diff --git a/mlir/include/mlir/Dialect/SparseTensor/IR/SparseTensorBase.td b/mlir/include/mlir/Dialect/SparseTensor/IR/SparseTensorBase.td
--- a/mlir/include/mlir/Dialect/SparseTensor/IR/SparseTensorBase.td
+++ b/mlir/include/mlir/Dialect/SparseTensor/IR/SparseTensorBase.td
@@ -50,7 +50,7 @@
     relatively straightforward one-to-one mapping from iteration lattices
     to combinations of for-loops, while-loops, and if-statements. Sparse
     tensor outputs that materialize uninitialized are handled with
-    insertions in pure lexicograph index order if all parallel loops
+    insertions in pure lexicographical index order if all parallel loops
     are outermost or using a 1-dimensional access pattern expansion
     (a.k.a. workspace) where feasible [Gustavson72,Bik96,Kjolstad19].
 
diff --git a/mlir/include/mlir/Dialect/SparseTensor/IR/SparseTensorOps.td b/mlir/include/mlir/Dialect/SparseTensor/IR/SparseTensorOps.td
--- a/mlir/include/mlir/Dialect/SparseTensor/IR/SparseTensorOps.td
+++ b/mlir/include/mlir/Dialect/SparseTensor/IR/SparseTensorOps.td
@@ -197,12 +197,12 @@
     Arguments<(ins AnyTensor:$tensor,
                StridedMemRefRankOf<[Index], [1]>:$indices,
                AnyType:$value)> {
-  string summary = "Inserts a value into given sparse tensor in lexicograph index order";
+  string summary = "Inserts a value into given sparse tensor in lexicographical index order";
   string description = [{
     Inserts the given value at given indices into the underlying sparse
     storage format of the given tensor with the given indices. This
     operation can only be applied when a tensor materializes unintialized
-    with an `init` operation, the insertions occur in strict lexicographic
+    with an `init` operation, the insertions occur in strict lexicographical
     index order, and the final tensor is constructed with a `tensor`
     operation that has the `hasInserts` attribute set.
 
diff --git a/mlir/lib/ExecutionEngine/SparseTensorUtils.cpp b/mlir/lib/ExecutionEngine/SparseTensorUtils.cpp
--- a/mlir/lib/ExecutionEngine/SparseTensorUtils.cpp
+++ b/mlir/lib/ExecutionEngine/SparseTensorUtils.cpp
@@ -297,7 +297,7 @@
   }
   void getValues(std::vector<V> **out) override { *out = &values; }
 
-  /// Partially specialize lexicographic insertions based on template types.
+  /// Partially specialize lexicographical insertions based on template types.
   void lexInsert(uint64_t *cursor, V val) override {
     // First, wrap up pending insertion path.
     uint64_t diff = 0;
@@ -972,7 +972,8 @@
 IMPL_GETNEXT(getNextI16, int16_t)
 IMPL_GETNEXT(getNextI8, int8_t)
 
-/// Helper to insert elements in lexicograph index order, one per value type.
+/// Helper to insert elements in lexicographical index order, one per value
+/// type.
 IMPL_LEXINSERT(lexInsertF64, double)
 IMPL_LEXINSERT(lexInsertF32, float)
 IMPL_LEXINSERT(lexInsertI64, int64_t)