Informace o publikaci
TWO-FOLD HOMOTOPY OF 2-CROSSED MODULE MAPS OF COMMUTATIVE ALGEBRAS
| Autoři | |
|---|---|
| Rok publikování | 2019 |
| Druh | Článek v odborném periodiku |
| Časopis / Zdroj | Communications in Algebra |
| Fakulta / Pracoviště MU | |
| Citace | |
| www | http://dx.doi.org/10.1080/00927872.2018.1476523 |
| Doi | http://dx.doi.org/10.1080/00927872.2018.1476523 |
| Klíčová slova | 2-crossed module of commutative algebras; crossed module of commutative algebras; quadratic derivation; simplicial commutative algebra |
| Popis | We address the homotopy theory of 2-crossed modules of commutative algebras. In particular, we define the concept of a two-fold homotopy between a pair of one-fold homotopies connecting 2-crossed module maps . We also prove that if the domain 2-crossed module is free up to order one (i.e., if the bottom algebra is a polynomial algebra) then we have a 2-groupoid of 2-crossed module maps and their homotopies and two-fold homotopies. |