Correction: Hoops et al., Dopamine Development in the Mouse Orbital Prefrontal Cortex is Protracted and Sensitive to Amphetamine in Adolescence (eNeuro January/ February 2018, 5(1) e0372-17.2017 1-9 https://doi.org/10.1523/ENEURO.0372-17.2017 In the article “Dopamine Development in the Mouse Orbital Prefrontal Cortex is Protracted and Sensitive to Amphetamine in Adolescence” by Daniel Hoops, La...

In this paper we deal with quasivarieties of residuated structures which form the equivalent algebraic semantics a positive fragment some substructural logic. Our focus is mainly on varieties and Wajsberg hoops, are Łukasiewicz many-valued particular study lattice subquasivarieties hoops describe completely all subvarieties that primitive. Though treatment mostly in nature, there obvious connec...

in this paper, we introduce the concepts of right, left and product stabilizers on hoops and study some properties and the relation between them.  and we try to find that how they can be equal and investigate that under what condition they can be filter, implicative filter, fantastic and positive implicative filter. also, we prove that  right and product stabilizers are filters and if they are ...

Abstract We study (strictly) join irreducible varieties in the lattice of subvarieties residuated lattices. explore connections with well-connected algebras and suitable generalizations, focusing particular on representable varieties. Moreover, we find weakened notions Halldén completeness that characterize irreducibility. strictly basic hoops use generalized rotation construction to $\mathsf{M...

Injectives in several classes of structures associated with logic are characterized. Among the classes considered are residuated lattices, MTLalgebras, IMTL-algebras, BL-algebras, NM-algebras and bounded hoops.

In this paper, we define the notion of minimal prime ideals hoops and investigate some properties them. Then by using annihilators, study relation between annihilators. Also, introduce zero divisors elements prove that set all is a union hoop. Finally, notions maximal hoop, two new as p-ideal m-ideal. them every semi-simple hoop an m-ideal it.