3 citations · 9 across the 30 of their papers we have counts for
5 papers · 1 filter
Grassmannians over a finite field
Abolfazl Tarizadeh
In this paper, we characterize the Grassmannian Gr in terms of the row echelon forms of rank . Using this characterization, then in the case of finite field we give a pol…
On the direct product of fields with an application
Abolfazl Tarizadeh
In this paper, the (infinite) direct product of fields is investigated. In particular, the finiteness of a given set is characterized in terms of some ring-theoretic observations.…
On the closed subschemes of a scheme
Abolfazl Tarizadeh
In this paper, we obtain some new results on closed subschemes. Specially, we define natural addition and multiplication on the closed subschemes of a scheme. It is shown that "the…
Ring-theoretic approaches to point-set topology
Abolfazl Tarizadeh
In this paper, it is shown that a topological space is compact iff every maximal ideal of the power set ring converges to exactly one point of . Then as an…
Stone type representations and dualities by power set ring
Abolfazl Tarizadeh, Zahra Taheri
In this paper, it is shown that the Boolean ring of a commutative ring is isomorphic to the ring of clopens of its prime spectrum. In particular, Stone's Representation Theorem is…