diff --git a/py-polars/polars/expr/expr.py b/py-polars/polars/expr/expr.py
index 663de5019ede..f42cf5fff2ef 100644
--- a/py-polars/polars/expr/expr.py
+++ b/py-polars/polars/expr/expr.py
@@ -195,7 +195,10 @@ def __ne__(self, other: Any) -> Self:  # type: ignore[override]
         return self._from_pyexpr(self._pyexpr.neq(self._to_expr(other)._pyexpr))
 
     def __neg__(self) -> Expr:
-        return F.lit(0) - self
+        neg_expr = F.lit(0) - self
+        if (name := self.meta.output_name(raise_if_undetermined=False)) is not None:
+            neg_expr = neg_expr.alias(name)
+        return neg_expr
 
     def __or__(self, other: Expr | int | bool) -> Self:
         return self._from_pyexpr(self._pyexpr._or(self._to_pyexpr(other)))
@@ -204,7 +207,10 @@ def __ror__(self, other: Any) -> Self:
         return self._from_pyexpr(self._to_pyexpr(other)._or(self._pyexpr))
 
     def __pos__(self) -> Expr:
-        return F.lit(0) + self
+        pos_expr = F.lit(0) + self
+        if (name := self.meta.output_name(raise_if_undetermined=False)) is not None:
+            pos_expr = pos_expr.alias(name)
+        return pos_expr
 
     def __pow__(self, power: int | float | Series | Expr) -> Self:
         return self.pow(power)
diff --git a/py-polars/polars/expr/meta.py b/py-polars/polars/expr/meta.py
index 59285c3f78c5..7bb334c6c81d 100644
--- a/py-polars/polars/expr/meta.py
+++ b/py-polars/polars/expr/meta.py
@@ -4,6 +4,7 @@
 from pathlib import Path
 from typing import TYPE_CHECKING, Literal, overload
 
+from polars.exceptions import ComputeError
 from polars.utils._wrap import wrap_expr
 from polars.utils.deprecation import deprecate_nonkeyword_arguments
 from polars.utils.various import normalize_filepath
@@ -88,12 +89,21 @@ def is_regex_projection(self) -> bool:
         """
         return self._pyexpr.meta_is_regex_projection()
 
-    def output_name(self) -> str:
+    @overload
+    def output_name(self, *, raise_if_undetermined: Literal[True] = True) -> str:
+        ...
+
+    @overload
+    def output_name(self, *, raise_if_undetermined: Literal[False]) -> str | None:
+        ...
+
+    def output_name(self, *, raise_if_undetermined: bool = True) -> str | None:
         """
         Get the column name that this expression would produce.
 
-        It may not always be possible to determine the output name, as that can depend
-        on the schema of the context; in that case this will raise ``ComputeError``.
+        It may not always be possible to determine the output name as that can depend
+        on the schema of the context; in that case this will raise ``ComputeError`` if
+        ``raise_if_undetermined`` is True (the default), or ``None`` otherwise.
 
         Examples
         --------
@@ -109,12 +119,16 @@ def output_name(self) -> str:
         >>> e_sum_slice = pl.sum("foo").slice(pl.count() - 10, pl.col("bar"))
         >>> e_sum_slice.meta.output_name()
         'foo'
-        >>> e_count = pl.count()
-        >>> e_count.meta.output_name()
+        >>> pl.count().meta.output_name()
         'count'
 
         """
-        return self._pyexpr.meta_output_name()
+        try:
+            return self._pyexpr.meta_output_name()
+        except ComputeError:
+            if not raise_if_undetermined:
+                return None
+            raise
 
     def pop(self) -> list[Expr]:
         """
diff --git a/py-polars/tests/unit/namespaces/test_meta.py b/py-polars/tests/unit/namespaces/test_meta.py
index 850a867ab6ed..c3c109e0d21a 100644
--- a/py-polars/tests/unit/namespaces/test_meta.py
+++ b/py-polars/tests/unit/namespaces/test_meta.py
@@ -43,6 +43,8 @@ def test_root_and_output_names() -> None:
     ):
         pl.all().suffix("_").meta.output_name()
 
+    assert pl.all().suffix("_").meta.output_name(raise_if_undetermined=False) is None
+
 
 def test_undo_aliases() -> None:
     e = pl.col("foo").alias("bar")
diff --git a/py-polars/tests/unit/test_exprs.py b/py-polars/tests/unit/test_exprs.py
index 8f10655a20a1..e730f3678e63 100644
--- a/py-polars/tests/unit/test_exprs.py
+++ b/py-polars/tests/unit/test_exprs.py
@@ -265,6 +265,22 @@ def test_null_count_expr() -> None:
     assert df.select([pl.all().null_count()]).to_dict(False) == {"key": [0], "val": [1]}
 
 
+def test_pos_neg() -> None:
+    df = pl.DataFrame(
+        {
+            "x": [3, 2, 1],
+            "y": [6, 7, 8],
+        }
+    ).with_columns(-pl.col("x"), +pl.col("y"), -pl.lit(1))
+
+    # #11149: ensure that we preserve the output name (where available)
+    assert df.to_dict(False) == {
+        "x": [-3, -2, -1],
+        "y": [6, 7, 8],
+        "literal": [-1, -1, -1],
+    }
+
+
 def test_power_by_expression() -> None:
     out = pl.DataFrame(
         {"a": [1, None, None, 4, 5, 6], "b": [1, 2, None, 4, None, 6]}
diff --git a/py-polars/tests/unit/test_schema.py b/py-polars/tests/unit/test_schema.py
index 6c2a361c3268..6abc676027c0 100644
--- a/py-polars/tests/unit/test_schema.py
+++ b/py-polars/tests/unit/test_schema.py
@@ -270,7 +270,8 @@ def test_schema_owned_arithmetic_5669() -> None:
         .with_columns(-pl.col("A").alias("B"))
         .collect()
     )
-    assert df.columns == ["A", "literal"], df.columns
+    assert df.columns == ["A", "B"]
+    assert df.rows() == [(3, -3)]
 
 
 def test_fill_null_f32_with_lit() -> None: