On purely-prime ideals with applications
A Tarizadeh, M Aghajani - Communications in Algebra, 2021 - Taylor & Francis
In this paper, new algebraic and topological results on purely-prime ideals of a commutative
ring (pure spectrum) are obtained. Particularly, Grothendieck-type theorem is obtained …
ring (pure spectrum) are obtained. Particularly, Grothendieck-type theorem is obtained …
Reticulation functor and the transfer properties
G Georgescu - arXiv preprint arXiv:2205.02174, 2022 - arxiv.org
It is known that by using the commutator operation, for each congruence modular algebra $
A $ one can define a notion of prime congruence. The set $ Spec (A) $ of prime …
A $ one can define a notion of prime congruence. The set $ Spec (A) $ of prime …
Structural results on lifting, orthogonality and finiteness of idempotents
A Tarizadeh, PK Sharma - Revista de la Real Academia de Ciencias …, 2022 - Springer
In this paper, using the canonical correspondence between the idempotents and clopens,
we obtain several new results on lifting idempotents. The Zariski clopens of the maximal …
we obtain several new results on lifting idempotents. The Zariski clopens of the maximal …
Homogeneity of zero-divisors, units and colon ideals in a graded ring
A Tarizadeh - arXiv preprint arXiv:2108.10235, 2021 - arxiv.org
In this article, we introduce two conjectures generalizing Kaplansky's zero-divisor conjecture
of group-rings to the more general setting of $ G $-graded rings with $ G $ a torsion-free …
of group-rings to the more general setting of $ G $-graded rings with $ G $ a torsion-free …
Ring-theoretical methods in topology especially for compactifications
A Tarizadeh, MR Rezaee - arXiv preprint arXiv:1910.09884, 2019 - arxiv.org
In this paper, using commutative algebra, then new and significant advances on the
compactifications of topological spaces, especially on the Stone-\v {C} ech and Alexandroff …
compactifications of topological spaces, especially on the Stone-\v {C} ech and Alexandroff …
Lattices of fractions and flat morphisms of bounded distributive lattices
G Georgescu - Journal of Algebraic Hyperstructures and Logical …, 1999 - jahla.hatef.ac.ir
Journal of Algebraic Hyperstructures and Logical Algebras Lattices of fractions and flat
morphisms of bounded distributive latti Page 1 Journal of Algebraic Hyperstructures and Logical …
morphisms of bounded distributive latti Page 1 Journal of Algebraic Hyperstructures and Logical …