Peter Danchev

1.1k total citations
206 papers, 633 citations indexed

About

Peter Danchev is a scholar working on Algebra and Number Theory, Geometry and Topology and Discrete Mathematics and Combinatorics. According to data from OpenAlex, Peter Danchev has authored 206 papers receiving a total of 633 indexed citations (citations by other indexed papers that have themselves been cited), including 182 papers in Algebra and Number Theory, 86 papers in Geometry and Topology and 66 papers in Discrete Mathematics and Combinatorics. Recurrent topics in Peter Danchev's work include Rings, Modules, and Algebras (174 papers), Advanced Topics in Algebra (90 papers) and Finite Group Theory Research (66 papers). Peter Danchev is often cited by papers focused on Rings, Modules, and Algebras (174 papers), Advanced Topics in Algebra (90 papers) and Finite Group Theory Research (66 papers). Peter Danchev collaborates with scholars based in Bulgaria, Russia and United States. Peter Danchev's co-authors include Brendan Goldsmith, Warren Wm. McGovern, T. Y. Lam, Yiqiang Zhou, D. D. Anderson, Esther Garcı́a, Miguel Gómez Lozano, Stephen D. Cohen, A. Moussavi and Jason P. Bell and has published in prestigious journals such as SHILAP Revista de lepidopterología, Proceedings of the American Mathematical Society and Linear Algebra and its Applications.

In The Last Decade

Peter Danchev

147 papers receiving 462 citations

Peers — A (Enhanced Table)

Peers by citation overlap · career bar shows stage (early→late) cites · hero ref

Name	h						Papers	Cites
Peter Danchev Bulgaria	11	566	263	216	151	46	206	633
István Beck Norway	5	736 1.3×	437 1.7×	181 0.8×	162 1.1×	33 0.7×	13	801
Huanyin Chen China	15	554 1.0×	355 1.3×	29 0.1×	129 0.9×	17 0.4×	147	590
Charles Megibben United States	15	390 0.7×	345 1.3×	136 0.6×	111 0.7×	23 0.5×	51	568
Brendan Goldsmith Ireland	11	272 0.5×	244 0.9×	98 0.5×	130 0.9×	13 0.3×	71	406
William W. Smith United States	12	290 0.5×	96 0.4×	52 0.2×	118 0.8×	28 0.6×	37	347
Jay Shapiro United States	12	503 0.9×	346 1.3×	64 0.3×	160 1.1×	9 0.2×	49	537
Fabrizio Zanello United States	12	257 0.5×	200 0.8×	137 0.6×	114 0.8×	9 0.2×	41	286
Francesco Catino Italy	9	187 0.3×	187 0.7×	74 0.3×	42 0.3×	12 0.3×	38	238
K.C. O’Meara New Zealand	11	397 0.7×	247 0.9×	28 0.1×	112 0.7×	22 0.5×	36	441
C R Hajarnavis United Kingdom	10	547 1.0×	369 1.4×	38 0.2×	81 0.5×	10 0.2×	33	579

Countries citing papers authored by Peter Danchev

Since Specialization

Citations

This map shows the geographic impact of Peter Danchev's research. It shows the number of citations coming from papers published by authors working in each country. You can also color the map by specialization and compare the number of citations received by Peter Danchev with the expected number of citations based on a country's size and research output (numbers larger than one mean the country cites Peter Danchev more than expected).

Fields of papers citing papers by Peter Danchev

Since Specialization

Physical SciencesHealth SciencesLife SciencesSocial Sciences

This network shows the impact of papers produced by Peter Danchev. Nodes represent research fields, and links connect fields that are likely to share authors. Colored nodes show fields that tend to cite the papers produced by Peter Danchev. The network helps show where Peter Danchev may publish in the future.

Co-authorship network of co-authors of Peter Danchev

This figure shows the co-authorship network connecting the top 25 collaborators of Peter Danchev. A scholar is included among the top collaborators of Peter Danchev based on the total number of citations received by their joint publications. Widths of edges represent the number of papers authors have co-authored together. Node borders signify the number of papers an author published with Peter Danchev. Peter Danchev is excluded from the visualization to improve readability, since they are connected to all nodes in the network.

All Works

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20 of 20 papers shown

Danchev, Peter, et al.. (2025). Some results on triangular coefficient matrix rings. SHILAP Revista de lepidopterología. 12. 8–16.

Danchev, Peter, et al.. (2025). SOLUTION TO THE UNIFORMLY FULLY INERT SUBGROUPS PROBLEM FOR ABELIAN GROUPS. Rocky Mountain Journal of Mathematics. 55(6).

Danchev, Peter, et al.. (2025). Two generalizations of Hopfian Abelian groups. Communications in Contemporary Mathematics. 1 indexed citations

Danchev, Peter, et al.. (2024). Generalized Bassian and other mixed Abelian groups with bounded p-torsion. Journal of Algebra. 663. 1–19. 4 indexed citations

Danchev, Peter. (2024). The Number of Idempotents in Commutative Group Rings of Prime Characteristic. SARAJEVO JOURNAL OF MATHEMATICS. 7(2). 149–152.

Danchev, Peter, et al.. (2024). Semi-generalized co-Bassian groups. Journal of Algebra and Its Applications. 24(12). 2 indexed citations

Danchev, Peter, et al.. (2024). Images of multilinear polynomials on generalized quaternion algebras. Journal of Algebra and Its Applications. 24(9).

Danchev, Peter, et al.. (2024). Rings additively generated by periodic elements. Journal of Algebra and Its Applications. 25(2).

Danchev, Peter, et al.. (2024). Products of traceless and semi-traceless matrices over division rings and their applications. International Journal of Algebra and Computation. 34(3). 331–349. 2 indexed citations

10.

Danchev, Peter, et al.. (2019). On commutator Krylov transitive and commutator weakly transitive Abelian p-groups. Forum Mathematicum. 31(6). 1607–1623. 1 indexed citations

11.

Danchev, Peter. (2017). Strongly nil-clean corner rings. Bulletin of the Iranian Mathematical Society. 43(5). 1333–1339. 6 indexed citations

12.

Danchev, Peter. (2009). Trivial Units in Abelian Group Algebras. Extracta Mathematicae. 24(1). 47–53. 2 indexed citations

13.

Danchev, Peter. (2009). COMMUTATIVE GROUP ALGEBRAS OF ABELIAN GROUPS WITH UNCOUNTABLE POWERS AND LENGTHS. Okayama University Scientific Achievement Repository (Okayama University). 51(1). 179–192. 1 indexed citations

14.

Danchev, Peter. (2008). Trivial Units in Commutative Group Algebras. Extracta Mathematicae. 23(1). 49–60. 3 indexed citations

15.

Danchev, Peter. (2005). Countable extensions of torsion Abelian groups. Archivum Mathematicum. 41(3). 265–272. 2 indexed citations

16.

Danchev, Peter. (2005). On the trivial units in finite commutative group rings. Mathematical communications. 10(2). 143–147. 2 indexed citations

17.

Danchev, Peter. (2005). Subgroups of the basic subgroup in a modular group ring. Mathematica Slovaca. 55(4). 431–441. 1 indexed citations

18.

Danchev, Peter. (2004). A note on the isomorphism of modular group algebras of global Warfield abelian groups. 10(1). 49–51.

19.

Danchev, Peter. (2004). Primary Abelian Σ-Groups of Countable Length >=ω.2 are not Necessarily Summable. Commentarii mathematici Universitatis Sancti Pauli = Rikkyo Daigaku sugaku zasshi. 53(2). 115–119. 1 indexed citations

20.

Danchev, Peter. (2003). Commutative Group Algebras of Direct Sums of -Summables Abelian p-Groups. Kyungpook mathematical journal. 44(1). 21–21. 4 indexed citations

Rankless uses publication and citation data sourced from OpenAlex, an open and comprehensive bibliographic database. While OpenAlex provides broad and valuable coverage of the global research landscape, it—like all bibliographic datasets—has inherent limitations. These include incomplete records, variations in author disambiguation, differences in journal indexing, and delays in data updates. As a result, some metrics and network relationships displayed in Rankless may not fully capture the entirety of a scholar's output or impact.

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