Proceedings of the American Mathematical Society

Published by the American Mathematical Society since 1950, Proceedings of the American Mathematical Society is devoted to shorter research articles in all areas of pure and applied mathematics.

ISSN 1088-6826 (online) ISSN 0002-9939 (print)

The 2024 MCQ for Proceedings of the American Mathematical Society is 0.85.

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Contents of Volume 34, Number 2
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An embedding theorem for compact semilattices: J. W. Lea; Proc. Amer. Math. Soc. 34 (1972), 325-331; DOI: https://doi.org/10.1090/S0002-9939-1972-0437407-5; PDF

A fundamental matrix equation for finite sets: H. J. Ryser; Proc. Amer. Math. Soc. 34 (1972), 332-336; DOI: https://doi.org/10.1090/S0002-9939-1972-0294151-5; PDF

The solvability of the equation $ax^{2}+by^{2}=c$ in quadratic fields: Neal Plotkin; Proc. Amer. Math. Soc. 34 (1972), 337-339; DOI: https://doi.org/10.1090/S0002-9939-1972-0297736-5; PDF

Permutable pronormal subgroups: Ti Yen; Proc. Amer. Math. Soc. 34 (1972), 340-342; DOI: https://doi.org/10.1090/S0002-9939-1972-0311788-5; PDF

On free products of finite abelian groups: Michael Anshel and Robert Prener; Proc. Amer. Math. Soc. 34 (1972), 343-345; DOI: https://doi.org/10.1090/S0002-9939-1972-0302768-4; PDF

Representation of the projectable and strongly projectable hulls of a lattice-ordered group: Donald A. Chambless; Proc. Amer. Math. Soc. 34 (1972), 346-350; DOI: https://doi.org/10.1090/S0002-9939-1972-0295990-7; PDF

Permanent groups: Leroy B. Beasley and Larry Cummings; Proc. Amer. Math. Soc. 34 (1972), 351-355; DOI: https://doi.org/10.1090/S0002-9939-1972-0419474-8; PDF

On a question of Erdős concerning cohesive basic sequences: D. L. Goldsmith and A. A. Gioia; Proc. Amer. Math. Soc. 34 (1972), 356-358; DOI: https://doi.org/10.1090/S0002-9939-1972-0294285-5; PDF

Distributive sublattices of a lattice: M. Kolibiar; Proc. Amer. Math. Soc. 34 (1972), 359-364; DOI: https://doi.org/10.1090/S0002-9939-1972-0294189-8; PDF

On convolutions with the Möbius function: S. L. Segal; Proc. Amer. Math. Soc. 34 (1972), 365-372; DOI: https://doi.org/10.1090/S0002-9939-1972-0299572-2; PDF

Balanced and $QF-1$ algebras: V. P. Camillo and K. R. Fuller; Proc. Amer. Math. Soc. 34 (1972), 373-378; DOI: https://doi.org/10.1090/S0002-9939-1972-0306256-0; PDF

A normal form in the homeotopy group of a surface of genus $2$, with applications to $3$-manifolds: Joan S. Birman; Proc. Amer. Math. Soc. 34 (1972), 379-384; DOI: https://doi.org/10.1090/S0002-9939-1972-0295308-X; PDF

The pseudoinverse of an $r$-circulant matrix: W. T. Stallings and T. L. Boullion; Proc. Amer. Math. Soc. 34 (1972), 385-388; DOI: https://doi.org/10.1090/S0002-9939-1972-0296082-3; PDF

Torsion theories over semiperfect rings: Edgar A. Rutter; Proc. Amer. Math. Soc. 34 (1972), 389-395; DOI: https://doi.org/10.1090/S0002-9939-1972-0297819-X; PDF

The Morse lemma on Banach spaces: A. J. Tromba; Proc. Amer. Math. Soc. 34 (1972), 396-402; DOI: https://doi.org/10.1090/S0002-9939-1972-0295395-9; PDF

Pólya peaks and the oscillation of positive functions: David Drasin and Daniel F. Shea; Proc. Amer. Math. Soc. 34 (1972), 403-411; DOI: https://doi.org/10.1090/S0002-9939-1972-0294580-X; PDF

Completely positive maps on $U^{\ast }$-algebras: W. L. Paschke; Proc. Amer. Math. Soc. 34 (1972), 412-416; DOI: https://doi.org/10.1090/S0002-9939-1972-0300103-9; PDF

A note on the $2/3$ conjecture for starlike functions: Carl P. McCarty and David E. Tepper; Proc. Amer. Math. Soc. 34 (1972), 417-421; DOI: https://doi.org/10.1090/S0002-9939-1972-0304632-3; PDF

The location of the zeros of the derivatives of Faber polynomials: J. L. Ullman; Proc. Amer. Math. Soc. 34 (1972), 422-424; DOI: https://doi.org/10.1090/S0002-9939-1972-0299761-7; PDF

A characterization of strongly measurable Pettis integrable functions: J. J. Uhl; Proc. Amer. Math. Soc. 34 (1972), 425-427; DOI: https://doi.org/10.1090/S0002-9939-1972-0316675-4; PDF

On nonstrongly regular matrices: J. Bazinet and J. A. Siddiqi; Proc. Amer. Math. Soc. 34 (1972), 428-432; DOI: https://doi.org/10.1090/S0002-9939-1972-0294935-3; PDF

Finitely generated submodules of differentiable functions: B. Roth; Proc. Amer. Math. Soc. 34 (1972), 433-439; DOI: https://doi.org/10.1090/S0002-9939-1972-0300072-1; PDF

An extension of a result by Talalyan on the representation of measurable functions by Schauder bases: Ben-Ami Braun; Proc. Amer. Math. Soc. 34 (1972), 440-446; DOI: https://doi.org/10.1090/S0002-9939-1972-0295070-0; PDF

On the Weyl spectrum of a Hilbert space operator: John V. Baxley; Proc. Amer. Math. Soc. 34 (1972), 447-452; DOI: https://doi.org/10.1090/S0002-9939-1972-0298444-7; PDF

On topological properties of sets admitting varisolvent functions: D. Braess; Proc. Amer. Math. Soc. 34 (1972), 453-456; DOI: https://doi.org/10.1090/S0002-9939-1972-0301431-3; PDF

On modular complemented and annihilator algebras: T. Husain and Pak Ken Wong; Proc. Amer. Math. Soc. 34 (1972), 457-462; DOI: https://doi.org/10.1090/S0002-9939-1972-0300088-5; PDF

The differentiability of Riemann’s functions: A. Smith; Proc. Amer. Math. Soc. 34 (1972), 463-468; DOI: https://doi.org/10.1090/S0002-9939-1972-0308337-4; PDF

Geöcze area and a convergence property: Ronald Gariepy; Proc. Amer. Math. Soc. 34 (1972), 469-474; DOI: https://doi.org/10.1090/S0002-9939-1972-0297974-1; PDF

$L^{p}$-convolution operators supported by subgroups: Charles F. Dunkl and Donald E. Ramirez; Proc. Amer. Math. Soc. 34 (1972), 475-478; DOI: https://doi.org/10.1090/S0002-9939-1972-0296215-9; PDF

On existence and a dominated convergence theorem for weighted $g$-summability: Fred M. Wright and Melvin L. Klasi; Proc. Amer. Math. Soc. 34 (1972), 479-488; DOI: https://doi.org/10.1090/S0002-9939-1972-0296223-8; PDF

On the accumulation of the zeros of a Blaschke product at a boundary point: David Protas; Proc. Amer. Math. Soc. 34 (1972), 489-496; DOI: https://doi.org/10.1090/S0002-9939-1972-0294645-2; PDF

Equivalent conditions for the $L_{p}$ convolution theorem on semisimple groups: Ronald L. Lipsman; Proc. Amer. Math. Soc. 34 (1972), 497-503; DOI: https://doi.org/10.1090/S0002-9939-1972-0310557-X; PDF

Minimal surfaces with constant Gauss curvature: Bang-yen Chen; Proc. Amer. Math. Soc. 34 (1972), 504-508; DOI: https://doi.org/10.1090/S0002-9939-1972-0296828-4; PDF

A note on model complete models and generic models: Saharon Shelah; Proc. Amer. Math. Soc. 34 (1972), 509-514; DOI: https://doi.org/10.1090/S0002-9939-1972-0294114-X; PDF

Linear processes generated by independent random variables: W. A. Woyczyński; Proc. Amer. Math. Soc. 34 (1972), 515-520; DOI: https://doi.org/10.1090/S0002-9939-1972-0326812-3; PDF

On a subclass of square integrable martingales: Dean Isaacson; Proc. Amer. Math. Soc. 34 (1972), 521-526; DOI: https://doi.org/10.1090/S0002-9939-1972-0295432-1; PDF

Homology of a fibration over an aspherical space: Yasutoshi Nomura; Proc. Amer. Math. Soc. 34 (1972), 527-533; DOI: https://doi.org/10.1090/S0002-9939-1972-0296944-7; PDF

A note on paired fibrations: Patricia Tulley McAuley; Proc. Amer. Math. Soc. 34 (1972), 534-540; DOI: https://doi.org/10.1090/S0002-9939-1972-0423336-X; PDF

Irreducible $3$-manifolds whose orientable covers are not prime: W. H. Row; Proc. Amer. Math. Soc. 34 (1972), 541-545; DOI: https://doi.org/10.1090/S0002-9939-1972-0296947-2; PDF

Local triviality of fiberings: Soon-kyu Kim; Proc. Amer. Math. Soc. 34 (1972), 546-552; DOI: https://doi.org/10.1090/S0002-9939-1972-0298662-8; PDF

Extending a complete convex metric: Robert A. Dooley; Proc. Amer. Math. Soc. 34 (1972), 553-559; DOI: https://doi.org/10.1090/S0002-9939-1972-0298627-6; PDF

A symmetrizable space that is not perfect: Dennis A. Bonnett; Proc. Amer. Math. Soc. 34 (1972), 560-564; DOI: https://doi.org/10.1090/S0002-9939-1972-0295275-9; PDF

Lattice-invariant topological properties: P. L. Sharma; Proc. Amer. Math. Soc. 34 (1972), 565-569; DOI: https://doi.org/10.1090/S0002-9939-1972-0295277-2; PDF

Some examples of nonfinite diffeomorphism groups: Terry C. Lawson; Proc. Amer. Math. Soc. 34 (1972), 570-572; DOI: https://doi.org/10.1090/S0002-9939-1972-0298697-5; PDF

Subsequential limit points of successive approximations: L. F. Guseman and J. L. Solomon; Proc. Amer. Math. Soc. 34 (1972), 573-577; DOI: https://doi.org/10.1090/S0002-9939-1972-0298640-9; PDF

Some theorems on Fredholm maps: A. J. Tromba; Proc. Amer. Math. Soc. 34 (1972), 578-585; DOI: https://doi.org/10.1090/S0002-9939-1972-0298713-0; PDF

Morse theory on Kähler homogeneous spaces: George D. Parker; Proc. Amer. Math. Soc. 34 (1972), 586-590; DOI: https://doi.org/10.1090/S0002-9939-1972-0298705-1; PDF

Shift dynamical systems over finite fields: Melvyn B. Nathanson; Proc. Amer. Math. Soc. 34 (1972), 591-594; DOI: https://doi.org/10.1090/S0002-9939-1972-0295321-2; PDF

Differentiable semigroups with a neighborhood of the identity homeomorphic to a Banach space: J. W. Neuberger; Proc. Amer. Math. Soc. 34 (1972), 595-600; DOI: https://doi.org/10.1090/S0002-9939-1972-0296208-1; PDF

Applications of homotopy in sheaf theory: James M. Parks; Proc. Amer. Math. Soc. 34 (1972), 601-604; DOI: https://doi.org/10.1090/S0002-9939-1972-0451233-2; PDF

Discrete subsets of perfectly normal spaces: R. M. Stephenson; Proc. Amer. Math. Soc. 34 (1972), 605-608; DOI: https://doi.org/10.1090/S0002-9939-1972-0296885-5; PDF

The space of retractions of a $2$-manifold: Neal R. Wagner; Proc. Amer. Math. Soc. 34 (1972), 609-614; DOI: https://doi.org/10.1090/S0002-9939-1972-0295282-6; PDF

New methods in coincidence theory: Kalyan K. Mukherjea; Proc. Amer. Math. Soc. 34 (1972), 615-620; DOI: https://doi.org/10.1090/S0002-9939-1972-0295343-1; PDF

A characterization of spaces on which all path maps are continuous: P. W. Harley; Proc. Amer. Math. Soc. 34 (1972), 621-622; DOI: https://doi.org/10.1090/S0002-9939-1972-0309050-X; PDF

Coarse uniformities on the rationals: H. C. Enos; Proc. Amer. Math. Soc. 34 (1972), 623-626; DOI: https://doi.org/10.1090/S0002-9939-1972-0295283-8; PDF

Mean convergence in $L^{p}$ spaces: W. P. Novinger; Proc. Amer. Math. Soc. 34 (1972), 627-628; DOI: https://doi.org/10.1090/S0002-9939-1972-0294595-1; PDF

A $3$-dimensional Abraham-Smale example: Carl P. Simon; Proc. Amer. Math. Soc. 34 (1972), 629-630; DOI: https://doi.org/10.1090/S0002-9939-1972-0295391-1; PDF

Errata for two papers of Stitzinger: Ernest L. Stitzinger; Proc. Amer. Math. Soc. 34 (1972), 631; DOI: https://doi.org/10.1090/S0002-9939-1972-0294501-X; PDF

Errata to: “Operators whose ascent is $0$ or $1$”: P. B. Ramanujan and S. M. Patel; Proc. Amer. Math. Soc. 34 (1972), 632; DOI: https://doi.org/10.1090/S0002-9939-1972-0295102-X; PDF

Errata to: “Subalgebras of $B(X)$”: Albert Wilansky; Proc. Amer. Math. Soc. 34 (1972), 632; DOI: https://doi.org/10.1090/S0002-9939-1972-0293405-6; PDF