Strongly Gorenstein-projective modules over rings of Morita contexts

Strongly Gorenstein-projective modules over rings of Morita contexts

Let Δ ( 0 , 0 ) = A A N B B M A B be a Morita ring such that the bimodule homomorphisms are zero. In this paper, we give sufficient conditions for a Δ ( 0 , 0 ) -module ( X ,  Y ,  f ,  g ) to be strongly Gorenstein-projective. Moreover, we describe all strongly Gorenstein-projective modules over th...

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Veröffentlicht in:Beiträge zur Algebra und Geometrie 2024-03, Vol.65 (1), p.43-57
1. Verfasser: Asefa, Dadi
Format: Artikel
Sprache:eng
Schlagworte:
Algebra
Algebraic Geometry
Convex and Discrete Geometry
Geometry
Homomorphisms
Mathematical analysis
Mathematics
Mathematics and Statistics
Matrix algebra
Modules
Original Paper
Rings (mathematics)
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Zusammenfassung:Let Δ ( 0 , 0 ) = A A N B B M A B be a Morita ring such that the bimodule homomorphisms are zero. In this paper, we give sufficient conditions for a Δ ( 0 , 0 ) -module ( X ,  Y ,  f ,  g ) to be strongly Gorenstein-projective. Moreover, we describe all strongly Gorenstein-projective modules over the 2 × 2 matrix algebra M 2 ( A ) over A .
ISSN:0138-4821
2191-0383
DOI:10.1007/s13366-022-00675-7