scholarly journals Freeness conditions for quasi 3-crossed modules and complexes of using simplicial algebras with CW−bases

2013 ◽  
Vol 7 (1) ◽  
pp. 35
Author(s):  
Ali Mutlu ◽  
Berrin Mutlu
Author(s):  
Guram Donadze ◽  
Manuel Ladra

We study the excision property for Hochschild and cyclic homologies in the category of simplicial algebras. We extend Wodzicki's notion of H-unital algebras to simplicial algebras and then show that a simplicial algebra I* satisfies excision in Hochschild and cyclic homologies if and only if it is H-unital. We use this result in the category of crossed modules of algebras and provide an answer to the question posed in the recent paper by Donadze et al. We also give (based on work by Guccione and Guccione) the excision theorem in Hochschild homology with coefficients.


2020 ◽  
Vol 224 (3) ◽  
pp. 987-1008
Author(s):  
José Manuel Casas ◽  
Xabier García-Martínez

1998 ◽  
Vol 5 (6) ◽  
pp. 575-581 ◽  
Author(s):  
A. Patchkoria

Abstract We introduce the notion of a Schreier internal category in the category of monoids and prove that the category of Schreier internal categories in the category of monoids is equivalent to the category of crossed semimodules. This extends a well-known equivalence of categories between the category of internal categories in the category of groups and the category of crossed modules.


2003 ◽  
Vol 35 (1) ◽  
pp. 59-72 ◽  
Author(s):  
Ronald Brown ◽  
Christopher D. Wensley
Keyword(s):  

2015 ◽  
Vol 277 ◽  
pp. 426-491 ◽  
Author(s):  
Lucio Simone Cirio ◽  
João Faria Martins
Keyword(s):  

2018 ◽  
Vol 42 (16) ◽  
pp. 5293-5304
Author(s):  
Ummahan Ege Arslan ◽  
İbrahim İlker Akça ◽  
Gülümsen Onarlı Irmak ◽  
Osman Avcıoğlu
Keyword(s):  

2016 ◽  
Vol 11 (4) ◽  
pp. 893-921
Author(s):  
Nelson Martins-Ferreira
Keyword(s):  

2004 ◽  
Vol 9 (2) ◽  
pp. 173-182
Author(s):  
Zekeriya Arvasi
Keyword(s):  

2018 ◽  
Vol 14 (3) ◽  
pp. 625-646
Author(s):  
Guram Donadze ◽  
Tim Van der Linden
Keyword(s):  

2005 ◽  
Vol 9 (3) ◽  
pp. 477-488
Author(s):  
Z. Arvasi ◽  
M. Koçak ◽  
E. Ulualan
Keyword(s):  

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