Contents of Volume 41, Number 2

All articles in this issue are freely accessible.

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The equation of Ramanujan-Nagell and $[y^{2}]$

D. G. Mead.
Proc. Amer. Math. Soc. 41 (1973), 333-341
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MathSciNet review: 0327725

Descent of projectivity for locally free modules

Roger Wiegand.
Proc. Amer. Math. Soc. 41 (1973), 342-348
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MathSciNet review: 0327737

Perfect torsion theories

Paul E. Bland.
Proc. Amer. Math. Soc. 41 (1973), 349-355
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MathSciNet review: 0376758

Finite Frattini factors in finitely generated soluble groups

John C. Lennox.
Proc. Amer. Math. Soc. 41 (1973), 356-360
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MathSciNet review: 0333003

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

John C. Lennox.
Proc. Amer. Math. Soc. 41 (1973), 361-362
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MathSciNet review: 0333004

Finiteness in prime ideals in rings of global dimension two

Hu Sheng.
Proc. Amer. Math. Soc. 41 (1973), 363-369
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MathSciNet review: 0327739

A remark on the commutativity of certain rings

Ram Awtar.
Proc. Amer. Math. Soc. 41 (1973), 370-372
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MathSciNet review: 0327842

Equational theories of algebras with distributive congruences

R. Padmanabhan and R. W. Quackenbush.
Proc. Amer. Math. Soc. 41 (1973), 373-377
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MathSciNet review: 0325498

Groups with normal subgroups possessing subnormal complements

K. H. Toh.
Proc. Amer. Math. Soc. 41 (1973), 378-380
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MathSciNet review: 0325787

Faithful Noetherian modules

Edward Formanek.
Proc. Amer. Math. Soc. 41 (1973), 381-383
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MathSciNet review: 0379477

For how many edges is a digraph almost certainly Hamiltonian?

E. M. Wright.
Proc. Amer. Math. Soc. 41 (1973), 384-388
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MathSciNet review: 0342436

Allowable diagrams for purely inseparable field extensions

Linda Almgren Kime.
Proc. Amer. Math. Soc. 41 (1973), 389-393
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MathSciNet review: 0335481

Fields of constants of infinite higher derivations

James K. Deveney.
Proc. Amer. Math. Soc. 41 (1973), 394-398
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MathSciNet review: 0335478

An imbedding theorem for separable algebras

Takasi Nagahara.
Proc. Amer. Math. Soc. 41 (1973), 399-402
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MathSciNet review: 0323775

Some remarks concerning the number theoretic functions $𝜔(n)$ and $Ω(n)$

Robert E. Dressler and Jan van de Lune.
Proc. Amer. Math. Soc. 41 (1973), 403-406
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MathSciNet review: 0340191

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
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MathSciNet review: 0323778

On sequences not containing a large sum-free subsequence

S. L. G. Choi.
Proc. Amer. Math. Soc. 41 (1973), 415-418
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MathSciNet review: 0325563

Lie algebra representations of dimension $p-1$

Helmut Strade.
Proc. Amer. Math. Soc. 41 (1973), 419-424
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MathSciNet review: 0330247

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

Takayuki Tamura.
Proc. Amer. Math. Soc. 41 (1973), 425-430
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MathSciNet review: 0327957

Rund forms over real algebraic function fields in one variable

Richard Elman.
Proc. Amer. Math. Soc. 41 (1973), 431-436
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MathSciNet review: 0323718

Flat and FP-injectivity

Saroj Jain.
Proc. Amer. Math. Soc. 41 (1973), 437-442
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MathSciNet review: 0323828

Identities in implicative semilattices

Angelo Margaris.
Proc. Amer. Math. Soc. 41 (1973), 443-448
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MathSciNet review: 0337707

Coherence of one polynomial ring

Wolmer V. Vasconcelos.
Proc. Amer. Math. Soc. 41 (1973), 449-456
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MathSciNet review: 0325608

Real homogeneous algebras

D. Ž. Djoković.
Proc. Amer. Math. Soc. 41 (1973), 457-462
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MathSciNet review: 0332902

An extension of Haynsworth’s determinant inequality

D. J. Hartfiel.
Proc. Amer. Math. Soc. 41 (1973), 463-465
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MathSciNet review: 0323807

The strict topology for $P$-spaces

Robert F. Wheeler.
Proc. Amer. Math. Soc. 41 (1973), 466-472
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MathSciNet review: 0341048

Representation of $A$-convex algebras

Allan C. Cochran.
Proc. Amer. Math. Soc. 41 (1973), 473-479
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MathSciNet review: 0333735

Operators with a strictly cyclic vector

Bruce Barnes.
Proc. Amer. Math. Soc. 41 (1973), 480-486
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MathSciNet review: 0344924

On continuity of invariant measures

Andrew Adler.
Proc. Amer. Math. Soc. 41 (1973), 487-491
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MathSciNet review: 0328025

Asymptotic values and Baire category

Chaim Mida.
Proc. Amer. Math. Soc. 41 (1973), 492-494
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MathSciNet review: 0324046

Boundedly holomorphic convex Riemann domain

Dong S. Kim.
Proc. Amer. Math. Soc. 41 (1973), 495-497
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MathSciNet review: 0328120

Compact $2$-manifolds as maximal ideal spaces

Alfred G. Brandstein.
Proc. Amer. Math. Soc. 41 (1973), 498-500
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MathSciNet review: 0324426

On invariant linear manifolds

P. A. Fillmore.
Proc. Amer. Math. Soc. 41 (1973), 501-505
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MathSciNet review: 0338804

Product integral approximations of solutions to linear operator equations

Robert H. Martin.
Proc. Amer. Math. Soc. 41 (1973), 506-512
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MathSciNet review: 0380463

Uniform approximation by solutions of elliptic equations

Barnet M. Weinstock.
Proc. Amer. Math. Soc. 41 (1973), 513-517
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MathSciNet review: 0340794

The local range set of a meromorphic function

Leon Brown and P. M. Gauthier.
Proc. Amer. Math. Soc. 41 (1973), 518-524
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MathSciNet review: 0325970

A counterexample to the two-thirds conjecture

Roger W. Barnard and John L. Lewis.
Proc. Amer. Math. Soc. 41 (1973), 525-529
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MathSciNet review: 0325944

Perturbations by nilpotent operators on Hilbert space

Arlen Brown, Carl Pearcy and Norberto Salinas.
Proc. Amer. Math. Soc. 41 (1973), 530-534
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MathSciNet review: 0374955

The Baire order of the functions continuous almost everywhere

R. D. Mauldin.
Proc. Amer. Math. Soc. 41 (1973), 535-540
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MathSciNet review: 0323966

Multipliers of closed ideals in group algebras

Stephen H. Friedberg.
Proc. Amer. Math. Soc. 41 (1973), 541-542
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MathSciNet review: 0326308

On the derivative of a polynomial

N. K. Govil.
Proc. Amer. Math. Soc. 41 (1973), 543-546
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MathSciNet review: 0325932

Bounded approximate units and bounded approximate identities

Josef Wichmann.
Proc. Amer. Math. Soc. 41 (1973), 547-550
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MathSciNet review: 0324415

The noncharacteristic Cauchy problem for parabolic equations in two space variables

David Colton.
Proc. Amer. Math. Soc. 41 (1973), 551-556
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MathSciNet review: 0324189

Chebyshev approximation with a null space

Charles B. Dunham.
Proc. Amer. Math. Soc. 41 (1973), 557-558
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MathSciNet review: 0326244

Harmonic measure and domains bounded by quasiconformal circles

Donald K. Blevins.
Proc. Amer. Math. Soc. 41 (1973), 559-564
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MathSciNet review: 0325960

Oscillation in first order nonlinear retarded argument differential equations

Warren E. Shreve.
Proc. Amer. Math. Soc. 41 (1973), 565-568
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MathSciNet review: 0372371

A characterization of inner product spaces

R. A. Tapia.
Proc. Amer. Math. Soc. 41 (1973), 569-574
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MathSciNet review: 0341041

Sums of distances between points on a sphere. II

Kenneth B. Stolarsky.
Proc. Amer. Math. Soc. 41 (1973), 575-582
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MathSciNet review: 0333995

The halting problem relativized to complements

Louise Hay.
Proc. Amer. Math. Soc. 41 (1973), 583-587
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MathSciNet review: 0327495

Functions possessing restricted mean value properties

David Heath.
Proc. Amer. Math. Soc. 41 (1973), 588-595
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MathSciNet review: 0333213

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

A. K. Basu.
Proc. Amer. Math. Soc. 41 (1973), 596-601
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MathSciNet review: 0329007

An order-theoretic description of Marinescu spaces

W. A. Feldman and J. F. Porter.
Proc. Amer. Math. Soc. 41 (1973), 602-608
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MathSciNet review: 0328528

Bifurcation at eigenvalues of odd multiplicity

David Westreich.
Proc. Amer. Math. Soc. 41 (1973), 609-614
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MathSciNet review: 0328707

An example relating to Arhangel′skiĭ’s class $MOBI$

James R. Boone.
Proc. Amer. Math. Soc. 41 (1973), 615-618
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MathSciNet review: 0328891

Negligibility in nonlocally convex spaces

Charles A. Riley.
Proc. Amer. Math. Soc. 41 (1973), 619-624
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MathSciNet review: 0322878

The min cone over the circle group

J. E. L’Heureux.
Proc. Amer. Math. Soc. 41 (1973), 625-628
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MathSciNet review: 0323947

On the fundamental domain of a discrete group

Melvyn B. Nathanson.
Proc. Amer. Math. Soc. 41 (1973), 629-630
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MathSciNet review: 0325799

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

Sibe Mardešić.
Proc. Amer. Math. Soc. 41 (1973), 631-633
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MathSciNet review: 0334161

An inverse function theorem for free groups

Joan S. Birman.
Proc. Amer. Math. Soc. 41 (1973), 634-638
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MathSciNet review: 0330295