شماره ركورد كنفرانس :
3835
عنوان مقاله :
Some extensions of theorems from BL-algebras to MTL-algebras
پديدآورندگان :
Khosravi Shoar Sadegh Department of Mathematics, Fasa University,Fasa , Iran
كليدواژه :
: MTL , algebras , BL , algebras , MV , algebras , Go ̈del algebra
عنوان كنفرانس :
اولين كنفرانس بين المللي مديريت، نوآوري و توليد ملي
چكيده فارسي :
In this work we show that we can extend some results of BL-algebras to MTL-algebras. We know that a BL-algebra is an MV-algebra if and only if x^ =x or equivalently (x→y)→y=(y→x)→x. We prove that this subject is true if we expand BL-algebras to the MTL-algebras. Similarly, we prove that an MTL-algebra L is called a Godel algebra if a^2=a⊙a=a, while this item holds for BL-algebras.