Abstract Alongside the analogy between maximal ideals and complete theories, Jacobson radical carries over from of commutative rings to theories propositional calculi. This prompts a variant Lindenbaum’s Lemma that relates classical validity intuitionistic provability, syntactical counterpart which is Glivenko’s Theorem. The in fact turns out coincide with deductive closure. As by-product we ob...

Given a graph H, a graphic sequence π is potentially H-graphic if there is some realization of π that contains H as a subgraph. In 1991, Erdős, Jacobson and Lehel posed the following question: Determine the minimum even integer σ(H,n) such that every n-term graphic sequence with sum at least σ(H,n) is potentially H-graphic. This problem can be viewed as a “potential” degree sequence relaxation ...

The generalization of A r statistics, including bosonic and fermionic sectors, is performed by means of the so-called Jacobson generators. The corresponding Fock spaces are constructed. The Bargmann representations are also considered. For the bosonic A r statistics, two inequivalent Bargmann realizations are developed. The first (resp. second) realization induces, in a natural way, coherent st...

speakers of different languages have paid attention to the phonetics of their language since ancient times. muslim scientists have also taken into consideration the value of phonological studies and among them there are linguists who are not less important than any western ones like saussure, chomsky and jacobson. some of them are even counted more major than westerners; one of these muslim sch...