Algebraic Structures and Their ApplicationsAlgebraic Structures and Their Applications
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Feed provided by Algebraic Structures and Their Applications. Click to visit.Derivations of UP-algebras by means of UP-endomorphisms
http://as.yazd.ac.ir/article_901_188.html
The notion of $f$-derivations of UP-algebras is introduced, some useful examples are discussed, and related properties are investigated. Moreover, we show that the fixed set and the kernel of $f$-derivations are UP-subalgebras of UP-algebras,and also give examples to show that the two sets are not UP-ideals of UP-algebras in general.Wed, 19 Apr 2017 19:30:00 +0100A Note on Artinian Primes and Second Modules
http://as.yazd.ac.ir/article_953_188.html
Prime submodules and artinian prime modules are characterized. Furthermore, some previous results on prime modules and second modules are generalized.Thu, 31 Mar 2016 19:30:00 +0100On some classes of expansions of ideals in $MV$-algebras
http://as.yazd.ac.ir/article_954_188.html
In this paper, we introduce the notions of expansion of ideals in $MV$-algebras, $ (tau,sigma)- $primary, $ (tau,sigma)$-obstinate and $ (tau,sigma)$-Boolean in $ MV- $algebras. We investigate the relations of them. For example, we show that every $ (tau,sigma)$-obstinate ideal of an $ MV-$ algebra is $ (tau,sigma)$-primary and $ (tau,sigma)$-Boolean. In particular, we define an expansion $ sigma_{y} $ of ideals in an $ MV-$algebra. A characterization of expansion ideal with respect to $ sigma_{y} $ is given. Finally, we show that the class $ C(sigma_{y}) $ of all constant ideals relative to $ sigma_{y} $ is a Heyting algebra.Thu, 31 Mar 2016 19:30:00 +0100A new approach to characterization of MV-algebras
http://as.yazd.ac.ir/article_955_188.html
By considering the notion of MV-algebras, we recall some results on enumeration of MV-algebras and wecarry out a study on characterization of MV-algebras of orders $2$, $3$, $4$, $5$, $6$ and $7$. We obtain that there is one non-isomorphic MV-algebra of orders $2$, $3$, $5$ and $7$ and two non-isomorphic MV-algebras of orders $4$ and $6$.Thu, 31 Mar 2016 19:30:00 +0100