Algebraic Coding Theory, Algebraic Combinatorics, Noncommutative Algebra

Iranian Mathematical Society (IMS), Reviewer of the American Mathematical Society (AMS)

Distinguished master thesis award (Annual award presented by Tarbiat Modarres University to the outstanding master thesis in mathematics), Exceptional Talent title of Amirkabir University of Technology in Ph.D., Superior teaching awards of Shahrood University of Technology for four consecutive years.

ABDOLLAH ALHEVAZ received the Ph.D. degree in Mathematics from Amirkabir University of Technology (Tehran Polytechnic), Tehran, Iran, in December 2014. Then he joined Shahrood University of Technology as an Assistant Professor in February 2015, and promoted to the rank of Associate Professor in February 2019. He is currently works as an Associate Professor of Mathematics with the Faculty of Mathematical Sciences, Shahrood University of Technology, Shahrood, Iran. He is also a reviewer of Mathematical Review, a member of the American Mathematical Society and the managing editor of the Journal of Algebraic Systems. His current research interest includes Algebraic Combinatorics, Spectral Graph Theory, Noncommutative Algebra and also Algebraic Coding Theory.

- Coding Theory

- Engineering Mathematics
- Information Theory and Applications
- Algebraic Graph Theory
- Coding Theory
- Graph Theory
- Ring-Based Coding
- Coding (I)
- Coding (II)

- Combinatorics
- Algebra
- Calculus (I)
- Calculus (II)
- Calculus (For Math. Students)
- Applications of Mathematics in Management and Accounting
- Foundations of Combinatorics
- Foundations of Algebra
- Foundations of Mathematics
- Matrix Theory and Linear Algebra
- Differential Equations
- Graph Theory and Applications

All Thesis (23)

*"Annihilator Ideals of Noncommutative Ring Constructions"*, COMMUNICATIONS IN ALGEBRA, 1, 1, 63-86, 2016-01-02*"On Skew Triangular Matrix Rings"*, ALGEBRA COLLOQUIUM, 2, 2, 271-280, 2015-06-01*"On zero-divisor graphs of skew polynomial rings over non-commutative rings"*, JOURNAL OF ALGEBRA AND ITS APPLICATIONS, 3, 3, 1750056-, 2017-03-01*"On Ore extension and skew power series rings with some restrictions on zero-divisors"*, JOURNAL OF ALGEBRA AND ITS APPLICATIONS, 9, 9, 1750164-, 2017-05-01*"An Alternative Perspective on Skew Generalized Power Series Rings"*, Mediterranean Journal of Mathematics, 0, 0, -, 2017-01-01*"Nilradicals of the unique product monoid rings"*, JOURNAL OF ALGEBRA AND ITS APPLICATIONS, 7, 7, 1750133-, 2017-05-01*"On zero divisor graph of unique product monoid rings over Noetherian reversible ring"*, Categories and General Algebraic Structures with Applications, 0, 0, 95-113, 2016-01-01*"Bounds on hyper-Wiener index of graphs"*, Asian-European Journal of Mathematics, 3, 3, 1-15, 2017-01-01*"On the diameter of the compressed zero-divisor graph"*, COMMUNICATIONS IN ALGEBRA, 11, 11, 4855-4864, 2017-11-01*"On primeness of general skew inverse Laurent series ring"*, COMMUNICATIONS IN ALGEBRA, 3, 3, 919-923, 2017-03-01*"Some types of ring elements in Ore extensions over noncommutative rings"*, JOURNAL OF ALGEBRA AND ITS APPLICATIONS, 11, 11, 1750201-, 2017-11-01*"(sigma,delta)-Compatible Skew PBW Extension Ring"*, Kyungpook Mathematical Journal, 3, 3, 401-417, 2017-01-08*"MORE ON EDGE HYPER WIENER INDEX OF GRAPHS"*, Journal of Algebraic Systems, 2, 2, 135-153, 2017-06-01*"On generalized power series rings with some restrictions on zero-divisors"*, JOURNAL OF ALGEBRA AND ITS APPLICATIONS, 3, 3, 1850040-, 2018-03-01*"On transfer of annihilator conditions of rings"*, JOURNAL OF ALGEBRA AND ITS APPLICATIONS, 10, 10, 1850199-, 2018-10-01*"Further results on the distance signless Laplacian spectrum of graphs"*, Asian-European Journal of Mathematics, 3, 3, 1850066-, 2018-01-07*"The cozero-divisor graph of a module"*, Asian-European Journal of Mathematics, 6, 6, 1850092-, 2018-11-01*"On zero-divisors of near-rings of polynomials"*, Quaestiones Mathematicae, 4, 4, 1-10*"On diameter of the zero-divisor and the compressed zero-divisor graphs of skew Laurent polynomial rings"*, JOURNAL OF ALGEBRA AND ITS APPLICATIONS, 8, 8, 1-18*"On the Distance Signless Laplacian Spectrum of Graphs"*, Bulletin of the Malaysian Mathematical Sciences Society, 1, 1, 1-19*"Skew Generalized Power Series Rings and the McCoy Property"*, TAIWANESE JOURNAL OF MATHEMATICS, 3, 3, 1-23*"On clean and regular elements of noncommutative ring extensions"*, COMMUNICATIONS IN ALGEBRA, 10, 10, 1-12*"On Distance Signless Laplacian Spectrum and Energy of Graphs"*, Electronic Journal of Graph Theory and Applications, 2, 2, 326-340*"ON THE JACOBSON RADICAL OF SKEW INVERSE LAURENT SERIES RING"*, JOURNAL OF ALGEBRA AND ITS APPLICATIONS, 9, 9, -*"DIRECTED ZERO-DIVISOR GRAPH AND SKEW POWER SERIES RINGS"*, Transactions on Combinatorics, 4, 4, 43-57, 2018-12-01*"On the distance signless Laplacian spectral radius and the distance signless Laplacian energy of graphs"*, Discrete Mathematics, Algorithms and Applications, 3, 3, 1-19, 2018-07-01*"ON LAPLACIAN ESTRADA INDEX OF UNION AND CARTESIAN PRODUCT OF GRAPHS"*, Kragujevac Journal of Mathematics, 1, 1, 23-30, 2019-01-01*"Spectrum of graphs obtained by operations"*, Asian-European Journal of Mathematics, 1, 1, 1-8, 2020-01-01*"Minimum covering reciprocal distance signless Laplacian energy of graphs"*, Acta Univ. Sapientiae, Informatica, 2, 2, 218-240, 2019-10-12*"Domination number of graphs associated with rings"*, JOURNAL OF ALGEBRA AND ITS APPLICATIONS, 5, 5, 1-13, 2019-01-21*"On extensions of Baer and quasi-Baer modules"*, Acta Univ. Sapientiae, Mathematica, 2, 2, 402-417, 2018-12-28*"Computing the reciprocal distance signless Laplacian eigenvalues and energy of graphs"*, Le Matematiche, 1, 1, 49-73, 2019-05-24*"Characterization of perfect Roman domination edge critical trees"*, Le Matematiche, 1, 1, 1-10*"ON QUASI-RADICAL OF NEAR-RING OF POLYNOMIALsss"*, STUDIA SCIENTIARUM MATHEMATICARUM HUNGARICAaa, 2, 2, 252-259, 2019-06-01*"ON QUASI-RADICAL OF NEAR-RING OF POLYNOMIALS"*, STUDIA SCIENTIARUM MATHEMATICARUM HUNGARICA, 2, 2, 252-259, 2019-06-01*"THE TOTAL GRAPH OF ANNIHILATING ONE-SIDED IDEALS OF A RING"*, International Electronic Journal of Algebra, 1, 1, 61-76, 2020-01-07*"A fresh look into skew inverse Laurent series rings"*, COMMUNICATIONS IN ALGEBRA, 48, 48, 13-1*"On Complementary Distance Signless Laplacian Spectral Radius and Energy of Graphs"*, Iranian Journal of Mathematical Sciences and Informatics, 2, 2, 105-125, 2019-01-10*"Brouwer type conjecture for the eigenvalues of distance signless Laplacian matrix of a graph"*, LINEAR , MULTILINEAR ALGEBRA, 1, 1, 1-18*"On the sum of the powers of distance signless Laplacian eigenvalues of graphs"*, Indian Journal of Pure and Applied Mathematics, 1, 1, 1-21*"Bounds for peripheral distance signless Laplacian eigenvalues of graphs"*, Asian-European Journal of Mathematics, 1, 1, 2050113-*"Ore Extension Rings with Constant Products of Elements"*, Kyungpook Mathematical Journal, 4, 4, 603-615, 2019-12-01*"Undirected Zero-Divisor Graphs and Unique Product Monoid Rings"*, ALGEBRA COLLOQUIUM, 4, 4, 665-676, 2019-12-01*"On perfect Roman domination number in trees: complexity and bounds"*, JOURNAL OF COMBINATORIAL OPTIMIZATION, 3, 3, 712-720*"On distance signless Laplacian Estrada index and energy of graphs"*, Kragujevac Journal of Mathematics, 6, 6, 837-858*"On the sum of the distance signless Laplacian eigenvalues of a graph and some inequalities involving them"*, Discrete Mathematics, Algorithms and Applications, 1, 1, 2050006-*"Bounds for the Generalized Distance Eigenvalues of a Graph"*, Symmetry-Basel, 12, 12, 1529-*"On the Generalized Distance Energy of Graphs"*, Mathematics, 1, 1, 17-, 2019-12-19*"Strong Equality of Perfect Roman and Weak Roman Domination in Trees"*, Mathematics, 10, 10, 997-, 2019-10-21*"Merging the Spectral Theories of Distance Estrada and Distance Signless Laplacian Estrada Indices of Graphs"*, Mathematics, 10, 10, 995-, 2019-10-19*"On Generalized Distance Gaussian Estrada Index of Graphs"*, Symmetry-Basel, 10, 10, 1276-, 2019-10-11*"The Generalized Distance Spectrum of the Join of Graphs"*, Symmetry-Basel, 1, 1, 169-, 2020-01-15*"On clean and regular elements of near-ring of skew polynomials"*, COMMUNICATIONS IN ALGEBRA, 6, 6, 1-15

*"Some bounds for distance signlessLaplacian radius of graphs"*, 8th Conference and Workshop on Algebraic Combinatorics and Graph Theory, Qazvin, 2010-06-09*"Annihilator conditions in noncommutative ring extensions"*, 46th Annual Iranian Mathematics Conference, یزد, 2010-06-09*"On right strongly Hopfian property of skew generalized power series rings"*, 4th Seminar on Algebra and its applications, 2016-08-09*"On directed zero-divisor graphs of Ore extensions over reversible rings"*, 25th Iranian Algebra Seminar, 2017-07-07*"On eigenvalues of the graphs with respect to the reciprocal distance signless Laplacian matrix"*, 4th Seminar on Algebra and its Applications, ایران, اردبیل, 2016-08-09*"A note on distance signless Laplacian spectrum of graphs"*, 25th Iranian Algebra Seminar, ایران, سبزوار, 2016-07-20*"On eigenvalues and energy of graphs with respect to the distance signless Laplacian matrix"*, First International Conference on Combinatorics, Cryptography and Computation, ایران, تهران (نور), 2015-09-01*"On the spectra of the graphs obtained by generalized join graph operation"*, The 9th Seminar on Linear Algebra and its Applications, ایران, تبریز, 2017-07-05*"Spectra of the distance signless Laplacian matrix assigned to graphs"*, The 3rd Seminar on Operator Theory and its Applications, ایران, مشهد, 2017-03-08*"On energy and spectral radius of graphs"*, The 9th Graph Theory and Algebraic Combinatorics Conference, ایران, تهران, 2017-02-22*"Bounds on the distance signless Laplacian spread and spectral radius of graphs"*, The 9th Graph Theory and Algebraic Combinatorics Conference, ایران, تهران, 2017-02-22*"Spectra of the distance singless Laplasian matrix assigned to grphs"*, سومین سمینار نظریه عملگرها و کاربردهای آن, 2018-05-08*"On spectrum and energy of the Harary-like matrix assigned to graphs"*, 49th Annual Iranian Mathematics Conference, ایران, تهران, 2018-08-23*"Perfect codes in A_n Lattice"*, The First National Congress on Mathematics & Statistics, ایران, گنبد کاووس, 2018-05-10*"On energy of graphs with respect to dominating sets"*, The First National Congress on Mathematics & Statistics, ایران, گنبد کاووس, 2018-05-10*"On nilpotent elements of rings obtained by unification of skew polynomial rings and skew power series rings"*, 9th National Conference on Mathematics of Payame Noor University, ایران, کرمان, 2018-06-10*"Some new bounds for the distance signless Laplacian energy of graphs"*, Second Local Conference of Mathematical Science and Applications, ایران, بهبهان, 2020-02-12*"On the reciprocal distance signless Laplacian eigenvalues of graphs"*, Second Local Conference of Mathematical Science and Applications, ایران, بهبهان, 2020-02-12*"Some new bounds on perfect roman domination number of graphs"*, The 50th Annual Iranian Mathematics Conference, ایران, شيراز, 2019-08-26