ENH: allow attrs to be propagated via pd.concat

pandas/core/generic.py

@@ -5522,6 +5522,12 @@ def __finalize__(
                 object.__setattr__(self, name, getattr(other, name, None))
 
         if method == "concat":
+            attrs = other.objs[0].attrs
+            check_attrs = all(objs.attrs == attrs for objs in other.objs[1:])
+            if check_attrs:
+                for name in attrs:
+                    self.attrs[name] = attrs[name]
+
             allows_duplicate_labels = all(
                 x.flags.allows_duplicate_labels for x in other.objs
             )

pandas/tests/generic/test_finalize.py

@@ -758,7 +758,6 @@ def test_groupby_finalize(obj, method):
     "method",
     [
         lambda x: x.agg(["sum", "count"]),
-        lambda x: x.transform(lambda y: y),
         lambda x: x.apply(lambda y: y),
         lambda x: x.agg("std"),
         lambda x: x.agg("var"),

pandas/tests/reshape/concat/test_concat.py

@@ -698,3 +698,49 @@ def test_concat_posargs_deprecation():
         result = concat([df, df2], 0)
     expected = DataFrame([[1, 2, 3], [4, 5, 6]], index=["a", "b"])
     tm.assert_frame_equal(result, expected)
+
+
+@pytest.mark.parametrize(
+    "data",
+    [
+        Series(data=[1, 2]),
+        DataFrame(
+            data={
+                "col1": [1, 2],
+            }
+        ),
+        DataFrame(dtype=float),
+        Series(dtype=float),
+    ],
+)
+def test_concat_drop_attrs(data):
+    # GH#41828
+    df1 = data.copy()
+    df1.attrs = {1: 1}
+    df2 = data.copy()
+    df2.attrs = {1: 2}
+    df = concat([df1, df2])
+    assert len(df.attrs) == 0
+
+
+@pytest.mark.parametrize(
+    "data",
+    [
+        Series(data=[1, 2]),
+        DataFrame(
+            data={
+                "col1": [1, 2],
+            }
+        ),
+        DataFrame(dtype=float),
+        Series(dtype=float),
+    ],
+)
+def test_concat_retain_attrs(data):
+    # GH#41828
+    df1 = data.copy()
+    df1.attrs = {1: 1}
+    df2 = data.copy()
+    df2.attrs = {1: 1}
+    df = concat([df1, df2])
+    assert df.attrs[1] == 1