Rees Factor Semigroup
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Please note that the content of this book primarily consists of articles available from Wikipedia or other free sources online. In mathematics, in semigroup theory, a Rees factor semigroup (also called Rees quotient semigroup or just Rees factor) is a certain semigroup constructed using a semigroup and an ideal of the semigroup. Let S be a semigroup and I be an ideal of S. Using S and I one can construct a new semigroup by collapsing I into a single element while the elements of S outside of I retain their identity. The new semigroup obtained in this way is called the Rees factor semigroup of ...
Please note that the content of this book primarily consists of articles available from Wikipedia or other free sources online. In mathematics, in semigroup theory, a Rees factor semigroup (also called Rees quotient semigroup or just Rees factor) is a certain semigroup constructed using a semigroup and an ideal of the semigroup. Let S be a semigroup and I be an ideal of S. Using S and I one can construct a new semigroup by collapsing I into a single element while the elements of S outside of I retain their identity. The new semigroup obtained in this way is called the Rees factor semigroup of S modulo I and is denoted by S/I. The concept of Rees factor semigroup was introduced by D Rees in 1940.
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