TY - THES UR - http://lib.ugent.be/catalog/pug01:8523919 ID - pug01:8523919 LA - eng TI - Local Moufang sets PY - 2017 PB - Ghent AU - Rijcken, Erik UGent 000080348635 802001237289 AU - De Medts, Tom promotor WE01 801001465464 0000-0002-9504-5353 AB - All known Moufang sets arise, in some way or another, from an algebraic structure which can be called `division' in some way. In this PhD dissertation, I made an attempt to develop a theory of local Moufang sets, which generalize Moufang sets in a way to allow constructing using the corresponding local algebraic structures. In the first of the two major parts of the dissertation, I develop the theory of local Moufang sets, while in the second part, some examples are constructed. The most general example constructed arises from a local Jordan pair (which corresponds to a local Jordan algebra), and one of the main theorems characterizes these local Moufang sets. AB - All known Moufang sets arise, in some way or another, from an algebraic structure which can be called `division' in some way. In this PhD dissertation, I made an attempt to develop a theory of local Moufang sets, which generalize Moufang sets in a way to allow constructing using the corresponding local algebraic structures. In the first of the two major parts of the dissertation, I develop the theory of local Moufang sets, while in the second part, some examples are constructed. The most general example constructed arises from a local Jordan pair (which corresponds to a local Jordan algebra), and one of the main theorems characterizes these local Moufang sets. ER -Download RIS file
00000nam^a2200301^i^4500 | |||
001 | 8523919 | ||
005 | 20181113145525.0 | ||
008 | 170615s2017------------------------eng-- | ||
024 | a 1854/LU-8523919 2 handle | ||
040 | a UGent | ||
245 | a Local Moufang sets | ||
260 | a Ghent, Belgium b Ghent University. Faculty of Sciences c 2017 | ||
518 | a Public defense: 2017-06-14 16:30 | ||
520 | a All known Moufang sets arise, in some way or another, from an algebraic structure which can be called `division' in some way. In this PhD dissertation, I made an attempt to develop a theory of local Moufang sets, which generalize Moufang sets in a way to allow constructing using the corresponding local algebraic structures. In the first of the two major parts of the dissertation, I develop the theory of local Moufang sets, while in the second part, some examples are constructed. The most general example constructed arises from a local Jordan pair (which corresponds to a local Jordan algebra), and one of the main theorems characterizes these local Moufang sets. | ||
598 | a D1 | ||
100 | a Rijcken, Erik u UGent 0 000080348635 0 802001237289 0 976811084564 9 12464676-F0EE-11E1-A9DE-61C894A0A6B4 | ||
700 | a De Medts, Tom e promotor u WE01 0 801001465464 0 0000-0002-9504-5353 9 F6078646-F0ED-11E1-A9DE-61C894A0A6B4 | ||
Z30 | x WE 1 WE01 | ||
650 | a Mathematics and Statistics | ||
653 | a Moufang set | ||
653 | a local ring | ||
653 | a Jordan algebra | ||
653 | a Jordan pair | ||
856 | 3 Full Text u https://biblio.ugent.be/publication/8523919/file/8523920 z [ugent] y ErikRijcken_thesis_final.pdf | ||
920 | a phd | ||
Z30 | x WE 1 WE01 | ||
922 | a UGENT-WE |
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