BUG: Series.duplicated doesn't preserve Series name

[MarcoGorelli]

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Reproducible Example

In [1]: import modin.pandas as pd

In [2]: pd.Series([1,2,3], name='a').duplicated()
Out[2]: 
0    False
1    False
2    False
dtype: bool

In [3]: pd.Series([1,2,3], name='a').duplicated().name

Issue Description

The name is not preserved

I noticed this in Narwhals

Expected Behavior

pandas preserves the name:

In [1]: import pandas as pd

In [2]: pd.Series([1,2,3], name='a').duplicated().name
Out[2]: 'a'

Error Logs

Replace this line with the error backtrace (if applicable).

Installed Versions

INSTALLED VERSIONS

commit : c8bbca8
python : 3.11.9.final.0
python-bits : 64
OS : Linux
OS-release : 5.15.153.1-microsoft-standard-WSL2
Version : #1 SMP Fri Mar 29 23:14:13 UTC 2024
machine : x86_64
processor : x86_64
byteorder : little
LC_ALL : None
LANG : C.UTF-8
LOCALE : en_US.UTF-8

Modin dependencies

modin : 0.31.0
ray : None
dask : 2024.8.1
distributed : 2024.8.1

pandas dependencies

pandas : 2.2.2
numpy : 2.1.0
pytz : 2024.1
dateutil : 2.9.0.post0
setuptools : None
pip : None
Cython : None
pytest : 8.3.2
hypothesis : 6.111.2
sphinx : None
blosc : None
feather : None
xlsxwriter : None
lxml.etree : None
html5lib : None
pymysql : None
psycopg2 : None
jinja2 : 3.1.4
IPython : 8.26.0
pandas_datareader : None
adbc-driver-postgresql: None
adbc-driver-sqlite : None
bs4 : None
bottleneck : None
dataframe-api-compat : None
fastparquet : None
fsspec : 2024.6.1
gcsfs : None
matplotlib : None
numba : None
numexpr : None
odfpy : None
openpyxl : None
pandas_gbq : None
pyarrow : 17.0.0
pyreadstat : None
python-calamine : None
pyxlsb : None
s3fs : None
scipy : 1.14.1
sqlalchemy : None
tables : None
tabulate : None
xarray : None
xlrd : None
zstandard : None
tzdata : 2024.1
qtpy : None
pyqt5 : None