Examples of groups in abstract Algebra Course Books

Topological Methods in Abstract Algebra. Cohomology Theory of Groups

Analysis of Images in Iranian High School EFL Course Books

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Examples of non-quasicommutative semigroups decomposed into unions of groups

Decomposability of an algebraic structure into the union of its sub-structures goes back to G. Scorza's Theorem of 1926 for groups. An analogue of this theorem for rings has been recently studied by A. Lucchini in 2012. On the study of this problem for non-group semigroups, the first attempt is due to Clifford's work of 1961 for the regular semigroups. Since then, N.P. Mukherjee in 1972 studied...

Lecture # 14: Abstract Algebra Fundamental Theorem of Finite Abelian Groups

Course MA2C03, Michaelmas Term 2014 Section 2: Abstract Algebra

2 Abstract Algebra 24 2.1 Binary Operations on Sets . . . . . . . . . . . . . . . . . . . . 24 2.2 Commutative Binary Operations . . . . . . . . . . . . . . . . 24 2.3 Associative Binary Operations . . . . . . . . . . . . . . . . . . 24 2.4 Semigroups . . . . . . . . . . . . . . . . . . . . . . . . . . . . 25 2.5 The General Associative Law . . . . . . . . . . . . . . . . . . 26 2.6 Identity el...