62.67 LibraryNearringInfo

LibraryNearringInfo( group_name, list, string )

This function provides information about the specified library near-rings in a way similar to how near-rings are presented in the appendix of Pil83. The parameter group_name specifies the name of a group; valid names are exactly those which are also valid for the function Library-Near-rings (cf. section LibraryNearring).

The parameter list must be a non-empty list of integers defining the classes of near-rings to be printed. Naturally, these integers must all fit into the ranges described in section LibraryNearring for the according groups.

The third parameter string is optional. string must be a string consisting of one or more (or all) of the following characters: l, m, i, v, s, e, a. Per default, (i.e. if this parameter is not specified), the output is minimal. According to each specified character, the following is added:

c:

print the meaning of the letters used in the output.

m:

print the multiplication tables.

i:

list the ideals.

l:

list the left ideals.

r:

list the right ideals.

v:

list the invariant subnear-rings.

s:

list the subnear-rings.

e:

list the near-ring endomorphisms.

a:

list the near-ring automorphisms.

Examples:

LibraryNearringInfo( "C3", [ 3 ], "lmivsea" ) will print all available in-for-ma-tion on the third class of near--rings on the group C_3.

LibraryNearringInfo( "C4", [ 1..12 ] ) will provide a minimal output for all classes of near--rings on C_4.

LibraryNearringInfo( "S3", [ 5, 18, 21 ], "mi" ) will print the minimal information plus the multiplication tables plus the ideals for the classes 5, 18, and 21 of near-rings on the group S_3.

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