Proceedings of the American Mathematical Society

Contents of Volume 41, Number 2
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The equation of Ramanujan-Nagell and $[y^{2}]$

D. G. Mead

Proc. Amer. Math. Soc. 41 (1973), 333-341

DOI: https://doi.org/10.1090/S0002-9939-1973-0327725-4

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Descent of projectivity for locally free modules

Roger Wiegand

Proc. Amer. Math. Soc. 41 (1973), 342-348

DOI: https://doi.org/10.1090/S0002-9939-1973-0327737-0

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Perfect torsion theories

Paul E. Bland

Proc. Amer. Math. Soc. 41 (1973), 349-355

DOI: https://doi.org/10.1090/S0002-9939-1973-0376758-0

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Finite Frattini factors in finitely generated soluble groups

John C. Lennox

Proc. Amer. Math. Soc. 41 (1973), 356-360

DOI: https://doi.org/10.1090/S0002-9939-1973-0333003-X

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Finite frattini factors in finitely generated Abelian-by-polycyclic groups

John C. Lennox

Proc. Amer. Math. Soc. 41 (1973), 361-362

DOI: https://doi.org/10.1090/S0002-9939-1973-0333004-1

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Finiteness in prime ideals in rings of global dimension two

Hu Sheng

Proc. Amer. Math. Soc. 41 (1973), 363-369

DOI: https://doi.org/10.1090/S0002-9939-1973-0327739-4

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A remark on the commutativity of certain rings

Ram Awtar

Proc. Amer. Math. Soc. 41 (1973), 370-372

DOI: https://doi.org/10.1090/S0002-9939-1973-0327842-9

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Equational theories of algebras with distributive congruences

R. Padmanabhan and R. W. Quackenbush

Proc. Amer. Math. Soc. 41 (1973), 373-377

DOI: https://doi.org/10.1090/S0002-9939-1973-0325498-2

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Groups with normal subgroups possessing subnormal complements

K. H. Toh

Proc. Amer. Math. Soc. 41 (1973), 378-380

DOI: https://doi.org/10.1090/S0002-9939-1973-0325787-1

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Faithful Noetherian modules

Edward Formanek

Proc. Amer. Math. Soc. 41 (1973), 381-383

DOI: https://doi.org/10.1090/S0002-9939-1973-0379477-X

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For how many edges is a digraph almost certainly Hamiltonian?

E. M. Wright

Proc. Amer. Math. Soc. 41 (1973), 384-388

DOI: https://doi.org/10.1090/S0002-9939-1973-0342436-7

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Allowable diagrams for purely inseparable field extensions

Linda Almgren Kime

Proc. Amer. Math. Soc. 41 (1973), 389-393

DOI: https://doi.org/10.1090/S0002-9939-1973-0335481-9

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Fields of constants of infinite higher derivations

James K. Deveney

Proc. Amer. Math. Soc. 41 (1973), 394-398

DOI: https://doi.org/10.1090/S0002-9939-1973-0335478-9

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An imbedding theorem for separable algebras

Takasi Nagahara

Proc. Amer. Math. Soc. 41 (1973), 399-402

DOI: https://doi.org/10.1090/S0002-9939-1973-0323775-2

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Some remarks concerning the number theoretic functions $\omega (n)$ and $\Omega (n)$

Robert E. Dressler and Jan van de Lune

Proc. Amer. Math. Soc. 41 (1973), 403-406

DOI: https://doi.org/10.1090/S0002-9939-1973-0340191-8

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The finiteness of $I$ when $R[X]/I$ is $R$-projective

J. W. Brewer and P. R. Montgomery

Proc. Amer. Math. Soc. 41 (1973), 407-414

DOI: https://doi.org/10.1090/S0002-9939-1973-0323778-8

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On sequences not containing a large sum-free subsequence

S. L. G. Choi

Proc. Amer. Math. Soc. 41 (1973), 415-418

DOI: https://doi.org/10.1090/S0002-9939-1973-0325563-X

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Lie algebra representations of dimension $p-1$

Helmut Strade

Proc. Amer. Math. Soc. 41 (1973), 419-424

DOI: https://doi.org/10.1090/S0002-9939-1973-0330247-8

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Finitely generated steady $\mathfrak {N}$-semigroups

Takayuki Tamura

Proc. Amer. Math. Soc. 41 (1973), 425-430

DOI: https://doi.org/10.1090/S0002-9939-1973-0327957-5

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Rund forms over real algebraic function fields in one variable

Richard Elman

Proc. Amer. Math. Soc. 41 (1973), 431-436

DOI: https://doi.org/10.1090/S0002-9939-1973-0323718-1

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Flat and FP-injectivity

Saroj Jain

Proc. Amer. Math. Soc. 41 (1973), 437-442

DOI: https://doi.org/10.1090/S0002-9939-1973-0323828-9

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Identities in implicative semilattices

Angelo Margaris

Proc. Amer. Math. Soc. 41 (1973), 443-448

DOI: https://doi.org/10.1090/S0002-9939-1973-0337707-4

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Coherence of one polynomial ring

Wolmer V. Vasconcelos

Proc. Amer. Math. Soc. 41 (1973), 449-456

DOI: https://doi.org/10.1090/S0002-9939-1973-0325608-7

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Real homogeneous algebras

D. Ž. Djoković

Proc. Amer. Math. Soc. 41 (1973), 457-462

DOI: https://doi.org/10.1090/S0002-9939-1973-0332902-2

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An extension of Haynsworth’s determinant inequality

D. J. Hartfiel

Proc. Amer. Math. Soc. 41 (1973), 463-465

DOI: https://doi.org/10.1090/S0002-9939-1973-0323807-1

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The strict topology for $P$-spaces

Robert F. Wheeler

Proc. Amer. Math. Soc. 41 (1973), 466-472

DOI: https://doi.org/10.1090/S0002-9939-1973-0341048-9

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Representation of $A$-convex algebras

Allan C. Cochran

Proc. Amer. Math. Soc. 41 (1973), 473-479

DOI: https://doi.org/10.1090/S0002-9939-1973-0333735-3

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Operators with a strictly cyclic vector

Bruce Barnes

Proc. Amer. Math. Soc. 41 (1973), 480-486

DOI: https://doi.org/10.1090/S0002-9939-1973-0344924-6

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On continuity of invariant measures

Andrew Adler

Proc. Amer. Math. Soc. 41 (1973), 487-491

DOI: https://doi.org/10.1090/S0002-9939-1973-0328025-9

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Asymptotic values and Baire category

Chaim Mida

Proc. Amer. Math. Soc. 41 (1973), 492-494

DOI: https://doi.org/10.1090/S0002-9939-1973-0324046-0

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Boundedly holomorphic convex Riemann domain

Dong S. Kim

Proc. Amer. Math. Soc. 41 (1973), 495-497

DOI: https://doi.org/10.1090/S0002-9939-1973-0328120-4

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Compact $2$-manifolds as maximal ideal spaces

Alfred G. Brandstein

Proc. Amer. Math. Soc. 41 (1973), 498-500

DOI: https://doi.org/10.1090/S0002-9939-1973-0324426-3

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On invariant linear manifolds

P. A. Fillmore

Proc. Amer. Math. Soc. 41 (1973), 501-505

DOI: https://doi.org/10.1090/S0002-9939-1973-0338804-X

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Product integral approximations of solutions to linear operator equations

Robert H. Martin

Proc. Amer. Math. Soc. 41 (1973), 506-512

DOI: https://doi.org/10.1090/S0002-9939-1973-0380463-4

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Uniform approximation by solutions of elliptic equations

Barnet M. Weinstock

Proc. Amer. Math. Soc. 41 (1973), 513-517

DOI: https://doi.org/10.1090/S0002-9939-1973-0340794-0

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The local range set of a meromorphic function

Leon Brown and P. M. Gauthier

Proc. Amer. Math. Soc. 41 (1973), 518-524

DOI: https://doi.org/10.1090/S0002-9939-1973-0325970-5

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A counterexample to the two-thirds conjecture

Roger W. Barnard and John L. Lewis

Proc. Amer. Math. Soc. 41 (1973), 525-529

DOI: https://doi.org/10.1090/S0002-9939-1973-0325944-4

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Perturbations by nilpotent operators on Hilbert space

Arlen Brown, Carl Pearcy and Norberto Salinas

Proc. Amer. Math. Soc. 41 (1973), 530-534

DOI: https://doi.org/10.1090/S0002-9939-1973-0374955-1

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The Baire order of the functions continuous almost everywhere

R. D. Mauldin

Proc. Amer. Math. Soc. 41 (1973), 535-540

DOI: https://doi.org/10.1090/S0002-9939-1973-0323966-0

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Multipliers of closed ideals in group algebras

Stephen H. Friedberg

Proc. Amer. Math. Soc. 41 (1973), 541-542

DOI: https://doi.org/10.1090/S0002-9939-1973-0326308-X

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On the derivative of a polynomial

N. K. Govil

Proc. Amer. Math. Soc. 41 (1973), 543-546

DOI: https://doi.org/10.1090/S0002-9939-1973-0325932-8

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Bounded approximate units and bounded approximate identities

Josef Wichmann

Proc. Amer. Math. Soc. 41 (1973), 547-550

DOI: https://doi.org/10.1090/S0002-9939-1973-0324415-9

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The noncharacteristic Cauchy problem for parabolic equations in two space variables

David Colton

Proc. Amer. Math. Soc. 41 (1973), 551-556

DOI: https://doi.org/10.1090/S0002-9939-1973-0324189-1

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Chebyshev approximation with a null space

Charles B. Dunham

Proc. Amer. Math. Soc. 41 (1973), 557-558

DOI: https://doi.org/10.1090/S0002-9939-1973-0326244-9

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Harmonic measure and domains bounded by quasiconformal circles

Donald K. Blevins

Proc. Amer. Math. Soc. 41 (1973), 559-564

DOI: https://doi.org/10.1090/S0002-9939-1973-0325960-2

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Oscillation in first order nonlinear retarded argument differential equations

Warren E. Shreve

Proc. Amer. Math. Soc. 41 (1973), 565-568

DOI: https://doi.org/10.1090/S0002-9939-1973-0372371-X

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A characterization of inner product spaces

R. A. Tapia

Proc. Amer. Math. Soc. 41 (1973), 569-574

DOI: https://doi.org/10.1090/S0002-9939-1973-0341041-6

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Sums of distances between points on a sphere. II

Kenneth B. Stolarsky

Proc. Amer. Math. Soc. 41 (1973), 575-582

DOI: https://doi.org/10.1090/S0002-9939-1973-0333995-9

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The halting problem relativized to complements

Louise Hay

Proc. Amer. Math. Soc. 41 (1973), 583-587

DOI: https://doi.org/10.1090/S0002-9939-1973-0327495-X

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Functions possessing restricted mean value properties

David Heath

Proc. Amer. Math. Soc. 41 (1973), 588-595

DOI: https://doi.org/10.1090/S0002-9939-1973-0333213-1

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A note on Strassen’s version of the law of the iterated logarithm

A. K. Basu

Proc. Amer. Math. Soc. 41 (1973), 596-601

DOI: https://doi.org/10.1090/S0002-9939-1973-0329007-3

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An order-theoretic description of Marinescu spaces

W. A. Feldman and J. F. Porter

Proc. Amer. Math. Soc. 41 (1973), 602-608

DOI: https://doi.org/10.1090/S0002-9939-1973-0328528-7

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Bifurcation at eigenvalues of odd multiplicity

David Westreich

Proc. Amer. Math. Soc. 41 (1973), 609-614

DOI: https://doi.org/10.1090/S0002-9939-1973-0328707-9

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An example relating to Arhangel′skiĭ’s class $\textrm {MOBI}$

James R. Boone

Proc. Amer. Math. Soc. 41 (1973), 615-618

DOI: https://doi.org/10.1090/S0002-9939-1973-0328891-7

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Negligibility in nonlocally convex spaces

Charles A. Riley

Proc. Amer. Math. Soc. 41 (1973), 619-624

DOI: https://doi.org/10.1090/S0002-9939-1973-0322878-6

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The min cone over the circle group

J. E. L’Heureux

Proc. Amer. Math. Soc. 41 (1973), 625-628

DOI: https://doi.org/10.1090/S0002-9939-1973-0323947-7

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On the fundamental domain of a discrete group

Melvyn B. Nathanson

Proc. Amer. Math. Soc. 41 (1973), 629-630

DOI: https://doi.org/10.1090/S0002-9939-1973-0325799-8

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Compact subsets of $R^{n}$ and dimension of their projections

Sibe Mardešić

Proc. Amer. Math. Soc. 41 (1973), 631-633

DOI: https://doi.org/10.1090/S0002-9939-1973-0334161-3

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An inverse function theorem for free groups

Joan S. Birman

Proc. Amer. Math. Soc. 41 (1973), 634-638

DOI: https://doi.org/10.1090/S0002-9939-1973-0330295-8

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