diff --git a/.github/workflows/ci.yml b/.github/workflows/ci.yml
index c25779f..4d75210 100644
--- a/.github/workflows/ci.yml
+++ b/.github/workflows/ci.yml
@@ -88,11 +88,15 @@ jobs:
           python-version: "3.11"
           activate-environment: true
 
-      - name: get major numpy version
-        id: numpy-major
+      - name: get major.minor numpy version
+        id: numpy-version
         run: |
-          version=$(echo ${{ matrix.numpy-version }} | cut -c 1)
-          echo "::set-output name=version::$version"
+          version="${{ matrix.numpy-version }}"
+          major=$(echo "$version" | cut -d. -f1)
+          minor=$(echo "$version" | cut -d. -f2)
+
+          echo "major=$major" >> $GITHUB_OUTPUT
+          echo "minor=$minor" >> $GITHUB_OUTPUT
 
       - name: install deps
         run: |
@@ -101,10 +105,29 @@ jobs:
 
       # NOTE: `uv run --with=...` will be ignored by mypy (and `--isolated` does not help)
       - name: mypy
-        run: >
-          uv run --no-sync --active
-          mypy --tb --no-incremental --cache-dir=/dev/null
-          tests/integration/test_numpy${{ steps.numpy-major.outputs.version }}.pyi
+        run: |
+          major="${{ steps.numpy-version.outputs.major }}"
+          minor="${{ steps.numpy-version.outputs.minor }}"
+
+          # Directory containing versioned test files
+          prefix="tests/integration"
+          files=""
+
+          # Find all test files matching the current major version
+          for path in $(find "$prefix" -name "test_numpy${major}p*.pyi"); do
+            # Extract file name
+            fname=$(basename "$path")
+            # Parse the minor version from the filename
+            fminor=$(echo "$fname" | sed -E "s/test_numpy${major}p([0-9]+)\.pyi/\1/")
+            # Include files where minor version ≤ NumPy's minor
+            if [ "$fminor" -le "$minor" ]; then
+              files="$files $path"
+            fi
+          done
+
+          uv run --no-sync --active \
+            mypy --tb --no-incremental --cache-dir=/dev/null \
+            $files
 
       # TODO: (based)pyright
 
diff --git a/pyproject.toml b/pyproject.toml
index 02118fe..2f9f0bf 100644
--- a/pyproject.toml
+++ b/pyproject.toml
@@ -121,11 +121,16 @@ ignore = [
   "D107", # Missing docstring in __init__
   "D203", # 1 blank line required before class docstring
   "D213", # Multi-line docstring summary should start at the second line
+  "D401", # First line should be in imperative mood
   "FBT", # flake8-boolean-trap
   "FIX", # flake8-fixme
   "ISC001", # Conflicts with formatter
+  "PYI041", # Use `float` instead of `int | float`
 ]
 
+[tool.ruff.lint.pydocstyle]
+convention = "google"
+
 [tool.ruff.lint.pylint]
 allow-dunder-method-names = [
   "__array_api_version__",
diff --git a/src/array_api_typing/__init__.py b/src/array_api_typing/__init__.py
index 3532743..aea21af 100644
--- a/src/array_api_typing/__init__.py
+++ b/src/array_api_typing/__init__.py
@@ -1,10 +1,12 @@
 """Static typing support for the array API standard."""
 
 __all__ = (
+    "Array",
     "HasArrayNamespace",
+    "HasDType",
     "__version__",
     "__version_tuple__",
 )
 
-from ._namespace import HasArrayNamespace
+from ._array import Array, HasArrayNamespace, HasDType
 from ._version import version as __version__, version_tuple as __version_tuple__
diff --git a/src/array_api_typing/_array.py b/src/array_api_typing/_array.py
new file mode 100644
index 0000000..f4614f2
--- /dev/null
+++ b/src/array_api_typing/_array.py
@@ -0,0 +1,94 @@
+__all__ = (
+    "Array",
+    "HasArrayNamespace",
+)
+
+from types import ModuleType
+from typing import Literal, Protocol
+from typing_extensions import TypeVar
+
+NamespaceT_co = TypeVar("NamespaceT_co", covariant=True, default=ModuleType)
+DTypeT_co = TypeVar("DTypeT_co", covariant=True)
+
+
+class HasArrayNamespace(Protocol[NamespaceT_co]):
+    """Protocol for classes that have an `__array_namespace__` method.
+
+    This `Protocol` is intended for use in static typing to ensure that an
+    object has an `__array_namespace__` method that returns a namespace for
+    array operations. This `Protocol` should not be used at runtime for type
+    checking or as a base class.
+
+    Example:
+    >>> import array_api_typing as xpt
+    >>>
+    >>> class MyArray:
+    ...     def __array_namespace__(self):
+    ...         return object()
+    >>>
+    >>> x = MyArray()
+    >>> def has_array_namespace(x: xpt.HasArrayNamespace) -> bool:
+    ...     return hasattr(x, "__array_namespace__")
+    >>> has_array_namespace(x)
+    True
+
+    """
+
+    def __array_namespace__(
+        self, /, *, api_version: Literal["2021.12"] | None = None
+    ) -> NamespaceT_co:
+        """Returns an object that has all the array API functions on it.
+
+        Args:
+            api_version: string representing the version of the array API
+                specification to be returned, in 'YYYY.MM' form, for example,
+                '2020.10'. If it is `None`, it should return the namespace
+                corresponding to latest version of the array API specification.
+                If the given version is invalid or not implemented for the given
+                module, an error should be raised. Default: `None`.
+
+        Returns:
+            NamespaceT_co: An object representing the array API namespace. It
+                should have every top-level function defined in the
+                specification as an attribute. It may contain other public names
+                as well, but it is recommended to only include those names that
+                are part of the specification.
+
+        """
+        ...
+
+
+class HasDType(Protocol[DTypeT_co]):
+    """Protocol for array classes that have a data type attribute."""
+
+    @property
+    def dtype(self, /) -> DTypeT_co:
+        """Data type of the array elements."""
+        ...
+
+
+class Array(
+    HasArrayNamespace[NamespaceT_co],
+    # ------ Attributes -------
+    HasDType[DTypeT_co],
+    # -------------------------
+    Protocol[DTypeT_co, NamespaceT_co],
+):
+    """Array API specification for array object attributes and methods.
+
+    The type is: ``Array[+DTypeT, +NamespaceT = ModuleType] = Array[DTypeT,
+    NamespaceT]`` where:
+
+    - `DTypeT` is the data type of the array elements.
+    - `NamespaceT` is the type of the array namespace. It defaults to
+      `ModuleType`, which is the most common form of array namespace (e.g.,
+      `numpy`, `cupy`, etc.). However, it can be any type, e.g. a
+      `types.SimpleNamespace`, to allow for wrapper libraries to
+      semi-dynamically define their own array namespaces based on the wrapped
+      array type.
+
+    This type is intended for use in static typing to ensure that an object has
+    the attributes and methods defined in the array API specification. It should
+    not be used at runtime for type checking or as a base class.
+
+    """
diff --git a/src/array_api_typing/_namespace.py b/src/array_api_typing/_namespace.py
deleted file mode 100644
index 2074f4e..0000000
--- a/src/array_api_typing/_namespace.py
+++ /dev/null
@@ -1,30 +0,0 @@
-__all__ = ("HasArrayNamespace",)
-
-from types import ModuleType
-from typing import Literal, Protocol
-from typing_extensions import TypeVar
-
-T_co = TypeVar("T_co", covariant=True, default=ModuleType)
-
-
-class HasArrayNamespace(Protocol[T_co]):
-    """Protocol for classes that have an `__array_namespace__` method.
-
-    Example:
-    >>> import array_api_typing as xpt
-    >>>
-    >>> class MyArray:
-    ...     def __array_namespace__(self):
-    ...         return object()
-    >>>
-    >>> x = MyArray()
-    >>> def has_array_namespace(x: xpt.HasArrayNamespace) -> bool:
-    ...     return hasattr(x, "__array_namespace__")
-    >>> has_array_namespace(x)
-    True
-
-    """
-
-    def __array_namespace__(
-        self, /, *, api_version: Literal["2021.12"] | None = None
-    ) -> T_co: ...
diff --git a/tests/integration/test_numpy1.pyi b/tests/integration/test_numpy1.pyi
deleted file mode 100644
index 9367379..0000000
--- a/tests/integration/test_numpy1.pyi
+++ /dev/null
@@ -1,12 +0,0 @@
-from typing import Any
-
-# requires numpy < 2
-import numpy.array_api as np
-
-import array_api_typing as xpt
-
-###
-# Ensure that `np.ndarray` instances are assignable to `xpt.HasArrayNamespace`.
-
-arr = np.eye(2)
-arr_namespace: xpt.HasArrayNamespace[Any] = arr
diff --git a/tests/integration/test_numpy1p0.pyi b/tests/integration/test_numpy1p0.pyi
new file mode 100644
index 0000000..efa859c
--- /dev/null
+++ b/tests/integration/test_numpy1p0.pyi
@@ -0,0 +1,53 @@
+# mypy: disable-error-code="no-redef"
+
+from types import ModuleType
+from typing import Any
+
+import numpy.array_api as np  # type: ignore[import-not-found, unused-ignore]
+from numpy import dtype
+
+import array_api_typing as xpt
+
+# Define NDArrays against which we can test the protocols
+# Note that `np.array_api` doesn't support boolean arrays.
+nparr = np.eye(2)
+nparr_i32 = np.asarray([1], dtype=np.int32)
+nparr_f32 = np.asarray([1.0], dtype=np.float32)
+
+# =========================================================
+# `xpt.HasArrayNamespace`
+
+_: xpt.HasArrayNamespace[ModuleType] = nparr
+_: xpt.HasArrayNamespace[ModuleType] = nparr_i32
+_: xpt.HasArrayNamespace[ModuleType] = nparr_f32
+
+# Check `__array_namespace__` method
+a_ns: xpt.HasArrayNamespace[ModuleType] = nparr
+ns: ModuleType = a_ns.__array_namespace__()
+
+# Incorrect values are caught when using `__array_namespace__` and
+# backpropagated to the type of `a_ns`
+_: xpt.HasArrayNamespace[dict[str, int]] = nparr  # not caught
+
+# =========================================================
+# `xpt.HasDType`
+
+# Note that `np.array_api` uses dtype objects, not dtype classes, so we can't
+# type annotate specific dtypes like `np.float32` or `np.int32`.
+
+_: xpt.HasDType[dtype[Any]] = nparr
+_: xpt.HasDType[dtype[Any]] = nparr_i32
+_: xpt.HasDType[dtype[Any]] = nparr_f32
+
+# =========================================================
+# `xpt.Array`
+
+# Check NamespaceT_co assignment
+a_ns: xpt.Array[Any, ModuleType] = nparr
+
+# Check DTypeT_co assignment
+# Note that `np.array_api` uses dtype objects, not dtype classes, so we can't
+# type annotate specific dtypes like `np.float32` or `np.int32`.
+_: xpt.Array[dtype[Any]] = nparr
+_: xpt.Array[dtype[Any]] = nparr_i32
+_: xpt.Array[dtype[Any]] = nparr_f32
diff --git a/tests/integration/test_numpy2.pyi b/tests/integration/test_numpy2.pyi
deleted file mode 100644
index 64bed8c..0000000
--- a/tests/integration/test_numpy2.pyi
+++ /dev/null
@@ -1,11 +0,0 @@
-from typing import Any
-
-import numpy.typing as npt
-
-import array_api_typing as xpt
-
-###
-# Ensure that `np.ndarray` instances are assignable to `xpt.HasArrayNamespace`.
-
-arr: npt.NDArray[Any]
-arr_namespace: xpt.HasArrayNamespace[Any] = arr
diff --git a/tests/integration/test_numpy2p0.pyi b/tests/integration/test_numpy2p0.pyi
new file mode 100644
index 0000000..4f2ec16
--- /dev/null
+++ b/tests/integration/test_numpy2p0.pyi
@@ -0,0 +1,57 @@
+# mypy: disable-error-code="no-redef"
+
+from types import ModuleType
+from typing import Any, TypeAlias
+
+import numpy as np
+import numpy.typing as npt
+
+import array_api_typing as xpt
+
+# DType aliases
+F32: TypeAlias = np.float32
+I32: TypeAlias = np.int32
+
+# Define NDArrays against which we can test the protocols
+nparr: npt.NDArray[Any]
+nparr_i32: npt.NDArray[I32]
+nparr_f32: npt.NDArray[F32]
+nparr_b: npt.NDArray[np.bool_]
+
+# =========================================================
+# `xpt.HasArrayNamespace`
+
+# Check assignment
+_: xpt.HasArrayNamespace[ModuleType] = nparr
+_: xpt.HasArrayNamespace[ModuleType] = nparr_i32
+_: xpt.HasArrayNamespace[ModuleType] = nparr_f32
+_: xpt.HasArrayNamespace[ModuleType] = nparr_b
+
+# Check `__array_namespace__` method
+a_ns: xpt.HasArrayNamespace[ModuleType] = nparr
+ns: ModuleType = a_ns.__array_namespace__()
+
+# Incorrect values are caught when using `__array_namespace__` and
+# backpropagated to the type of `a_ns`
+_: xpt.HasArrayNamespace[dict[str, int]] = nparr  # not caught
+
+# =========================================================
+# `xpt.HasDType`
+
+# Check DTypeT_co assignment
+_: xpt.HasDType[Any] = nparr
+_: xpt.HasDType[np.dtype[I32]] = nparr_i32
+_: xpt.HasDType[np.dtype[F32]] = nparr_f32
+_: xpt.HasDType[np.dtype[np.bool_]] = nparr_b
+
+# =========================================================
+# `xpt.Array`
+
+# Check NamespaceT_co assignment
+a_ns: xpt.Array[Any, ModuleType] = nparr
+
+# Check DTypeT_co assignment
+_: xpt.Array[Any] = nparr
+_: xpt.Array[np.dtype[I32]] = nparr_i32
+_: xpt.Array[np.dtype[F32]] = nparr_f32
+_: xpt.Array[np.dtype[np.bool_]] = nparr_b
diff --git a/tests/integration/test_numpy2p2.pyi b/tests/integration/test_numpy2p2.pyi
new file mode 100644
index 0000000..e667f6e
--- /dev/null
+++ b/tests/integration/test_numpy2p2.pyi
@@ -0,0 +1,5 @@
+from test_numpy2p0 import nparr
+
+import array_api_typing as xpt
+
+_: xpt.HasArrayNamespace[dict[str, int]] = nparr  # type: ignore[assignment]