Linear representations of regular rings and complemented modular lattices with involution
Faithful representations of regular *-rings and modular complemented lattices with involution within orthosymmetric sesquilinear spaces are studied within the framework of Universal Algebra. In particular, the correspondence between classes of spaces and classes of representable structures is analyz...
Elmentve itt :
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| Dokumentumtípus: | Cikk |
| Megjelent: |
Bolyai Institute, University of Szeged
Szeged
2016
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| Sorozat: | Acta scientiarum mathematicarum
82 No. 3-4 |
| Kulcsszavak: | Moduláris rács, Variáns, Matematika |
| Tárgyszavak: | |
| doi: | 10.14232/actasm-015-283-5 |
| Online Access: | http://acta.bibl.u-szeged.hu/46318 |
| Tartalmi kivonat: | Faithful representations of regular *-rings and modular complemented lattices with involution within orthosymmetric sesquilinear spaces are studied within the framework of Universal Algebra. In particular, the correspondence between classes of spaces and classes of representable structures is analyzed; for a class <S of spaces which is closed under ultraproducts and nondegenerate finite-dimensional subspaces, the class of representable structures is shown to be closed under complemented [regular] subalgebras, homomorphic images, and ultraproducts. Moreover, this class is generated by its members which are isomorphic to subspace lattices with involution [endomorphism ¿-rings, respectively] of finite-dimensional spaces from <S. Under natural restrictions, this result is refined to a 1-1-correspondence between the two types of classes. |
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| Terjedelem/Fizikai jellemzők: | 395-442 |
| ISBN: | 0001-6969 |