The universal property of commutative algebras' internal crossed modules

Elis Soylu Yılmaz

Makale detayları

The universal property of commutative algebras' internal crossed modules

Yazarlar:

Elis Soylu Yılmaz

Yayıncı:

Tokat Gaziosmanpasa University

Ana Başlıklar:

Mathematical Sciences

Dergi:

Journal of New Results in Science Vol.12 Issue 2, pp.77-85

Belge Tipi:

Makale

Yayın Tarihi:

8/2023

Belge Dili:

İngilizce

Document ID (Org No.):

2001297812

pISSN:

1304-7981

Anahtar kelimeler:

Özet:

 In this work, we identify subobjects and ideals in the category of internal crossed modules, which provide a deeper understanding of the structure of these objects. Moreover, we provide several propositions through examples, which illustrate the properties and relationships between ideals and subobjects in the category of internal crossed modules. The examples and propositions provided in this work can serve as a foundation for further research in this area and may lead to new insights and discoveries in the study of these complex algebraic structures. Overall, in conclusion, we give a brief overview of the contributions and future research directions of the work presented, highlighting the significance of internal crossed modules in algebraic topology and category theory as well as making suggestions for possible areas of additional research and application.

 In this work, we identify subobjects and ideals in the category of internal crossed modules, which provide a deeper understanding of the structure of these objects. Moreover, we provide several propositions through examples, which illustrate the properties and relationships between ideals and subobjects in the category of internal crossed modules. The examples and propositions provided in this work can serve as a foundation for further research in this area and may lead to new insights and discoveries in the study of these complex algebraic structures. Overall, in conclusion, we give a brief overview of the contributions and future research directions of the work presented, highlighting the significance of internal crossed modules in algebraic topology and category theory as well as making suggestions for possible areas of additional research and application.

 In this work, we identify subobjects and ideals in the category of internal crossed modules, which provide a deeper understanding of the structure of these objects. Moreover, we provide several propositions through examples, which illustrate the properties and relationships between ideals and subobjects in the category of internal crossed modules. The examples and propositions provided in this work can serve as a foundation for further research in this area and may lead to new insights and discoveries in the study of these complex algebraic structures. Overall, in conclusion, we give a brief overview of the contributions and future research directions of the work presented, highlighting the significance of internal crossed modules in algebraic topology and category theory as well as making suggestions for possible areas of additional research and application.

 In this work, we identify subobjects and ideals in the category of internal crossed modules, which provide a deeper understanding of the structure of these objects. Moreover, we provide several propositions through examples, which illustrate the properties and relationships between ideals and subobjects in the category of internal crossed modules. The examples and propositions provided in this work can serve as a foundation for further research in this area and may lead to new insights and discoveries in the study of these complex algebraic structures. Overall, in conclusion, we give a brief overview of the contributions and future research directions of the work presented, highlighting the significance of internal crossed modules in algebraic topology and category theory as well as making suggestions for possible areas of additional research and application.

Makale detayları

The universal property of commutative algebras' internal crossed modules

Yazarlar:

Elis Soylu Yılmaz

Yayıncı:

Tokat Gaziosmanpasa University

Ana Başlıklar:

Mathematical Sciences

Dergi:

Journal of New Results in Science Vol.12 Issue 2, pp.77-85

Belge Tipi:

Makale

Yayın Tarihi:

8/2023

Belge Dili:

İngilizce

Document ID (Org No.):

2001297812

pISSN:

1304-7981

Universal property

Internal crossed module

Ideal

Category

Sayı

Makale detayları

The universal property of commutative algebras' internal crossed modules

Yazarlar: Elis Soylu Yılmaz

Yayıncı: Tokat Gaziosmanpasa University

Ana Başlıklar: Mathematical Sciences

Dergi: Journal of New Results in Science Vol.12 Issue 2, pp.77-85

Belge Tipi: Makale

Yayın Tarihi: 8/2023

Belge Dili: İngilizce

Document ID (Org No.): 2001297812

pISSN: 1304-7981

Universal property

Internal crossed module

Ideal

Category

Sayı

Yazarlar:

Elis Soylu Yılmaz

Yayıncı:

Tokat Gaziosmanpasa University

Ana Başlıklar:

Mathematical Sciences

Dergi:

Journal of New Results in Science Vol.12 Issue 2, pp.77-85

Belge Tipi:

Makale

Yayın Tarihi:

8/2023

Belge Dili:

İngilizce

Document ID (Org No.):

2001297812

pISSN:

1304-7981