A note on Gorenstein transposes
2016 ◽
Vol 15
(10)
◽
pp. 1650180
◽
Keyword(s):
Let [Formula: see text] be a left and right Noetherian ring. In this paper, we prove that any Gorenstein transpose of a finitely generated [Formula: see text]-module is exactly an Auslander transpose. As applications, we obtain a new relation between a Gorenstein transpose of a module with a transpose of the same module, and show that the Gorenstein transpose of a module is unique up to Gorenstein projective equivalence. In addition, when [Formula: see text] is an Artin algebra, the corresponding Auslander–Reiten sequences are constructed in terms of Gorenstein transposes.
1979 ◽
Vol 20
(2)
◽
pp. 125-128
◽
Keyword(s):
2018 ◽
Vol 55
(3)
◽
pp. 345-352
2011 ◽
Vol 10
(03)
◽
pp. 475-489
◽
Keyword(s):
Keyword(s):
1980 ◽
Vol 32
(1)
◽
pp. 210-218
◽
2019 ◽
Vol 18
(06)
◽
pp. 1950113
◽
Keyword(s):
Keyword(s):
1992 ◽
Vol 35
(2)
◽
pp. 255-269
◽
Keyword(s):
1991 ◽
Vol 34
(1)
◽
pp. 155-160
◽