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Ultima descărcare din IBN: 2023-12-04 09:12 |
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512 (929) |
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SM ISO690:2012 ILIC-GEORGIJEVIC, Emil, VUKOVIC, Mirjana. Primary decomposition of general graded structures . In: Buletinul Academiei de Ştiinţe a Republicii Moldova. Matematica, 2015, nr. 1(77), pp. 87-96. ISSN 1024-7696. |
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Buletinul Academiei de Ştiinţe a Republicii Moldova. Matematica | ||||||
Numărul 1(77) / 2015 / ISSN 1024-7696 /ISSNe 2587-4322 | ||||||
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CZU: 512 | ||||||
Pag. 87-96 | ||||||
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Descarcă PDF | ||||||
Rezumat | ||||||
In this paper we discuss the primary decomposition in the case of general
graded modules – moduloids, a generalization of already done work for general graded
rings – anneids. These structures, introduced by Marc Krasner are more general
than graded structures of Bourbaki since they do not require the associativity nor
the commutativity nor the unitarity in the set of grades. After proving the existence
and uniqueness of primary decomposition of moduloids, we breafly turn our attention
to Krull’s Theorem and to the existence of the primary decomposition of Krasner–
Vukovi´c paragraded rings. |
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Cuvinte-cheie Moduloid over an anneid, irreducible submoduloid, quasianneid, primary decomposition. |
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