Add Singular.jl extension and tests

- Implement Singular-backed methods for HomalgMatrix, syzygies (rows/columns and relative), bases, zero-decision, and left/right division (2- and 3-arg).
- Add singular-ext-test.jl and include in test runner.

Author: kamalsaleh

Project.toml

@@ -1,18 +1,26 @@
 name = "MatricesForHomalg"
 uuid = "29b9b1b6-efa6-450e-8188-a5a2c25df071"
 authors = ["Mohamed Barakat <mohamed.barakat@uni-siegen.de>", "Johanna Knecht <johanna.knecht@student.uni-siegen.de>"]
-version = "0.1.6"
+version = "0.1.7"
 
 [deps]
 Nemo = "2edaba10-b0f1-5616-af89-8c11ac63239a"
 
+[weakdeps]
+Singular = "bcd08a7b-43d2-5ff7-b6d4-c458787f915c"
+
+[extensions]
+MatricesForHomalgSingularExt = "Singular"
+
 [compat]
-Nemo = "0.48.0, 0.49, 0.50, 0.51, 0.52, 0.53"
+Nemo = "0.48.0, 0.49, 0.50, 0.51, 0.52, 0.53, 0.54"
+Singular = "0.22, 0.23, 0.24, 0.25, 0.26, 0.27, 0.28"
 julia = "1.9, 1.10, 1.11"
 
 [extras]
 Documenter = "e30172f5-a6a5-5a46-863b-614d45cd2de4"
+Singular = "bcd08a7b-43d2-5ff7-b6d4-c458787f915c"
 Test = "8dfed614-e22c-5e08-85e1-65c5234f0b40"
 
 [targets]
-test = ["Test", "Documenter"]
+test = ["Test", "Documenter", "Singular"]