Algebra

1504 Submissions

[2] viXra:1504.0192 [pdf] submitted on 2015-04-23 20:54:28

Fuzzy Abel Grassmann Groupoids

Authors: Madad Khan, Florentin Smarandache, Tariq Aziz
Comments: 82 Pages.

In this book, we introduce the concept of (/in, /in /or q_k)-fuzzy ideals and (/in_gamma, in_gamma /or q_delta)-fuzzy ideals in a non-associative algebraic structure called Abel Grassmann’s groupoid, discuss several important features of a regular AG-groupoid, investigate some characterizations of regular and intra-regular AG-groupoids and so on.
Category: Algebra

[1] viXra:1504.0032 [pdf] submitted on 2015-04-03 18:57:03

Smallest Symmetric Supergroups Of the Abstract Groups Up to Order 37

Authors: Richard J. Mathar
Comments: 18 Pages.

Each finite group is a subgroup of some symmetric group, known as the Cayley theorem. We find the symmetric group of smallest order which hosts the finite groups in that sense for most groups of order less than 37. For each of these small groups this is made concrete by providing a permutation group with a minimum number of moved elements in terms of a list of generators of the permutation group in reduced cycle notation.
Category: Algebra