2 files changed, 142 insertions, 6 deletions
diff --git a/src/act4e_solutions/semigroups_morphisms.py b/src/act4e_solutions/semigroups_morphisms.py
new file mode 100644
index 0000000..5d832ee
--- /dev/null
+++ b/src/act4e_solutions/semigroups_morphisms.py
@@ -0,0 +1,49 @@
+from typing import Any, TypeVar
+
+from .semigroups_representation import MyFiniteSemigroup, MyFiniteMonoid, MyFiniteGroup
+
+import act4e_interfaces as I
+
+A = TypeVar("A")
+B = TypeVar("B")
+
+
+class SolFiniteSemigroupMorphismsChecks(I.FiniteSemigroupMorphismsChecks):
+    def is_semigroup_morphism(self, a: I.FiniteSemigroup[A], b: I.FiniteSemigroup[B], f: I.FiniteMap[A, B]) -> bool:
+        # Semigroup preserves the structure
+        # f(xy) = f(x) f(y) for all x, y in a
+        # converse:
+        # there is an x or a y in a such that
+        # f(xy) neq f(x) f(y)
+        for x in a.carrier().elements():
+            for y in a.carrier().elements():
+                inside = f(a.compose(x, y))
+                outside = b.compose(f(x), f(y))
+                if not b.carrier().equal(inside, outside):
+                    return False
+        return True
+
+    def is_monoid_morphism(self, a: I.FiniteMonoid[A], b: I.FiniteMonoid[B], f: I.FiniteMap[A, B]) -> bool:
+        # Monoid morphism is a semigroup morphism that maps identity to identity
+        if not self.is_semigroup_morphism(a, b, f):
+            return False
+
+        if not b.carrier().equal(b.identity(), f(a.identity())):
+            return False
+
+        return True
+
+
+    def is_group_morphism(self, a: I.FiniteGroup[A], b: I.FiniteGroup[B], f: I.FiniteMap[A, B]) -> bool:
+        # Group morphism preserve
+        # f(xy) = f(x)f(y) for all x, y in a
+        # converse is
+        # exists x, y in a such that
+        # f(xy) neq f(x)f(y)
+        for x in a.carrier().elements():
+            for y in a.carrier().elements():
+                inside = f(a.compose(x, y))
+                outside = b.compose(f(x), f(y))
+                if not b.carrier().equal(inside, outside):
+                    return False
+        return True
diff --git a/src/act4e_solutions/semigroups_morphisms_representation.py b/src/act4e_solutions/semigroups_morphisms_representation.py
index 43df89f..abc2216 100644
--- a/src/act4e_solutions/semigroups_morphisms_representation.py
+++ b/src/act4e_solutions/semigroups_morphisms_representation.py
@@ -2,26 +2,113 @@ from typing import Any, TypeVar
 
 import act4e_interfaces as I
 
+from .maps_representation import SolFiniteMapRepresentation
+from .semigroups_representation import (MyFiniteSemigroup, MyFiniteMonoid, MyFiniteGroup, 
+                                        SolFiniteSemigroupRepresentation,
+                                        SolFiniteMonoidRepresentation,
+                                        SolFiniteGroupRepresentation)
+
+A = TypeVar("A")
+B = TypeVar("B")
+
+class MyFiniteSemigroupMorphism(I.FiniteSemigroupMorphism[A, B]):
+    _source: I.FiniteSemigroup[A]
+    _target: I.FiniteSemigroup[B]
+    _mapping: I.FiniteMap[A, B]
+
+    def __init__(self, s: I.FiniteSemigroup[A], t: I.FiniteSemigroup[B], f: I.FiniteMap[A, B]):
+        self._source = s
+        self._target = t
+        self._mapping = f
+
+    def source(self) -> I.FiniteSemigroup[A]:
+        return self._source
+
+    def target(self) -> I.FiniteSemigroup[B]:
+        return self._target
+
+    def mapping(self) -> I.FiniteMap[A, B]:
+        return self._mapping
+
+
+class MyFiniteMonoidMorphism(MyFiniteSemigroupMorphism, I.FiniteMonoidMorphism[A, B]):
+    _source: I.FiniteMonoid[A]
+    _target: I.FiniteMonoid[B]
+
+
+class MyFiniteGroupMorphism(MyFiniteMonoidMorphism, I.FiniteGroupMorphism[A, B]):
+    _source: I.FiniteGroup[A]
+    _target: I.FiniteGroup[B]
+
+
 
 class SolFiniteSemigroupMorphismRepresentation(I.FiniteSemigroupMorphismRepresentation):
     def load(self, h: I.IOHelper, s: I.FiniteSemigroupMorphism_desc) -> I.FiniteSemigroupMorphism[Any, Any]:
-        raise NotImplementedError()
+        if not all(k in s.keys() for k in ["source", "target", "mapping"]):
+            raise I.InvalidFormat()
+
+        fsgr = SolFiniteSemigroupRepresentation()
+        fmr = SolFiniteMapRepresentation()
+
+        A = fsgr.load(h, s["source"])
+        B = fsgr.load(h, s["target"])
+        f = fmr.load(h, s["mapping"])
+
+        return MyFiniteSemigroupMorphism(A, B, f)
 
     def save(self, h: I.IOHelper, m: I.FiniteSemigroupMorphism[Any, Any]) -> I.FiniteSemigroupMorphism_desc:
-        raise NotImplementedError()
+        fsgr = SolFiniteSemigroupRepresentation()
+        fmr = SolFiniteMapRepresentation()
+
+        d = {"source": fsgr.save(h, m.source()),
+             "target": fsgr.save(h, m.target()),
+             "mapping": fmr.save(h, m.mapping())}
+        return d
 
 
 class SolFiniteMonoidMorphismRepresentation(I.FiniteMonoidMorphismRepresentation):
     def load(self, h: I.IOHelper, s: I.FiniteMonoidMorphism_desc) -> I.FiniteMonoidMorphism[Any, Any]:
-        raise NotImplementedError()
+        if not all(k in s.keys() for k in ["source", "target", "mapping"]):
+            raise I.InvalidFormat()
+
+        fmor = SolFiniteMonoidRepresentation()
+        fmr = SolFiniteMapRepresentation()
+
+        A = fmor.load(h, s["source"])
+        B = fmor.load(h, s["target"])
+        f = fmr.load(h, s["mapping"])
+
+        return MyFiniteMonoidMorphism(A, B, f)
 
     def save(self, h: I.IOHelper, m: I.FiniteMonoidMorphism[Any, Any]) -> I.FiniteMonoidMorphism_desc:
-        raise NotImplementedError()
+        fmor = SolFiniteMonoidRepresentation()
+        fmr = SolFiniteMapRepresentation()
+
+        d = {"source": fmor.save(h, m.source()),
+             "target": fmor.save(h, m.target()),
+             "mapping": fmr.save(h, m.mapping())}
+        return d
 
 
 class SolFiniteGroupMorphismRepresentation(I.FiniteGroupMorphismRepresentation):
     def load(self, h: I.IOHelper, s: I.FiniteGroupMorphism_desc) -> I.FiniteGroupMorphism[Any, Any]:
-        raise NotImplementedError()
+        if not all(k in s.keys() for k in ["source", "target", "mapping"]):
+            raise I.InvalidFormat()
+
+        fgr = SolFiniteGroupRepresentation()
+        fmr = SolFiniteMapRepresentation()
+
+        A = fgr.load(h, s["source"])
+        B = fgr.load(h, s["target"])
+        f = fmr.load(h, s["mapping"])
+
+        return MyFiniteGroupMorphism(A, B, f)
 
     def save(self, h: I.IOHelper, m: I.FiniteGroupMorphism[Any, Any]) -> I.FiniteGroupMorphism_desc:
-        raise NotImplementedError()
+        fgr = SolFiniteGroupRepresentation()
+        fmr = SolFiniteMapRepresentation()
+
+        d = {"source": fgr.save(h, m.source()),
+             "target": fgr.save(h, m.target()),
+             "mapping": fmr.save(h, m.mapping())}
+        return d