On direct sums of Baer modules

By S. Tariq Rizvi, C. Roman. 2009

76 citations recorded by the source corpus.

Subfields: Algebra and Number Theory, Geometry and Topology

View Paper: https://www.semanticscholar.org/paper/7851f7199775098c5c2b1f5f1d09bf7eceafdaca

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In Algebra and Number Theory

1. C. Roman
2. Gangyong Lee
3. S. Tariq Rizvi

In Geometry and Topology

1. C. Roman
2. Gangyong Lee
3. S. Tariq Rizvi

Citations in the corpus

• 𝔏-Rickart Modules (2015, background): “8 in [30] and EndR M n Matn S is a left nonsingular ring from Corollary 3.”
• Dual Rickart Modules (2011, background): “The notion of Baer rings was generalized to a module theoretic version and studied in recent years, by considering a right R -module M as an S - R bimodule, where S  =  End R ( M ) (see [ 25-28 ]).”
• Direct sums of Rickart modules (2012, unknown): “3 of [22] to show that if there exists an ordering I = {1, 2, · · · , n} for a class of R-modules {Mi}i∈I such that Mi is Mj-injective for all i < j ∈ I and if Mi is Mj-Rickart for all i, j ∈ I, then ⊕n i=1Mi is a Rickart module.”
• Dual π-Rickart Modules (2012, background): “According to Rizvi and Roman, a module M is said to be Rickart [13] if for any f ∈ S, rM (f) = eM for some e(2) = e ∈ S.”