PURE PROJECTIVITY AND PURE INJECTIVITY OVER FORMAL TRIANGULAR MATRIX RINGS
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Publication:3144373
DOI10.1142/S0219498812501071zbMath1280.16002WikidataQ123237507 ScholiaQ123237507MaRDI QIDQ3144373
Majid Mazrooei, Mohammad Reza Vedadi, Ahmad Haghany
Publication date: 7 December 2012
Published in: Journal of Algebra and Its Applications (Search for Journal in Brave)
Endomorphism rings; matrix rings (16S50) Injective modules, self-injective associative rings (16D50) Free, projective, and flat modules and ideals in associative algebras (16D40) Chain conditions on other classes of submodules, ideals, subrings, etc.; coherence (associative rings and algebras) (16P70)
Related Items (11)
Retractable and coretractable modules over formal triangular matrix rings ⋮ The relation between Gorenstein derived and pure derived categories ⋮ Pure projective, pure injective and FP-injective modules over trivial ring extensions ⋮ Rings of formal matrices close to regular. ⋮ Ding modules and dimensions over formal triangular matrix rings ⋮ Duality pairs and FP-injective modules over formal triangular matrix rings ⋮ Formal matrices and rings close to regular ⋮ Unnamed Item ⋮ Recollements from Ding injective modules ⋮ Pure projective modules and FP-injective modules over Morita rings ⋮ Gorenstein flat modules and dimensions over formal triangular matrix rings
Cites Work
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- Injective modules over formal matrix rings.
- On the representation theory of rings in matrix form
- A test for finite representation type
- An Artin problem for division ring extensions and the pure semisimplicity conjecture. II
- Injectivity conditions over a formal triangular matrix ring
- Study of modules over formal triangular matrix rings
- Projective and hereditary modules over rings of generalized matrices
- J-COHERENT RINGS
- Study of formal triangular matrix rings
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