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Java > Open Source Codes > JSci > maths > groups > Group


1 package JSci.maths.groups;
2
3 /**
4 * This interface defines a group.
5 * @jsci.planetmath Group
6 * @version 1.0
7 * @author Mark Hale
8 */
9 public interface Group extends Monoid {
10         /**
11         * Returns true if one member is the inverse of the other.
12         * @param a a group member
13         * @param b a group member
14         */
15         boolean isInverse(Member a, Member b);
16
17         /**
18         * This interface defines a member of a group.
19         */
20         interface Member extends Monoid.Member {
21                 /**
22                 * Returns the inverse member.
23                 */
24                 Member inverse();
25         }
26 }
27
28
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