Contents of Volume 31, Number 2
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- The independence of certain axioms of structures in sets
- Japheth Hall
- Proc. Amer. Math. Soc. 31 (1972), 317-325
- DOI: https://doi.org/10.1090/S0002-9939-1972-0291047-X
- Separation of nonassociates by valuations
- David E. Brown and Max D. Larsen
- Proc. Amer. Math. Soc. 31 (1972), 326-332
- DOI: https://doi.org/10.1090/S0002-9939-1972-0289506-9
- Solution of certain matrix equations
- John Jones
- Proc. Amer. Math. Soc. 31 (1972), 333-339
- DOI: https://doi.org/10.1090/S0002-9939-1972-0292863-0
- Representations of Euler classes
- Howard Osborn
- Proc. Amer. Math. Soc. 31 (1972), 340-346
- DOI: https://doi.org/10.1090/S0002-9939-1972-0300303-8
- Divinsky’s radical
- Patrick N. Stewart
- Proc. Amer. Math. Soc. 31 (1972), 347-353
- DOI: https://doi.org/10.1090/S0002-9939-1972-0286823-3
- Some applications of differential algebra to ring theory
- John Cozzens and Joseph Johnson
- Proc. Amer. Math. Soc. 31 (1972), 354-356
- DOI: https://doi.org/10.1090/S0002-9939-1972-0289472-6
- A note on zero divisors in group-rings
- Jacques Lewin
- Proc. Amer. Math. Soc. 31 (1972), 357-359
- DOI: https://doi.org/10.1090/S0002-9939-1972-0292957-X
- On groups of exponent four. II
- C. K. Gupta and N. D. Gupta
- Proc. Amer. Math. Soc. 31 (1972), 360-362
- DOI: https://doi.org/10.1090/S0002-9939-1972-0289631-2
- The Lie algebra of the structure group of a power-associative algebra.
- D. R. Scribner
- Proc. Amer. Math. Soc. 31 (1972), 363-367
- DOI: https://doi.org/10.1090/S0002-9939-1972-0288154-4
- Algebraic algebras with involution
- Susan Montgomery
- Proc. Amer. Math. Soc. 31 (1972), 368-372
- DOI: https://doi.org/10.1090/S0002-9939-1972-0288149-0
- A generalization of Mori’s theorem
- Chin-pi Lu
- Proc. Amer. Math. Soc. 31 (1972), 373-375
- DOI: https://doi.org/10.1090/S0002-9939-1972-0286786-0
- On algebras satisfying the identity $(yx)x+x(xy)=2(xy)x$
- Robert A. Chaffer
- Proc. Amer. Math. Soc. 31 (1972), 376-380
- DOI: https://doi.org/10.1090/S0002-9939-1972-0288153-2
- The class number of $Q(\surd -p)$, for $P\equiv 1 (\textrm {mod}\ 8)$ a prime
- Ezra Brown
- Proc. Amer. Math. Soc. 31 (1972), 381-383
- DOI: https://doi.org/10.1090/S0002-9939-1972-0289455-6
- Dirichlet $L$-functions and primitive characters
- Tom M. Apostol
- Proc. Amer. Math. Soc. 31 (1972), 384-386
- DOI: https://doi.org/10.1090/S0002-9939-1972-0285499-9
- The distribution of absolutely irreducible polynomials in several indeterminates
- M. L. Fredman
- Proc. Amer. Math. Soc. 31 (1972), 387-390
- DOI: https://doi.org/10.1090/S0002-9939-1972-0286779-3
- Union conditions in Noether lattices
- Johnny A. Johnson
- Proc. Amer. Math. Soc. 31 (1972), 391-394
- DOI: https://doi.org/10.1090/S0002-9939-1972-0294188-6
- Which abelian groups can support a directed, interpolation order?
- A. M. W. Glass
- Proc. Amer. Math. Soc. 31 (1972), 395-400
- DOI: https://doi.org/10.1090/S0002-9939-1972-0289389-7
- Characterization of rings using quasiprojective modules. III
- Jonathan S. Golan
- Proc. Amer. Math. Soc. 31 (1972), 401-408
- DOI: https://doi.org/10.1090/S0002-9939-1972-0302700-3
- An embedding theorem for commutative lattice-ordered domains
- Stuart A. Steinberg
- Proc. Amer. Math. Soc. 31 (1972), 409-416
- DOI: https://doi.org/10.1090/S0002-9939-1972-0285464-1
- Separating $p$-bases and transcendental extension fields
- J. N. Mordeson and B. Vinograde
- Proc. Amer. Math. Soc. 31 (1972), 417-422
- DOI: https://doi.org/10.1090/S0002-9939-1972-0289465-9
- An extension of the Noether-Deuring theorem
- Klaus W. Roggenkamp
- Proc. Amer. Math. Soc. 31 (1972), 423-426
- DOI: https://doi.org/10.1090/S0002-9939-1972-0286839-7
- Determination of $k_{n} (n\geq 3)$ for global fields
- Richard Elman and T.-Y. Lam
- Proc. Amer. Math. Soc. 31 (1972), 427-428
- DOI: https://doi.org/10.1090/S0002-9939-1972-0289604-X
- A note on finitely generated ideals which are locally principal
- James W. Brewer and Edgar A. Rutter
- Proc. Amer. Math. Soc. 31 (1972), 429-432
- DOI: https://doi.org/10.1090/S0002-9939-1972-0289480-5
- On the exponent of the ideal class groups of complex quadratic fields.
- David W. Boyd and H. Kisilevsky
- Proc. Amer. Math. Soc. 31 (1972), 433-436
- DOI: https://doi.org/10.1090/S0002-9939-1972-0289454-4
- Monotonicity of positive semidefinite Hermitian matrices
- Russell Merris and Stephen Pierce
- Proc. Amer. Math. Soc. 31 (1972), 437-440
- DOI: https://doi.org/10.1090/S0002-9939-1972-0285556-7
- On the existence of fixed points in a totally ordered set
- F. T. Metcalf and T. H. Payne
- Proc. Amer. Math. Soc. 31 (1972), 441-444
- DOI: https://doi.org/10.1090/S0002-9939-1972-0286722-7
- Principal ideals in the ideal lattice
- H. Subramanian
- Proc. Amer. Math. Soc. 31 (1972), 445
- DOI: https://doi.org/10.1090/S0002-9939-1972-0284424-4
- Starlike meromorphic functions
- James Miller
- Proc. Amer. Math. Soc. 31 (1972), 446-452
- DOI: https://doi.org/10.1090/S0002-9939-1972-0288267-7
- Positive solutions of positive linear equations
- Paul Nelson
- Proc. Amer. Math. Soc. 31 (1972), 453-457
- DOI: https://doi.org/10.1090/S0002-9939-1972-0288605-5
- The spectra of unbounded hyponormal operators
- C. R. Putnam
- Proc. Amer. Math. Soc. 31 (1972), 458-464
- DOI: https://doi.org/10.1090/S0002-9939-1972-0291848-8
- Isometries of $H^{p}$ spaces of the torus
- Nand Lal and Samuel Merrill
- Proc. Amer. Math. Soc. 31 (1972), 465-471
- DOI: https://doi.org/10.1090/S0002-9939-1972-0296676-5
- A representation theorem for $L^{p}$ spaces
- Marek Kanter
- Proc. Amer. Math. Soc. 31 (1972), 472-474
- DOI: https://doi.org/10.1090/S0002-9939-1972-0290088-6
- On the smoothness of eigenfunctions of hyponormal singular integral operators
- Kevin Clancey
- Proc. Amer. Math. Soc. 31 (1972), 475-479
- DOI: https://doi.org/10.1090/S0002-9939-1972-0284873-4
- Stone’s theorem for a group of unitary operators over a Hilbert space
- Habib Salehi
- Proc. Amer. Math. Soc. 31 (1972), 480-484
- DOI: https://doi.org/10.1090/S0002-9939-1972-0300128-3
- Measurability of functions in product spaces
- Kohur Gowrisankaran
- Proc. Amer. Math. Soc. 31 (1972), 485-488
- DOI: https://doi.org/10.1090/S0002-9939-1972-0291403-X
- A uniform asymptotic turning point theory for second order linear ordinary differential equations
- Erich Zauderer
- Proc. Amer. Math. Soc. 31 (1972), 489-494
- DOI: https://doi.org/10.1090/S0002-9939-1972-0288365-8
- Equivalent types of invariant means on locally compact groups
- P. F. Renaud
- Proc. Amer. Math. Soc. 31 (1972), 495-498
- DOI: https://doi.org/10.1090/S0002-9939-1972-0304974-1
- On asymptotic behavior of perturbed nonlinear systems
- R. E. Fennell and T. G. Proctor
- Proc. Amer. Math. Soc. 31 (1972), 499-504
- DOI: https://doi.org/10.1090/S0002-9939-1972-0287099-3
- Multiplier operators on $B^{\ast }$-algebras
- B. D. Malviya and B. J. Tomiuk
- Proc. Amer. Math. Soc. 31 (1972), 505-510
- DOI: https://doi.org/10.1090/S0002-9939-1972-0305085-1
- Dual necklaces of $n$-dimensional cubes
- Kenneth Kalmanson
- Proc. Amer. Math. Soc. 31 (1972), 511-516
- DOI: https://doi.org/10.1090/S0002-9939-1972-0285993-0
- Extending congruence relations
- Peter Krauss
- Proc. Amer. Math. Soc. 31 (1972), 517-520
- DOI: https://doi.org/10.1090/S0002-9939-1972-0285470-7
- A property of arithmetic sets
- Hisao Tanaka
- Proc. Amer. Math. Soc. 31 (1972), 521-524
- DOI: https://doi.org/10.1090/S0002-9939-1972-0286661-1
- Elementary extensions of linear topological abelian groups
- R. G. Phillips and P. L. Sperry
- Proc. Amer. Math. Soc. 31 (1972), 525-528
- DOI: https://doi.org/10.1090/S0002-9939-1972-0288212-4
- The Wall invariant of certain $S^{1}$ bundles
- Douglas R. Anderson
- Proc. Amer. Math. Soc. 31 (1972), 529-535
- DOI: https://doi.org/10.1090/S0002-9939-1972-0287545-5
- The bordism ring of manifolds with involution
- J. C. Alexander
- Proc. Amer. Math. Soc. 31 (1972), 536-542
- DOI: https://doi.org/10.1090/S0002-9939-1972-0290379-9
- A product theorem for $H$-group fibrations
- F. H. Croom
- Proc. Amer. Math. Soc. 31 (1972), 543-549
- DOI: https://doi.org/10.1090/S0002-9939-1972-0290368-4
- The hyperspace of a pseudoarc is a Cantor manifold
- Togo Nishiura and Choon Jai Rhee
- Proc. Amer. Math. Soc. 31 (1972), 550-556
- DOI: https://doi.org/10.1090/S0002-9939-1972-0290337-4
- An index for set-valued maps in infinite-dimensional spaces
- Stephen A. Williams
- Proc. Amer. Math. Soc. 31 (1972), 557-563
- DOI: https://doi.org/10.1090/S0002-9939-1972-0287535-2
- Equivariant bordism and cyclic groups
- Peter S. Landweber
- Proc. Amer. Math. Soc. 31 (1972), 564-570
- DOI: https://doi.org/10.1090/S0002-9939-1972-0296969-1
- Regular compactifications of convergence spaces
- G. D. Richardson and D. C. Kent
- Proc. Amer. Math. Soc. 31 (1972), 571-573
- DOI: https://doi.org/10.1090/S0002-9939-1972-0286074-2
- On the countably generated $z$-ideals of $C(X)$
- G. De Marco
- Proc. Amer. Math. Soc. 31 (1972), 574-576
- DOI: https://doi.org/10.1090/S0002-9939-1972-0288563-3
- A compactification of locally compact spaces
- F. W. Lozier
- Proc. Amer. Math. Soc. 31 (1972), 577-579
- DOI: https://doi.org/10.1090/S0002-9939-1972-0286072-9
- $H$-spaces which are co-$H$-spaces
- Robert W. West
- Proc. Amer. Math. Soc. 31 (1972), 580-582
- DOI: https://doi.org/10.1090/S0002-9939-1972-0285006-0
- Sets accessible at each point only by wild arcs
- Gary Glenn Miller
- Proc. Amer. Math. Soc. 31 (1972), 583-590
- DOI: https://doi.org/10.1090/S0002-9939-1972-0284992-2
- Rigid pairs of long arcs
- Gary G. Miller
- Proc. Amer. Math. Soc. 31 (1972), 591-594
- DOI: https://doi.org/10.1090/S0002-9939-1972-0290336-2
- Fixed point theorems for certain classes of multifunctions
- R. E. Smithson
- Proc. Amer. Math. Soc. 31 (1972), 595-600
- DOI: https://doi.org/10.1090/S0002-9939-1972-0288750-4
- On Spanier’s higher order operations
- Yuh-ching Chen
- Proc. Amer. Math. Soc. 31 (1972), 601-604
- DOI: https://doi.org/10.1090/S0002-9939-1972-0288758-9
- An algebraic proof that $[\Omega ^{U}]_{2}=\mathfrak {N}^{2}$
- Don Porter
- Proc. Amer. Math. Soc. 31 (1972), 605-608
- DOI: https://doi.org/10.1090/S0002-9939-1972-0288773-5
- Products of uncountably many $k$-spaces
- N. Noble
- Proc. Amer. Math. Soc. 31 (1972), 609-612
- DOI: https://doi.org/10.1090/S0002-9939-1972-0287503-0
- $C$-embedded subsets of products
- N. Noble
- Proc. Amer. Math. Soc. 31 (1972), 613-614
- DOI: https://doi.org/10.1090/S0002-9939-1972-0284978-8
- Pseudo-isotopies of arcs and knots
- Carl D. Sikkema
- Proc. Amer. Math. Soc. 31 (1972), 615-616
- DOI: https://doi.org/10.1090/S0002-9939-1972-0286094-8
- Inadequacy of ordinary homology theory
- T. Y. Lin
- Proc. Amer. Math. Soc. 31 (1972), 617-619
- DOI: https://doi.org/10.1090/S0002-9939-1972-0307241-5
- A note on one-dimensional attracting sets in the three-sphere
- Joel C. Gibbons
- Proc. Amer. Math. Soc. 31 (1972), 620-622
- DOI: https://doi.org/10.1090/S0002-9939-1972-0292109-3
- A decomposition theorem for closed compact connected P. L. $n$-manifolds
- B. G. Casler
- Proc. Amer. Math. Soc. 31 (1972), 623-624
- DOI: https://doi.org/10.1090/S0002-9939-1972-0290372-6
- Quotient groups of topological groups with no small subgroups
- Sidney A. Morris
- Proc. Amer. Math. Soc. 31 (1972), 625-626
- DOI: https://doi.org/10.1090/S0002-9939-1972-0293000-9
- Another fixed point theorem for plane continua
- Charles L. Hagopian
- Proc. Amer. Math. Soc. 31 (1972), 627-628
- DOI: https://doi.org/10.1090/S0002-9939-1972-0286093-6
- A holomorphic function having a discontinuous inverse
- T. J. Suffridge
- Proc. Amer. Math. Soc. 31 (1972), 629-630
- DOI: https://doi.org/10.1090/S0002-9939-1972-0284813-8
- Pólya’s property $W$ and factorization—A short proof
- Robert Ristroph
- Proc. Amer. Math. Soc. 31 (1972), 631-632
- DOI: https://doi.org/10.1090/S0002-9939-1972-0288338-5
- Cyclic vectors of induced representations
- A. Hulanicki and T. Pytlik
- Proc. Amer. Math. Soc. 31 (1972), 633-634
- DOI: https://doi.org/10.1090/S0002-9939-1972-0289717-2
- Spherical images of convex surfaces
- M. do Carmo and B. Lawson
- Proc. Amer. Math. Soc. 31 (1972), 635-636
- DOI: https://doi.org/10.1090/S0002-9939-1972-0293548-7
- Vanishing of Stiefel-Whitney classes
- W. A. Sutherland
- Proc. Amer. Math. Soc. 31 (1972), 637
- DOI: https://doi.org/10.1090/S0002-9939-1972-0292081-6
- Erratum to Volume 27; Erratum to Volume 29
- Proc. Amer. Math. Soc. 31 (1972), 638-638
- DOI: https://doi.org/10.1090/S0002-9939-72-99955-8