Wallace Smith Martindale Explained

Wallace Smith Martindale III (born August 1930 in Philadelphia) is an American mathematician, known for Martindale's Theorem (1969) and the Martindale ring of quotients introduced in the proof of the theorem.^{[1] [2] [3]} His 1969 paper generalizes Posner's theorem and a theorem of Amitsur^[4] and gives an independent, unified proof of the two theorems.^[1]

Biography

Martindale received his Ph.D. in mathematics in 1958 from the University of Pennsylvania. He became a professor at the University of Massachusetts Amherst and retired there as professor emeritus in 1996.^[5]

He is the father of two daughters. When he was 81 years old, Martindale, with one of his daughters, climbed Mount Kilimanjaro.^[6]

Selected publications

Articles

• 10.1090/S0002-9939-1958-0098115-9. The structure of a special class of rings. 1958. Martindale. Wallace S.. Proceedings of the American Mathematical Society. 9. 5. 714. free.
• 10.1090/S0002-9939-1963-0160798-4. Lie isomorphisms of primitive rings. 1963. Martindale. Wallace S.. Proceedings of the American Mathematical Society. 14. 6. 909. free.
• 10.2307/1995366. 1995366. Lie Isomorphisms of Prime Rings. Martindale. Wallace S.. Transactions of the American Mathematical Society. 1969. 142. 437–455. free.
• Martindale 3rd, Wallace S.. Prime rings with involution and generalized polynomial identities. Journal of Algebra. 22. 3. 1972. 502–516. 10.1016/0021-8693(72)90164-0. free.
• 10.1090/S0002-9939-1973-0318215-3. On semiprime P. I. Rings. 1973. Martindale. Wallace S.. Proceedings of the American Mathematical Society. 40. 2. 365. free.
• 10.1080/00927877608822146. Lie isomorphisms of the skew elements of a prime ring with involution. 1976. Martindale 3rd. Wallace S.. Communications in Algebra. 4. 10. 929–977. 1975
• 10.1080/00927877908822394. Central closure of semiprime non-associative rings. 1979. Baxter. W.E.. Martindale III. W.S.. Communications in Algebra. 7. 11. 1103–1132.
• Baxter, W. E.. Martindale 3rd, W. S.. 1979. Jordan homomorphisms of semi prime rings. Journal of Algebra. 56. 2. 457–471. 10.1016/0021-8693(79)90349-1. free.
• 10.4153/CMB-1987-014-x. free. Centralizing Mappings of Semiprime Rings. 1987. Bell. H. E.. Martindale. W. S.. Canadian Mathematical Bulletin. 30. 92–101.
• 10.1017/S0017089500009459. Extended centroids of power series rings. 1990. Martindale. W. S.. Rosen. M. P.. Rosen. J. D.. Glasgow Mathematical Journal. 32. 3. 371–375. free.
• 10.1006/jabr.1993.1223. Centralizing Maps in Prime Rings with Involution. 1993. Bresar. M.. Martindale. W.S.. Miers. C.R.. Journal of Algebra. 161. 2. 342–357. 1828/2661. free.
• 10.1080/00927879808826120. Maps preserving nth powers. 1998. Brešar. Matej. Martindale. W.S.. Miers. Robert C.. Communications in Algebra. 26. 117–138. 1828/2826. free.
• 10.1006/jabr.1997.7285. On Functional Identities in Prime Rings with Involution. 1998. Beidar. K.I.. Martindale. W.S.. Journal of Algebra. 203. 2. 491–532. free.
• Beidar. K. I.. Brešar. M.. Chebotar. M. A.. Martindale. W. S.. On Herstein's Lie map conjectures, I. Transactions of the American Mathematical Society. 353. 10. 2001. 4235–4260. 0002-9947. 10.1090/S0002-9947-01-02731-3. free.
• 10.1006/jabr.2000.8628. On Herstein's Lie Map Conjectures, II. 2001. Beidar. K.I. Brešar. M.. Chebotar. M.A. Martindale. W.S. Journal of Algebra. 238. 239–264. free.
• Beidar. K.I.. Brešar. M.. Chebotar. M.A.. Martindale. W.S.. On Herstein's Lie Map Conjectures, III. Journal of Algebra. 249. 1. 2002. 59–94. 0021-8693. 10.1006/jabr.2001.9076. free.
• 10.1081/AGB-120039626. Multiplicative Semiprimeness of Skew Lie Algebras. 2004. Cabello. J. C.. Cabrera. M.. López. G.. Martindale. W. S.. Communications in Algebra. 32. 9. 3487–3501. 120393064.
• Book: Martindale 3rd, W. S.. July 2007. Lie maps in prime rings: a personal perspective. Rings and Nearrings: Proceedings of the International Conference on Algebra, in Memory of Kostia Beidar, Tainan, Taiwan, March 6-12, 2005. 95–110. Walter De Gruyter Inc.. 9783110912166. https://books.google.com/books?id=ws0P_DjUBxwC&pg=PA95.

Books

• Book: Rings with Generalized Identities. 9780824793258. Beidar. Konstant I.. Martindale. Wallace S.. Mikhalev. Alexander V.. 17 November 1995.
• Book: Functional Identities. 9783764377960. Brešar. Matej. Chebotar. Mikhail A.. Martindale. Wallace S.. 8 August 2007.

References

1. Martindale 3rd, Wallace S.. Prime rings satisfying a generalized polynomial identity. Journal of Algebra. 12. 4. 1969. 576–584. 10.1016/0021-8693(69)90029-5. free.
2. Book: Rowen, Louis H.. Ring Theory, Volume I. 345. June 1988. 9780080874463.
3. Book: Algebra II: Noncommutative Rings Identities. 79. 9783642728990. Kostrikin, A. I.. Shafarevich, I. R.. 6 December 2012.
4. Amitsur. S. A.. Generalized Polynomial Identities and Pivotal Monomials. Transactions of the American Mathematical Society. 114. 1. 1965. 210–226. 0002-9947. 10.2307/1993998. 1993998. free.
5. Web site: Mathematics and Statistics Faculty, 2005/2006 Graduate School Bulletin. University of Massachusetts Amherst.
6. Web site: WHYY Philadelphia (public FM radio station). July 2012. Mt. Airy native climbs Mt. Kilimanjaro at the age of 81.