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| Pàgina inicial > Articles > Articles publicats > A representation theorem for certain boolean lattices |
| Data: | 1988 |
| Resum: | Let R be an associative ring with 1 and R-tors the complete brouwerian lattice of all hereditary torsion theories on the category of left R-modules. A well known result asserts that R is a left semiartinian ring iff R-tors is a complete atomic boolean lattice. In this note, we prove that if . 1; is a complete atomic boolean lattice then, there exists a left semiartinian ring R such that £ is lattice-isomorphic to R-tors. |
| Drets: | Tots els drets reservats.  |
| Llengua: | Anglès |
| Document: | Article ; recerca ; Versió publicada |
| Publicat a: | Publicacions matemàtiques, V. 32 n. 1 (1988) p. 111-113, ISSN 2014-4350 |
