıl 2024, Erken Görünüm, 1 - 12

Nurten Urlu Özalan

https://doi.org/10.15672/hujms.1085952

Öz

Kaynakça

  • Referans1 F. Ates, A. S. Cevik, \textit{Knit products of finite cyclic groups and their applications}, Rend Seminario Matematico della Univ di Padova \textbf{121} (2009), 1-12.
  • Referans2 M. G. Brin, \textit{On the Zappa-Sz\'{e}p product}, Communications in Algebra, \textbf{33} (2005), 393-424.
  • Referans3 A. S. Cevik, S. A. Wazzan, F. Ates, \textit{A higher version of Zappa products for monoids}, Hacet J Math Stat, \textbf{50} (2021), no. 1, 224-235.
  • Referans4 N. D. Gilbert, S. A. Wazzan, \textit{Zappa-Sz\'{e}p products of bands and groups}, Semigroup Forum, \textbf{77} (2008), Article number: 438.
  • Referans5 V. Gould, M. B. Szendrei, \textit{Proper restriction semigroups-semidirect products and $W$-products}, Acta Math Hungarica, \textbf{141} (2013), 36-57.
  • Referans6 V. Gould, R. E. Zenab, \textit{Restriction semigroups and $\lambda$-Zappa-Sz\'{e}p products}, Periodica Math Hungarica, \textbf{73} (2016), 179-207.
  • Referans7 M. Kunze \textit{Zappa products}, Acta Math Hungarica, \textbf{41} (1983), 225-239.
  • Referans8 T. G. Lavers, \textit{Presentations of general products of monoids}, J. Algebra, \textbf{204} (1998), 733-741.
  • Referans9 M. V. Lawson, \textit{A correspondence between a class of monoids and self-similar group actions I}, Semigroup Forum, \textbf{76} (2008), 489-517.
  • Referans10 M. V. Lawson, A. R. Wallis, \textit{A correspondence between a class of monoids and self-similar group actions II}, Inter J Algeb Comput., \textbf{25} (2015), no. 4, 633-668.
  • Referans11 B. L. Madison, T. K. Mukherjee, M. K. Sen, \textit{Periodic properties of groupbound semigroups}, Semigroup Forum, \textbf{22} (1981), 225-234.
  • Referans12 P. W. Michor, \textit{Knit products of graded Lie algebras and groups}, Suppl Rend Circolo Matematico di Palermo Ser., \textbf{II} (1989), no. 22, 171-175.
  • Referans13 \v{S}. Schwarz, \textit{The theory of characters of finite commutative semigroups}, Czech Math J., \textbf{4} (1954), no. 79, 219-247.
  • Referans14 \v{S}. Schwarz, \textit{The theory of characters of commutative Hasdorff bicompact semigroups}, Czech Math J., \textbf{6} (1956), no. 81, 330-361.
  • Referans15 J. T. Sedlock, \textit{Green's relations on a periodic semigroup}, Czech Math J., \textbf{19} (1969), no. 2, 318-323.
  • Referans16 J. Sz\'{e}p, \textit{On the structure of groups which can be represented as the product of two subgroups}, Acta Sci Math Szeged, \textbf{12} (1950), 57-61.
  • Referans17 N. U. Ozalan, A. S. Cevik, E. G. Karpuz, \textit{A new semigroup obtained via known ones}, Asian-European J Math. \textbf{12} (2019), no. 6, 2040008.
  • Referans18 S. A. Wazzan, \textit{Zappa-Sz\'{e}p products of semigroups}, Appl Math., \textbf{6} (2015), no. 6, 1047-1068.
  • Referans19 S. A. Wazzan, F. Ates, A. S. Cevik, \textit{The new derivation for wreath products of monoids}, Filomat, \textbf{34} (2020), no. 2, 683-689.
  • Referans20 G. Zappa, \textit{Sulla construzione dei gruppi prodotto di due sottogruppi permutabili tra loro}, Atti Secondo Congresso Un Ital Bologna 1940. Edizioni Rome: Cremonense, (1942), 119-125.

New results over Zappa-Szep products via a recent semigroup

Yıl 2024, Erken Görünüm, 1 - 12

Nurten Urlu Özalan

https://doi.org/10.15672/hujms.1085952

Öz

In [17], the authors established a new semigroup N as an extension of both Rees matrix and completely zero-simple semigroups. In this paper, by taking into account the Zappa-Sz\'{e}p product obtained by special subsemigroups of N, we will expose some new distinguishing theoretical results on this product.

Anahtar Kelimeler

Rees matrix semigroup Green relations Completely 0-simple semigroup Zappa szep product

Kaynakça

  • Referans1 F. Ates, A. S. Cevik, \textit{Knit products of finite cyclic groups and their applications}, Rend Seminario Matematico della Univ di Padova \textbf{121} (2009), 1-12.
  • Referans2 M. G. Brin, \textit{On the Zappa-Sz\'{e}p product}, Communications in Algebra, \textbf{33} (2005), 393-424.
  • Referans3 A. S. Cevik, S. A. Wazzan, F. Ates, \textit{A higher version of Zappa products for monoids}, Hacet J Math Stat, \textbf{50} (2021), no. 1, 224-235.
  • Referans4 N. D. Gilbert, S. A. Wazzan, \textit{Zappa-Sz\'{e}p products of bands and groups}, Semigroup Forum, \textbf{77} (2008), Article number: 438.
  • Referans5 V. Gould, M. B. Szendrei, \textit{Proper restriction semigroups-semidirect products and $W$-products}, Acta Math Hungarica, \textbf{141} (2013), 36-57.
  • Referans6 V. Gould, R. E. Zenab, \textit{Restriction semigroups and $\lambda$-Zappa-Sz\'{e}p products}, Periodica Math Hungarica, \textbf{73} (2016), 179-207.
  • Referans7 M. Kunze \textit{Zappa products}, Acta Math Hungarica, \textbf{41} (1983), 225-239.
  • Referans8 T. G. Lavers, \textit{Presentations of general products of monoids}, J. Algebra, \textbf{204} (1998), 733-741.
  • Referans9 M. V. Lawson, \textit{A correspondence between a class of monoids and self-similar group actions I}, Semigroup Forum, \textbf{76} (2008), 489-517.
  • Referans10 M. V. Lawson, A. R. Wallis, \textit{A correspondence between a class of monoids and self-similar group actions II}, Inter J Algeb Comput., \textbf{25} (2015), no. 4, 633-668.
  • Referans11 B. L. Madison, T. K. Mukherjee, M. K. Sen, \textit{Periodic properties of groupbound semigroups}, Semigroup Forum, \textbf{22} (1981), 225-234.
  • Referans12 P. W. Michor, \textit{Knit products of graded Lie algebras and groups}, Suppl Rend Circolo Matematico di Palermo Ser., \textbf{II} (1989), no. 22, 171-175.
  • Referans13 \v{S}. Schwarz, \textit{The theory of characters of finite commutative semigroups}, Czech Math J., \textbf{4} (1954), no. 79, 219-247.
  • Referans14 \v{S}. Schwarz, \textit{The theory of characters of commutative Hasdorff bicompact semigroups}, Czech Math J., \textbf{6} (1956), no. 81, 330-361.
  • Referans15 J. T. Sedlock, \textit{Green's relations on a periodic semigroup}, Czech Math J., \textbf{19} (1969), no. 2, 318-323.
  • Referans16 J. Sz\'{e}p, \textit{On the structure of groups which can be represented as the product of two subgroups}, Acta Sci Math Szeged, \textbf{12} (1950), 57-61.
  • Referans17 N. U. Ozalan, A. S. Cevik, E. G. Karpuz, \textit{A new semigroup obtained via known ones}, Asian-European J Math. \textbf{12} (2019), no. 6, 2040008.
  • Referans18 S. A. Wazzan, \textit{Zappa-Sz\'{e}p products of semigroups}, Appl Math., \textbf{6} (2015), no. 6, 1047-1068.
  • Referans19 S. A. Wazzan, F. Ates, A. S. Cevik, \textit{The new derivation for wreath products of monoids}, Filomat, \textbf{34} (2020), no. 2, 683-689.
  • Referans20 G. Zappa, \textit{Sulla construzione dei gruppi prodotto di due sottogruppi permutabili tra loro}, Atti Secondo Congresso Un Ital Bologna 1940. Edizioni Rome: Cremonense, (1942), 119-125.
Toplam 20 adet kaynakça vardır.

Ayrıntılar

Birincil Dil İngilizce
Konular Matematik
Bölüm Matematik
Yazarlar

Nurten Urlu Özalan 0000-0002-3022-350X

Erken Görünüm Tarihi 10 Ocak 2024
Yayımlanma Tarihi
Yayımlandığı Sayı Yıl 2024 Erken Görünüm

Kaynak Göster

APA Urlu Özalan, N. (2024). New results over Zappa-Szep products via a recent semigroup. Hacettepe Journal of Mathematics and Statistics1-12. https://doi.org/10.15672/hujms.1085952
AMA Urlu Özalan N. New results over Zappa-Szep products via a recent semigroup. Hacettepe Journal of Mathematics and Statistics. Published online 01 Ocak 2024:1-12. doi:10.15672/hujms.1085952
Chicago Urlu Özalan, Nurten. “New Results over Zappa-Szep Products via a Recent Semigroup”. Hacettepe Journal of Mathematics and Statistics, Ocak (Ocak 2024), 1-12. https://doi.org/10.15672/hujms.1085952.
EndNote Urlu Özalan N (01 Ocak 2024) New results over Zappa-Szep products via a recent semigroup. Hacettepe Journal of Mathematics and Statistics 1–12.
IEEE N. Urlu Özalan, “New results over Zappa-Szep products via a recent semigroup”, Hacettepe Journal of Mathematics and Statistics, ss. 1–12, Ocak 2024, doi: 10.15672/hujms.1085952.
ISNAD Urlu Özalan, Nurten. “New Results over Zappa-Szep Products via a Recent Semigroup”. Hacettepe Journal of Mathematics and Statistics. Ocak 2024. 1-12. https://doi.org/10.15672/hujms.1085952.
JAMA Urlu Özalan N. New results over Zappa-Szep products via a recent semigroup. Hacettepe Journal of Mathematics and Statistics. 2024;:1–12.
MLA Urlu Özalan, Nurten. “New Results over Zappa-Szep Products via a Recent Semigroup”. Hacettepe Journal of Mathematics and Statistics, 2024, ss. 1-12, doi:10.15672/hujms.1085952.
Vancouver Urlu Özalan N. New results over Zappa-Szep products via a recent semigroup. Hacettepe Journal of Mathematics and Statistics. 2024:1-12.

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