K. Alan Loper

699 total citations
29 papers, 252 citations indexed

About

K. Alan Loper is a scholar working on Algebra and Number Theory, Geometry and Topology and Computational Theory and Mathematics. According to data from OpenAlex, K. Alan Loper has authored 29 papers receiving a total of 252 indexed citations (citations by other indexed papers that have themselves been cited), including 25 papers in Algebra and Number Theory, 8 papers in Geometry and Topology and 8 papers in Computational Theory and Mathematics. Recurrent topics in K. Alan Loper's work include Rings, Modules, and Algebras (24 papers), Advanced Topics in Algebra (13 papers) and Commutative Algebra and Its Applications (12 papers). K. Alan Loper is often cited by papers focused on Rings, Modules, and Algebras (24 papers), Advanced Topics in Algebra (13 papers) and Commutative Algebra and Its Applications (12 papers). K. Alan Loper collaborates with scholars based in United States, Italy and Israel. K. Alan Loper's co-authors include Marco Fontana, Thomas G. Lucas, Moshe Roitman, Carmelo Antonio Finocchiaro, Paul-Jean Cahen, Jean-Luc Chabert, Byung Gyun Kang, Mingyu Park, William Heinzer and Bruce Olberding and has published in prestigious journals such as Transactions of the American Mathematical Society, Proceedings of the American Mathematical Society and Journal of Algebra.

In The Last Decade

K. Alan Loper

25 papers receiving 218 citations

Peers — A (Enhanced Table)

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

Name	h						Papers	Cites
K. Alan Loper United States	10	246	109	48	26	19	29	252
Gyu Whan Chang South Korea	11	346 1.4×	157 1.4×	37 0.8×	20 0.8×	20 1.1×	85	355
A. Mimouni Saudi Arabia	9	228 0.9×	90 0.8×	51 1.1×	11 0.4×	9 0.5×	51	229
Stefania Gabelli Italy	11	370 1.5×	172 1.6×	52 1.1×	23 0.9×	16 0.8×	29	379
Carmelo Antonio Finocchiaro Italy	8	205 0.8×	114 1.0×	41 0.9×	34 1.3×	8 0.4×	22	215
Bruce Olberding United States	10	316 1.3×	157 1.4×	69 1.4×	37 1.4×	15 0.8×	50	337
S. Kabbaj Saudi Arabia	13	478 1.9×	323 3.0×	73 1.5×	25 1.0×	14 0.7×	50	486
Byung Gyun Kang South Korea	11	478 1.9×	241 2.2×	55 1.1×	27 1.0×	40 2.1×	41	490
Hwankoo Kım South Korea	11	314 1.3×	216 2.0×	27 0.6×	14 0.5×	4 0.2×	81	318
Pascual Jara Spain	8	181 0.7×	136 1.2×	17 0.4×	72 2.8×	6 0.3×	40	205
Hidetoshi Marubayashi Japan	11	328 1.3×	218 2.0×	42 0.9×	19 0.7×	7 0.4×	76	338

Countries citing papers authored by K. Alan Loper

Since Specialization

Citations

This map shows the geographic impact of K. Alan Loper'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 K. Alan Loper with the expected number of citations based on a country's size and research output (numbers larger than one mean the country cites K. Alan Loper more than expected).

Fields of papers citing papers by K. Alan Loper

Since Specialization

Physical SciencesHealth SciencesLife SciencesSocial Sciences

This network shows the impact of papers produced by K. Alan Loper. 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 K. Alan Loper. The network helps show where K. Alan Loper may publish in the future.

Co-authorship network of co-authors of K. Alan Loper

This figure shows the co-authorship network connecting the top 25 collaborators of K. Alan Loper. A scholar is included among the top collaborators of K. Alan Loper 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 K. Alan Loper. K. Alan Loper 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

Heinzer, William, et al.. (2024). A connectedness theorem for spaces of valuation rings. Journal of Algebra. 647. 844–857.

Heinzer, William, et al.. (2016). Ideal theory of infinite directed unions of local quadratic transforms. Journal of Algebra. 474. 213–239. 2 indexed citations

Finocchiaro, Carmelo Antonio & K. Alan Loper. (2016). The strong ultrafilter topology on spaces of ideals. Journal of Algebra. 461. 226–243. 2 indexed citations

Loper, K. Alan, et al.. (2015). Resultants of minimal polynomials of maximal real cyclotomic extensions. Journal of Number Theory. 158. 298–315. 2 indexed citations

Loper, K. Alan, et al.. (2014). The axiomatizability of the class of root closed monoids. Semigroup Forum. 91(3). 737–740. 1 indexed citations

Loper, K. Alan, et al.. (2014). Split Quaternions and Integer-valued Polynomials. Communications in Algebra. 43(1). 182–196. 2 indexed citations

Finocchiaro, Carmelo Antonio, Marco Fontana, & K. Alan Loper. (2013). The constructible topology on spaces of valuation domains. Transactions of the American Mathematical Society. 365(12). 6199–6216. 15 indexed citations

Finocchiaro, Carmelo Antonio, Marco Fontana, & K. Alan Loper. (2013). Ultrafilter and Constructible Topologies on Spaces of Valuation Domains. Communications in Algebra. 41(5). 1825–1835. 4 indexed citations

Kang, Byung Gyun, et al.. (2012). The Krull dimension of power series rings over non-SFT rings. Journal of Pure and Applied Algebra. 217(2). 254–258. 10 indexed citations

10.

Loper, K. Alan, et al.. (2012). Generalized rings of integer-valued polynomials. Journal of Number Theory. 132(11). 2481–2490. 15 indexed citations

11.

Loper, K. Alan & Thomas G. Lucas. (2012). CONSTRUCTING CHAINS OF PRIMES IN POWER SERIES RINGS, II. Journal of Algebra and Its Applications. 12(1). 1250123–1250123. 8 indexed citations

12.

Loper, K. Alan & Thomas G. Lucas. (2011). Constructing chains of primes in power series rings. Journal of Algebra. 334(1). 175–194. 13 indexed citations

13.

Fontana, Marco & K. Alan Loper. (2009). Cancellation properties in ideal systems: A classification of e.a.b. semistar operations. Journal of Pure and Applied Algebra. 213(11). 2095–2103. 14 indexed citations

14.

Loper, K. Alan & Moshe Roitman. (2004). The content of a Gaussian polynomial is invertible. Proceedings of the American Mathematical Society. 133(5). 1267–1271. 14 indexed citations

15.

Cahen, Paul-Jean, Jean-Luc Chabert, & K. Alan Loper. (2001). HIGH DIMENSION PRUFER DOMAINS OF INTEGER-VALUED POLYNOMIALS. Journal of the Korean Mathematical Society. 38(5). 915–935. 9 indexed citations

16.

Loper, K. Alan. (1999). Two Prüfer Domain Counterexamples. Journal of Algebra. 221(2). 630–643. 3 indexed citations

17.

Loper, K. Alan. (1997). Another Prüfer Ring of Integer-Valued Polynomials. Journal of Algebra. 187(1). 1–6.

18.

Loper, K. Alan. (1997). Ideals of integer-valued polynomial rings. Communications in Algebra. 25(3). 833–845. 6 indexed citations

19.

Loper, K. Alan. (1994). On Prüfer non-D-rings. Journal of Pure and Applied Algebra. 96(3). 271–278. 7 indexed citations

20.

Loper, K. Alan. (1993). A Note on Dedekind Non-D-Rings. Rocky Mountain Journal of Mathematics. 23(2). 1 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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