Ideals of generalized matrix rings

Journal Article · Mon Jan 31 00:00:00 EST 2011 · Sbornik. Mathematics

DOI:https://doi.org/10.1070/SM2011V202N01ABEH004135; COUNTRY OF INPUT: INTERNATIONAL ATOMIC ENERGY AGENCY (IAEA)· OSTI ID:21592567

Budanov, Aleksandr V ^[1]

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1. Tomsk State University, Tomsk (Russian Federation)

Let R and S be rings, and {sub R}M{sub S} and {sub S}N{sub R} bimodules. In the paper, in terms of isomorphisms of lattices, relationships between the lattices of one-sided and two-sided ideals of the generalized matrix ring and the corresponding lattices of ideals of the rings R and S are described. Necessary and sufficient conditions for a pair of ideals I, J of rings R and S, respectively, to be the main diagonal of some ideal of the ring K are also obtained. Bibliography: 8 titles.

• OSTI ID: 21592567
• Journal Information: Sbornik. Mathematics, Vol. 202, Issue 1; Other Information: DOI: 10.1070/SM2011v202n01ABEH004135; Country of input: International Atomic Energy Agency (IAEA); ISSN 1064-5616
• Country of Publication: United States
• Language: English

Related Subjects

97 MATHEMATICAL METHODS AND COMPUTING
ALGEBRA
LATTICE PARAMETERS
MATHEMATICAL LOGIC
MATHEMATICAL MANIFOLDS
MATRICES
MATHEMATICS