References
S. A. Amitsur, An embedding of PI-rings. Proc. Amer. Math. Soc.3, 3–9 (1952).
S. A. Amitsur, Generalization of polynomial identities. Trans. Amer. Math. Soc.114, 210–226 (1965).
L. P. Belluce andS. K. Jain, Prime rings having one-sided ideal satisfying a polynomial identity. Pacific J. Math.24, 421–424 (1968).
L. P. Belluce andS. K. Jain, Rings with polynomial constraints. J. Indian Math. Soc.32, 79–87 (1968).
B. Eckmann undA. Schopf, Über injektive Moduln. Arch. Math.4, 75–78 (1953).
C.Faith, Lecture notes on Injective Modules and Quotient Rings. Berlin 1967.
A. W. Goldie, Semi-prime rings with maximum condition. Proc. London Math. Soc.10, 210–220 (1960).
I. N.Herstein, Topics in Ring Theory. Math. Lecture Notes, University Chicago 1961.
I. N. Herstein, Special simple rings with involution. J. Algebra6, 369–375 (1967).
S. K. Jain, Lecture notes on algebras satisfying a polynomial identity. Delhi University, Delhi 1968.
R. E. Johnson, The extended centralizer of a ring over a module. Proc. Amer. Math. Soc.2, 891–895 (1951).
R. E. Johnson, Structure theory of faithful rings II, Restricted rings. Trans. Amer. Math. Soc.84, 523–544 (1957).
R. E. Johnson, Quotient rings of rings with zero singular ideal. Pacific J. Math.11, 1385–1392 (1961).
R. E. Johnson andE. T. Wong, Self injective rings. Canad. Math. Bull.2, 167–173 (1959).
L. Levy, Unique subdirect sums of prime rings. Trans. Amer. Math. Soc.106, 64–76 (1963).
W. S. Martindale, Primitive algebras with involution. Pacific J. Math.11, 1431–1441 (1961).
W. E. Baxter andW. S. Martindale, Rings with involution and polynomial identities. Canad. J. Math.20, 465–473 (1968).
E. C. Posner, Prime rings satisfying a polynomial identity. Proc. Amer. Math. Soc.11, 180–183(1960).
L. Small, Artinian quotient rings. J. Algebra4, 13–41 (1966).
T. P. Kezlan, Rings in which certain subsets satisfy polynomial identity. Trans. Amer. Math. Soc.125, 414–421 (1966).
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Jain, S.K., Singh, S. Rings having one-sided ideals satisfying a polynomial identity. Arch. Math 20, 17–23 (1969). https://doi.org/10.1007/BF01898986
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DOI: https://doi.org/10.1007/BF01898986