Anthony Joseph Penico

Anthony "Tony" Joseph Penico (June 11, 1923, Philadelphia – November 19, 2011, Missouri) was an American mathematician and engineer. He is known for the Penico theorem,[1] Penico solvability, and Penico series.[2][3] After graduating from South Philadelphia High School, Penico was awarded scholarships to the University of Pennsylvania. There he graduated in 1946 with a bachelor's degree in physics and in 1950 with a Ph.D. in mathematics.[4] His dissertation, written under the supervision of Richard D. Schafer, is entitled The Wedderburn Principal Theorem for Jordan Algebras.[5] The theorem, which generalizes a theorem of A. A. Albert, was published in the Transactions of the American Mathematical Society in 1951.[1] At the 1950 meeting of the International Congress of Mathematicians he was an approved (but not an invited) speaker.[6] In October 1969 he contributed a paper Functional-analysis identities for biadditive mappings on modules with non-associative scalars to the 668th meeting of the American Mathematical Society.[7]

After receiving his Ph.D., Penico moved with his wife to the Boston area, where he taught mathematics at Tufts College. In the mid-1950s the family moved to Northern California, where he worked as a Senior Engineering Specialist at the GTE's Research Laboratories. In the early 1960s, he became a Senior Research Mathematician at the Stanford Research Institute and also taught part-time at the University of California, Berkeley and at Stanford University. In 1966 Penico became a Professor of Mathematics at the University of Missouri–Rolla (which in 2008 was renamed the Missouri University of Science and Technology). He retired as professor emeritus in 1986.[4]

In 1948 he married Eva Yaremko (1925–2017). They had two sons, David Anthony Penico (1952–2008) and Stephen John Penico (born 1956). Anthony J. Penico died in 2011.[4]

## Selected publications

* Fundingsland, O. T.; Faire, A. C.; Penico, A. J. (1954). "Laboratory studies of slow electron colliisions in gases by microwave methods". Rocket Exploration of the Upper Atmosphere, Special Supplement to the Journal of Atmospheric and Terrestrial Physics. New York: Interscience Publishers. p. 339. Bibcode: 1954reua.conf..339F.
* Penico, A. J. (1961). Mathematical Methods in the Study of Wave Propagation in Inhomogeneous Media. Microwave Physics Lab, Mountain View, Ca., report AD0274125 to Defense Defense Information Center. https://apps.dtic.mil/sti/citations/AD0274125.
* Penico, A.J. (1961). "Propagation of electromagnetic waves in a plasma with an inhomogeneous electron density". Planetary and Space Science 6: 222. doi:10.1016/0032-0633(61)90026-5.
* Penico, A. J.; Stanojević, Č. V. (1980). "An integral analogue to parallelogram law". Proceedings of the American Mathematical Society 79 (3): 427. doi:10.1090/S0002-9939-1980-0567985-1.

## References

1. ↑ 1.0 1.1 Penico, A. J. (1951). "The Wedderburn principal theorem for Jordan algebras". Transactions of the American Mathematical Society 70 (3): 404. doi:10.1090/S0002-9947-1951-0041120-7. ISSN 0002-9947.
2. ↑ Jacobson, Nathan (31 December 1968). Structure and Representations of Jordan Algebras. American Mathematical Soc.. p. 332. ISBN 978-0-8218-4640-7. https://books.google.com/books?id=aAGWAwAAQBAJ&pg=PA332.
3. ↑ McCrimmon, Kevin (1983). "Strong nilpotence of solvable ideals in quadratic Jordan algebras". Journal of Algebra 81 (2): 488–507. doi:10.1016/0021-8693(83)90199-0. https://core.ac.uk/download/pdf/81173199.pdf.
4. ↑ 4.0 4.1 4.2 "Attachment B. (Obituary) Dr. Anthony Joseph (Tony) Penico; General Faculty Meeting Minutes". May 1, 2012. https://registrar.mst.edu/media/administrative/registrar/documents/faculty/May 1 2012.pdf.
5. ↑ Anthony Joseph Penico at the Mathematics Genealogy Project
6. ↑ "On the structure of standard algebras by A. J. Penico". Proc. International Congress of Mathematicians, Cambridge, Mass. 1. 1950. p. 320.
7. ↑ "October 25, 1969, Cambridge, Massachusetts Meeting; Program of the Sessions; Abstracts of the Meeting; Functional-analysis identities for biadditive mappings on modules with non-associative scalars by Anthony J. Penico". Notices of the American Mathematical Society 16 (6): 875 & 952. October 1969. https://www.ams.org/journals/notices/196910/196910FullIssue.pdf.

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