ABSORBENT PENYARINGAN TERURUT DARI SEMIGRUP IMPLIKATIF
Abstract
The simplest algebraic structure is called groupoid, where groupoid is
nonempty set with a binary operation. The groupoid which is associative is called a
semigroup. A negatively partially ordered semigroup is a set A with a partial ordering
and a binary operation. Such A is called implicative if there is an additional binary operation.
In this paper will be reviewed the notion of absorbent ordered lters in implicative
semigroups. Then it will be studied the relations among ordered lters, absorbent ordered
lters, and positive implicative ordered lters.
nonempty set with a binary operation. The groupoid which is associative is called a
semigroup. A negatively partially ordered semigroup is a set A with a partial ordering
and a binary operation. Such A is called implicative if there is an additional binary operation.
In this paper will be reviewed the notion of absorbent ordered lters in implicative
semigroups. Then it will be studied the relations among ordered lters, absorbent ordered
lters, and positive implicative ordered lters.
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PDFDOI: https://doi.org/10.25077/jmu.4.1.85-92.2015
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