Irving Kaplansky

Livros

• Kaplansky, Irving (1954). Infinite Abelian groups. [S.l.: s.n.]  ed. revisada. 1971 com várias reimpressões posteriores
• —— (1955). An introduction to differential algebra. [S.l.]: University of Chicago Press  2nd edn. Paris: Hermann. 1957 
• —— (1966). Introdução à teoria de Galois, por I. Kaplansky. Pref. de Elon Lages Lima. [S.l.: s.n.] 
• —— (1968). Rings of operators. [S.l.: s.n.] 
• —— (1969). Fields and rings. [S.l.: s.n.]  2nd edn. 1972
• —— (1969). Linear algebra and geometry; a second course. [S.l.: s.n.]  ed. revisada. 1974
• —— (1970). Algebraic and analytic aspects of operator algebras. [S.l.: s.n.] ISBN 9780821816509 
• —— (1971). Lie Algebras and Locally Compact Groups. [S.l.]: University of Chicago Press. ISBN 0-226-42453-7  várias reimpressões posteriores
• —— (1972). Set theory and metric spaces. [S.l.: s.n.]  2nd edn. 1977
• —— (1974). Commutative Rings. Col: Lectures in Mathematics. [S.l.]: University of Chicago Press. ISBN 0-226-42454-5  1ª ed. 1966; revisado em 1974 com várias reimpressões posteriores

com I. N. Herstein: —— (1974). Matters mathematical. [S.l.]: New York, Harper & Row. ISBN 9780060428037  2nd edn. 1978

• Kaplansky, Irving (1995). Selected papers and other writings. [S.l.: s.n.] ISBN 9780387944067 

Artigos

• Kaplansky, Irving (1944). «Symbolic solution of certain problems in permutations». Bull. Amer. Math. Soc. 50 (12): 906–914. MR 0011393. doi:10.1090/s0002-9904-1944-08261-x 
• Kaplansky, Irving (1945). «A note on groups without isomorphic subgroups». Bull. Amer. Math. Soc. 51 (8): 529–530. MR 0012267. doi:10.1090/s0002-9904-1945-08382-7 
• with I. S. Cohen: Cohen, I. S.; Kaplansky, Irving (1946). «Rings with a finite number of primes. I». Trans. Amer. Math. Soc. 60: 468–477. MR 0019595. doi:10.1090/s0002-9947-1946-0019595-7 
• Kaplansky, Irving (1946). «On a problem of Kurosch and Jacobson». Bull. Amer. Math. Soc. 52 (6): 496–500. MR 0016758. doi:10.1090/s0002-9904-1946-08600-0 
• Kaplansky, Irving (1947). «Lattices of continuous functions». Bull. Amer. Math. Soc. 53 (6): 617–623. MR 0020715. doi:10.1090/s0002-9904-1947-08856-x 
• com Richard F. Arens: Arens, Richard F.; Kaplansky, Irving (1948). «Topological representations of algebras». Trans. Amer. Math. Soc. 63 (3): 457–481. MR 0025453. doi:10.1090/s0002-9947-1948-0025453-6 
• Kaplansky, Irving (1948). «Rings with a polynomial identity». Bull. Amer. Math. Soc. 54 (6): 575–580. MR 0025451. doi:10.1090/s0002-9904-1948-09049-8 
• «Topological rings». Bull. Amer. Math. Soc. 54: 909–916. 1948. MR 0027269. doi:10.1090/S0002-9904-1948-09096-6 
• Kaplansky, Irving (1949). «Elementary divisors and modules». Trans. Amer. Math. Soc. 66 (2): 464–491. MR 0031470. doi:10.1090/s0002-9947-1949-0031470-3 
• Kaplansky, I. (1949). «Primary ideals in group algebras». Proc Natl Acad Sci U S A. 35 (3): 133–136. Bibcode:1949PNAS...35..133K. PMC 1062983. PMID 16588871. doi:10.1073/pnas.35.3.133 
• Kaplansky, Irving (1950). «Topological representations of algebras. II». Trans. Amer. Math. Soc. 68: 62–75. MR 0032612. doi:10.1090/s0002-9947-1950-0032612-4 
• Kaplansky, Irving (1950). «The Weierstrass theorem in fields with valuations». Proc. Amer. Math. Soc. 1 (3): 356–357. MR 0035760. doi:10.1090/s0002-9939-1950-0035760-3 
• Kaplansky, Irving (1951). «The structure of certain operator algebras». Trans. Amer. Math. Soc. 70 (2): 219–255. MR 0042066. doi:10.1090/s0002-9947-1951-0042066-0 
• Kaplansky, Irving (1952). «Modules over Dedekind rings and valuations rings». Trans. Amer. Math. Soc. 72 (2): 327–340. MR 0046349. doi:10.1090/s0002-9947-1952-0046349-0 
• Kaplansky, Irving (1952). «Orthogonal similarity in infinite dimensional spaces». Proc. Amer. Math. Soc. 3: 16–25. MR 0046564. doi:10.1090/s0002-9939-1952-0046564-1 
• Kaplansky, Irving (1952). «Symmetry of Banach algebras». Proc. Amer. Math. Soc. 3 (3): 396–399. MR 0048711. doi:10.1090/s0002-9939-1952-0048711-4 
• Kaplansky, I. (1952). «Some results on abelian groups». Proc Natl Acad Sci U S A. 38 (6): 538–540. Bibcode:1952PNAS...38..538K. PMC 1063607. PMID 16589142. doi:10.1073/pnas.38.6.538 
• Kaplansky, Irving (1953). «Infinite dimensional quadratic forms admitting composition». Proc. Amer. Math. Soc. 4 (6): 956–960. MR 0059895. doi:10.1090/s0002-9939-1953-0059895-7 
• Kaplansky, Irving (1953). «Dual modules over a valuation ring. I». Proc. Amer. Math. Soc. 4 (2): 213–219. MR 0053092. doi:10.1090/s0002-9939-1953-0053092-7 
• Kaplansky, Irving (1958). «Lie algebras of characteristic p». Trans. Amer. Math. Soc. 89: 149–183. MR 0099359. doi:10.1090/s0002-9947-1958-0099359-7 
• Kaplansky, Irving (1962). «Decomposability of modules». Proc. Amer. Math. Soc. 13 (4): 532–535. MR 0137738. doi:10.1090/s0002-9939-1962-0137738-6 
• Kaplansky, Irving (1980). «Superalgebras». Pacific J. Math. 86 (1): 93–98. doi:10.2140/pjm.1980.86.93 
• Kaplansky, Irving (1994). «A quasi-commutative ring that is not neo-commutative». Proc. Amer. Math. Soc. 122: 321. MR 1257114. doi:10.1090/s0002-9939-1994-1257114-3 
• «The forms x+32y² and x+64y² ». Proc. Amer. Math. Soc. 131: 2299–2300. 2003. MR 1963780. doi:10.1090/s0002-9939-03-07022-9