The Nine Lemma and the push forward construction for special Schreier extensions of monoids with operations

被引：4

作者：

Martins-Ferreira, Nelson ^{[1
]}

Montoli, Andrea ^{[2
]}

Sobral, Manuela ^{[3
,4
]}

机构：

[1] Inst Politecn Leiria, CDRSP, ESTG, Leiria, Portugal

[2] Univ Milan, Dipartimento Matemat Federigo Enriques, Via Saldini 50, I-20133 Milan, Italy

[3] Univ Coimbra, CMUC, P-3001501 Coimbra, Portugal

[4] Univ Coimbra, Dept Matemat, P-3001501 Coimbra, Portugal

来源：

SEMIGROUP FORUM | 2018年 / 97卷 / 02期

关键词：

Monoids with operations; Special Schreier extension; Nine Lemma; Push forward; Baer sum; CROSSED-MODULES; CATEGORIES;

D O I：

10.1007/s00233-018-9962-1

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

We show that the Nine Lemma holds for special Schreier extensions of monoids with operations. This fact is used to obtain a push forward construction for special Schreier extensions with abelian kernel. This construction permits to give a functorial description of the Baer sum of such extensions.

引用

页码：325 / 352

页数：28

共 3 条

[1] The Nine Lemma and the push forward construction for special Schreier extensions of monoids with operations
Nelson Martins-Ferreira
Andrea Montoli
Manuela Sobral
Semigroup Forum, 2018, 97 : 325 - 352
[2] Baer sums of special Schreier extensions of monoids
Martins-Ferreira, Nelson
Montoli, Andrea
Sobral, Manuela
SEMIGROUP FORUM, 2016, 93 (02) : 403 - 415
[3] Baer sums of special Schreier extensions of monoids
Nelson Martins-Ferreira
Andrea Montoli
Manuela Sobral
Semigroup Forum, 2016, 93 : 403 - 415

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