Araştırma Makalesi
BibTex RIS Kaynak Göster
Yıl 2023, Cilt: 34 Sayı: 34, 21 - 30, 10.07.2023
https://doi.org/10.24330/ieja.1260475

Öz

Kaynakça

  • R. Baer, Zur einfuhrung des scharbegriffs, J. Reine Angew. Math., 160 (1929),199-207.
  • M. Barr and C. Wells, Toposes, triples and theories, Corrected reprint of the 1985 original Repr. Theory Appl. Categ., 12 (2005), 1-288.
  • G. M. Bergman, An Invitation to General Algebra and Universal Constructions, Springer, Cham, Second Edition, 2015, available online, https://math.berkeley.edu/ gbergman/245/3.2.pdf.
  • T. Brzezinski, Trusses: paragons, ideals and modules, J. Pure Appl. Algebra, 224(6) (2020), 106258 (39 pp).
  • T. Brzezinski and B. Rybolowicz, Modules over trusses vs modules over rings: direct sums and free modules, Algebr. Represent. Theory, 25(1) (2022), 1-23.
  • D. S. Dummit and R. M. Foote, Abstract Algebra, Prentice Hall, 1991.
  • W. Dyck, Gruppentheoretische studien, Math. Ann., 20(1) (1882), 1-44.
  • S. Mac Lane, Categories for the Working Mathematician, Springer, New York, Second Edition, 1998.
  • H. Prufer, Theorie der abelschen gruppen, Math. Z., 20(1) (1924), 165-187.

A note on a free group. The decomposition of a free group functor through the category of heaps

Yıl 2023, Cilt: 34 Sayı: 34, 21 - 30, 10.07.2023
https://doi.org/10.24330/ieja.1260475

Öz

This note aims to introduce a left adjoint functor to the functor
which assigns a heap to a group. The adjunction is monadic. It is
explained how one can decompose a free group functor through the
previously introduced adjoint and employ it to describe a slightly
different construction of free groups.

Kaynakça

  • R. Baer, Zur einfuhrung des scharbegriffs, J. Reine Angew. Math., 160 (1929),199-207.
  • M. Barr and C. Wells, Toposes, triples and theories, Corrected reprint of the 1985 original Repr. Theory Appl. Categ., 12 (2005), 1-288.
  • G. M. Bergman, An Invitation to General Algebra and Universal Constructions, Springer, Cham, Second Edition, 2015, available online, https://math.berkeley.edu/ gbergman/245/3.2.pdf.
  • T. Brzezinski, Trusses: paragons, ideals and modules, J. Pure Appl. Algebra, 224(6) (2020), 106258 (39 pp).
  • T. Brzezinski and B. Rybolowicz, Modules over trusses vs modules over rings: direct sums and free modules, Algebr. Represent. Theory, 25(1) (2022), 1-23.
  • D. S. Dummit and R. M. Foote, Abstract Algebra, Prentice Hall, 1991.
  • W. Dyck, Gruppentheoretische studien, Math. Ann., 20(1) (1882), 1-44.
  • S. Mac Lane, Categories for the Working Mathematician, Springer, New York, Second Edition, 1998.
  • H. Prufer, Theorie der abelschen gruppen, Math. Z., 20(1) (1924), 165-187.
Toplam 9 adet kaynakça vardır.

Ayrıntılar

Birincil Dil İngilizce
Konular Matematik
Bölüm Makaleler
Yazarlar

Bernard Rybolowıcz Bu kişi benim

Erken Görünüm Tarihi 11 Mayıs 2023
Yayımlanma Tarihi 10 Temmuz 2023
Yayımlandığı Sayı Yıl 2023 Cilt: 34 Sayı: 34

Kaynak Göster

APA Rybolowıcz, B. (2023). A note on a free group. The decomposition of a free group functor through the category of heaps. International Electronic Journal of Algebra, 34(34), 21-30. https://doi.org/10.24330/ieja.1260475
AMA Rybolowıcz B. A note on a free group. The decomposition of a free group functor through the category of heaps. IEJA. Temmuz 2023;34(34):21-30. doi:10.24330/ieja.1260475
Chicago Rybolowıcz, Bernard. “A Note on a Free Group. The Decomposition of a Free Group Functor through the Category of Heaps”. International Electronic Journal of Algebra 34, sy. 34 (Temmuz 2023): 21-30. https://doi.org/10.24330/ieja.1260475.
EndNote Rybolowıcz B (01 Temmuz 2023) A note on a free group. The decomposition of a free group functor through the category of heaps. International Electronic Journal of Algebra 34 34 21–30.
IEEE B. Rybolowıcz, “A note on a free group. The decomposition of a free group functor through the category of heaps”, IEJA, c. 34, sy. 34, ss. 21–30, 2023, doi: 10.24330/ieja.1260475.
ISNAD Rybolowıcz, Bernard. “A Note on a Free Group. The Decomposition of a Free Group Functor through the Category of Heaps”. International Electronic Journal of Algebra 34/34 (Temmuz 2023), 21-30. https://doi.org/10.24330/ieja.1260475.
JAMA Rybolowıcz B. A note on a free group. The decomposition of a free group functor through the category of heaps. IEJA. 2023;34:21–30.
MLA Rybolowıcz, Bernard. “A Note on a Free Group. The Decomposition of a Free Group Functor through the Category of Heaps”. International Electronic Journal of Algebra, c. 34, sy. 34, 2023, ss. 21-30, doi:10.24330/ieja.1260475.
Vancouver Rybolowıcz B. A note on a free group. The decomposition of a free group functor through the category of heaps. IEJA. 2023;34(34):21-30.

Cited By

Heaps of modules and affine spaces
Annali di Matematica Pura ed Applicata (1923 -)
https://doi.org/10.1007/s10231-023-01369-0