**Academic Rank :**Professor

**Faculty**: Mathematics and Computer Science

**Email :**aaestaji[at] hsu.ac.ir

**Degree of education :**Ph.D.

**Research Interests :**Rings of Continuous Functions Topology Rough Sets Pointfree Topology (Frame)

### Year :2023

Published in :Rings of quotients of the ring $mathcal{R}(L)$ by ${mathrm{coz}}$-filters

##### Title of publication:Journal of the Iranian Mathematical Society

Published in :Localic transitivity

##### Title of publication:Algebra Universalis

Published in :Topobooleans and Boolean Contact Algebras with Interpolation Property

##### Title of publication:Filomat

Published in :Rings of quotients of the ring $mathcal{R}(L)$ by ${mathrm{coz}}$-filters

##### Title of publication:Journal of the Iranian Mathematical Society

Published in :SOME SEPARATION AXIOMS IN TOPOFRAME

##### Title of publication:Algebraic structures and their applications

Published in :ISOTONIC CLOSURE FUNCTIONS ON A LOCALE

##### Title of publication:journal of algebraic systems

Published in :On Category of T-rough Sets

##### Title of publication:Filomat

### Year :2021

Published in :L-ideals and rough sets based on L-ideals

##### Title of publication:Knowledge and Information Systems (KAIS)

Published in :On CP-frame

##### Title of publication:Journal of Algebra and Related Topics

Published in :m-topology on the ring of real-measurable functions

##### Title of publication:journal of algebraic systems

Published in :On regularity and injectivity of the ring of real-continuous functions on a topoframe

##### Title of publication:Algebra Universalis

Published in :On CP-frame

##### Title of publication:Journal of Algebra and Related Topics

Published in :L-ideals and rough sets based on L-ideals

##### Title of publication:Knowledge and Information Systems (KAIS)

Published in :Base andWeight of Boolean I-Contact Algebras

##### Title of publication:Bulletin of the Iranian Mathematical Society

Published in :m-topology on the ring of real-measurable functions

##### Title of publication:journal of algebraic systems

### Year :2020

Published in :Category of soft Lie algebra

##### Title of publication:Soft Computing

Published in :Category of soft Lie algebra

##### Title of publication:Soft Computing

Published in :Locally functionally countable subalgebra of R(L)

##### Title of publication:Archivum Mathematicum (Brno)

Published in : Some relative normality properties in locales

##### Title of publication:Mathematica Slovaca

Published in :Rings of frame maps from P(R) to frames which vanish at infinity

##### Title of publication:Hacet. J. Math. Stat.

Published in : Free ideals and real ideals of the ring of frame maps from P(R) to a frame

##### Title of publication:Algebraic structures and their applications

Published in : Some relative normality properties in locales

##### Title of publication:Mathematica Slovaca

Published in :Sums of Strongly z-Ideals and Prime Ideals in RL

##### Title of publication:Iranian Journal of Mathematical Sciences and Informatics

### Year :2019

Published in :ON SELF-INJECTIVITY OF THE f-RING Frm(P(R); L)

##### Title of publication:Mathematica Slovaca

Published in :A generalized modal logic in causal structures

##### Title of publication:THEORETICAL COMPUTER SCIENCE

Published in :Further thoughts on the ring Rc (L) in frames

##### Title of publication:ALGEBRA UNIVERSALIS

Published in :Fixed points of covering upper and lower approximation operators

##### Title of publication:SOFT COMPUTING

### Year :2018

Published in :Rings of continuous functions vanishing at infinity on a frame

##### Title of publication:Quaestiones Mathematicae

Published in :Fuzzy roughness in Lie algebra by reference point

##### Title of publication:JOURNAL OF INTELLIGENT & FUZZY SYSTEMS

Published in :Zero elements and z-ideals in modied pointfree topology

##### Title of publication:Bulletin of the Iranian Mathematical Society

Published in :Intersection of essential ideals in the ring of real-valued continuous functions on a frame

##### Title of publication:Journal of Algebraic System

Published in :On injectivity of the ring of real-valued continuous functions on a frame

##### Title of publication:BULLETIN OF THE BELGIAN MATHEMATICAL SOCIETY-SIMON STEVIN

Published in :On Injectivity in Category of Rough Sets

##### Title of publication:SOFT COMPUTING

Published in :Primary decomposition of ideals of lattice homomorphisms

##### Title of publication:ELECTRONIC JOURNAL OF COMBINATORICS

Published in :On minimal ideals in the ring of real-valued continuous functions on a frame

##### Title of publication:Archivum Mathematicum

Published in :Maximal Ideals in Rings of Real Measurable Functions

##### Title of publication:Filomat

Published in :On Rough Sets and Hyperlattices

##### Title of publication:Ratio Mathematica

Published in :On maximal ideals of R∞L

##### Title of publication:Journal of Algebraic System

Published in :On Property (A) and socle of the $f$-ring $Frm(\mathcal{P}(\mathbb R), L)$

##### Title of publication:Categories and General Algebraic Structures with Application

### Year :2017

Published in :RL-valued f-ring homomorphisms and lattice-valued maps

##### Title of publication:Categories and General Algebraic Structures with Application

### Year :2016

Published in :On the category of rough sets

##### Title of publication:SOFT COMPUTING

Published in :The ring of real-continuous functions on a topoframe

##### Title of publication:Categories and General Algebraic Structures with Application

Published in :The ring of real-valued functions on a frame

##### Title of publication:Categories and General Algebraic Structures with Application

### Year :2015

Published in :ZERO SETS IN POINTFREE TOPOLOGY AND STRONGLY z-IDEALS

##### Title of publication:Bulletin of the Iranian Mathematical Society

Published in :Nexus over an Ordinal

##### Title of publication:Journal of Uncertain Systems

Published in :Pointless Form of Rough Sets

##### Title of publication:

Published in :STRONGLY FIXED IDEALS IN C(L) AND COMPACT FRAMES

##### Title of publication:

Published in :FUZZY NEXUS OVER AN ORDINAL

##### Title of publication:Journal of Algebraic System

Published in :Zero Divisor Graphs for S-Act

##### Title of publication:Lobachevskii Journal of Mathematics

### Year :2014

Published in :On multiplication Γ-modules

##### Title of publication:Ratio Mathematica

Published in :Some Results on Noetherian Semigroup

##### Title of publication:

### Year :2013

Published in :Multiplication Ideals in Gamma-rings

##### Title of publication:

### Year :2012

Published in :z-Weak Ideals and Prime Weak Ideals

##### Title of publication:Iranian Journal of Mathematical Sciences and Informatics

Published in :Rough set theory applied to lattice theory

##### Title of publication:INFORMATION SCIENCES

Published in :Fuzzy Primary and Fuzzy P-primary Subacts

##### Title of publication:World Applied Sciences Journal

Published in :On Polynomials over Abelian Rings

##### Title of publication:

### Year :2011

Published in :Prime Subacts Over Commutative Monoids with Zero

##### Title of publication:Lobachevskii Journal of Mathematics

Published in :On rough set and fuzzy sublattice

##### Title of publication:INFORMATION SCIENCES

### Year :2010

Published in :ON a-KASCH SPACES

##### Title of publication:

Published in :A NOTE ON MULTIPLICATION S-ACT

##### Title of publication:

### Year :2008

Published in :On almost discrete space

##### Title of publication:

### Year :2004

Published in :On λ-self-injectivity

##### Title of publication:

### Year :2003

Published in :On C(X) modulo its socle

##### Title of publication:COMMUNICATIONS IN ALGEBRA

Some relative normality properties in locales ' in 2219'

##### The 50th Annual Iranian Mathematics Conference

On the regularity of Cc (L) ' in 2022'

##### پنجاه و سومین کنفرانس ریاضی ایران

On functions which are discontinuous on a countable set ' in 2019'

##### The 50th Annual Iranian Mathematics Conference

On cozero sets of continuous functions with countable image ' in 2019'

##### The 26th Iranian Algebra Seminar

The 26th Iranian Algebra Seminar ' in 2019'

##### The 26th Iranian Algebra Seminar

Notes on essential ideals in subrings of C(X) that contain Cc(X) ' in 2019'

##### چهل و نهمین کنفرانس ریاضی ایران

On upper ideals in the ring Cc(X) ' in 2019'

##### چهل و نهمین کنفرانس ریاضی ایران

Radical operation on monoids ' in 2017'

##### The 48th Annual Iranian Mathematics Conference

A new pointfree form of topology ' in 2016'

##### 47th Annual Iranian Mathematics Conference, Kharazmi University

Bounded Lattice-valued functions ' in 2016'

##### 47th Annual Iranian Mathematics Conference, Kharazmi University

Realize of lattice valued functions ' in 2016'

##### 4th Seminar on Algebra and its Applications, University of Mohaghegh Ardabili

pointfree topology version of image of real-valued continuous functions with finite image ' in 2016'

##### 25th Iranian Algebra Seminar

Approximation of a fuzzy subset on a hyperlattice ' in 2016'

##### 25th Iranian Algebra Seminar Hakim Sabzevari University, July 20-21, 2016

Pointless form of grills ' in 2015'

##### 8th Seminar on Geometry and Topology

Weakly spatial frames ' in 2015'

##### 46th Annual Iranian Mathematics Conference

FUZZY NEXUS OVER AN ORDINAL ' in 2014'

##### 24th Iranian Algebra Seminar

z-FILTERS AND ZERO SETS IN POINTFREE TOPOLOGY ' in 2014'

##### 24th Iranian Algebra Seminar

PARTITIONS OF A LATTICE AND GALOIS CONNECTIONS ' in 2013'

##### The 44th Annual Iranian Mathematics Conference 27-30 August 2013, Ferdowsi University of Mashhad, Iran.

GCD AND LCM OF IDEALS IN Γ- ' in 2012'

##### 1st Algebraic Structures Seminar

Multiplication Ideals in !-rings ' in 2012'

##### Second Seminar on Algebra and its Applications August 30–September 01, 2012, University of Mohaghegh Ardabili

ON MULTIPLICATION ' in 2012'

##### 22nd Iranian Algebra Seminar 31th Jan { 2nd Feb 2012,

ON DIHEDRAL GROUP D2n ' in 2012'

##### 22nd Iranian Algebra Seminar 31th Jan { 2nd Feb 2012,

ON THE PRIME SPECTRUM OF S-ACT ' in 2011'

##### 42nd Annual Iranian Mathematics Conference 5-8 September 2011, Vali-e-Asr University of Rafsanjan, Iran, pp 81-84

On Rough Set and Fuzzy Sublattice ' in 2010'

##### 21st Algebra Seminar of Iran, 10-11 November 2010

On the z-ideal of Semigroup (C(X), .) ' in 0000'

##### International Conference on Mathematics and Statistics

Multiplication S-acts ' in 0000'

##### 38th Annual Iranian Mathematics

FUZZY PRIMARY SUBACTS ' in 0000'

##### 20th Seminar on Algebra

Some results on prime S-act ' in 0000'

##### 19th seminar on Algebra

Strongly Irreducible Subacts ' in 0000'

A note on the Noetherian Space and Noetherian semigroup ' in 0000'

##### Conference on Semigroups, Acts And Categories with Applications to Graphs,

On the Krull intersectionTheorem for S-act ' in 0000'

##### 18th seminar on Algebra,Damghan university of Basic Sciences

Some result on second and secondary subacts ' in 0000'

##### 39th Annual Iranian Mathematics

A note on the minimal ideal of a commutative ring ' in 0000'

on multiplicatio s-act ' in 0000'

##### 40th Annual Iranian Mathematics

The notion of product of two Subaets of multiplication S-act ' in 0000'

##### 19th seminar on Algebra

### book in 2018

مبانی ماتریس ها و جبر خطی

##### Publisher : نشر چهار درخت

### book in 2008

جبر توابع پيوسته

##### Publisher :

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