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## Henriksen, Melvin

Compute Distance To:
 Author ID: henriksen.melvin Published as: Henriksen, Melvin; Henriksen, M.; Henriksen, Melvin E.; Henriksen, Mel; Henriksen, M Homepage: https://www.math.hmc.edu/~henriksen/ External Links: MGP
 Documents Indexed: 99 Publications since 1952 Biographic References: 2 Publications
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#### Co-Authors

 31 single-authored 13 Woods, R. Grant 8 Kopperman, Ralph D. 8 Smith, F. A. 6 Gillman, Leonard 5 Isbell, John Rolfe 4 Jerison, Meyer 4 Larson, Suzanne 4 Rayburn, Marlon C. 3 Chinburg, Ted 3 Martínez, Jorge L. 3 Osba, Emad Abu 3 Vermeer, Johannes 3 Wilson, Richard Gordon 2 Alkam, Osama 2 Banerjee, Bikram (Bandyopadhyay) 2 Comfort, William Wistar 2 Dow, Alan S. 2 Johnson, Donald Glen 2 Raphael, Robert M. 2 Todd, Aaron R. 1 Alas, Ofelia Teresa 1 Anderson, Richard D. 1 Azadi, H. 1 Boulabiar, Karim Mohamed 1 Buskes, Gerard J. H. M. 1 Correl, Ellen 1 Day, Jane Maxwell 1 Erdős, Pál 1 Estaji, Ali Akbar 1 Feldman, David Victor 1 García-Ferreira, Salvador 1 Ghosh, Swapan Kumar 1 Golasiński, Marek 1 Hager, Anthony W. 1 Janos, Ludvik 1 Mack, John Eldon 1 Mardešić, Sibe 1 Mitra, Biswajit 1 Momtahan, Ehsan 1 Nagata, Jun-iti 1 Nikou, Amir 1 Rudin, Mary Ellen 1 Smirnov, Yuriĭ Mikhaĭlovich 1 Somerset, Douglas W. B. 1 Walters-Wayland, Joanne
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#### Serials

 10 Commentationes Mathematicae Universitatis Carolinae 7 Topology and its Applications 6 Proceedings of the American Mathematical Society 6 Transactions of the American Mathematical Society 4 Algebra Universalis 4 Pacific Journal of Mathematics 3 Fundamenta Mathematicae 2 American Mathematical Monthly 2 Houston Journal of Mathematics 2 Duke Mathematical Journal 2 Mathematica Japonica 2 Michigan Mathematical Journal 2 Topology Proceedings 2 Bulletin of the American Mathematical Society 1 Communications in Algebra 1 International Journal of Mathematical Education in Science and Technology 1 Journal of Mathematical Analysis and Applications 1 Linear and Multilinear Algebra 1 Mathematical Proceedings of the Cambridge Philosophical Society 1 Acta Arithmetica 1 Archiv der Mathematik 1 Archivum Mathematicum 1 Canadian Journal of Mathematics 1 Colloquium Mathematicum 1 Dissertationes Mathematicae 1 Indagationes Mathematicae 1 Journal of Algebra 1 The Journal of the Indian Mathematical Society. New Series 1 Journal of Pure and Applied Algebra 1 Mathematische Zeitschrift 1 Portugaliae Mathematica 1 Quaestiones Mathematicae 1 Acta Mathematica Hungarica 1 Questions and Answers in General Topology 1 Notices of the American Mathematical Society 1 Annals of Mathematics. Second Series
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#### Fields

 45 General topology (54-XX) 23 Order, lattices, ordered algebraic structures (06-XX) 19 Commutative algebra (13-XX) 14 Functional analysis (46-XX) 9 Associative rings and algebras (16-XX) 3 Number theory (11-XX) 3 Field theory and polynomials (12-XX) 1 History and biography (01-XX) 1 Mathematical logic and foundations (03-XX) 1 Algebraic geometry (14-XX) 1 Nonassociative rings and algebras (17-XX) 1 Group theory and generalizations (20-XX) 1 Real functions (26-XX) 1 Measure and integration (28-XX) 1 Numerical analysis (65-XX)

#### Citations contained in zbMATH Open

77 Publications have been cited 1,000 times in 731 Documents Cited by Year
The space of minimal prime ideals of a commutative ring. Zbl 0147.29105
Henriksen, M.; Jerison, M.
1965
Rings of continuous functions in which every finitely generated ideal is principal. Zbl 0073.09201
Gillman, Leonhard; Henriksen, Melvin
1956
Some properties of compactifications. Zbl 0081.38604
Henriksen, Melvin; Isbell, J. R.
1958
On the structure of a class of archimedean lattice-ordered algebras. Zbl 0099.10101
Henriksen, M.; Johnson, D. G.
1961
Concerning rings of continuous functions. Zbl 0058.10003
Gillman, Leonard; Henriksen, Melvin
1954
Order-Cauchy completions of rings and vector lattices of continuous functions. Zbl 0462.54009
Dashiell, F.; Hager, A.; Henriksen, M.
1980
Two classes of rings generated by their units. Zbl 0285.16009
Henriksen, Melvin
1974
On a class of regular rings that are elementary divisor rings. Zbl 0257.16015
Henriksen, Melvin
1973
Lattice ordered rings and function rings. Zbl 0111.04302
Henriksen, M.; Isbell, J. R.
1962
Residue class fields of lattice-ordered algebras. Zbl 0101.33401
Henriksen, M.; Isbell, J. R.; Johnson, D. G.
1961
On the prime ideals of the ring of entire functions. Zbl 0052.34101
Henriksen, Melvin
1953
An isomorphism theorem for real-closed fields. Zbl 0065.02305
Erdős, Pál; Gillman, L.; Henriksen, M.
1955
Some remarks about elementary divisor rings. Zbl 0073.02203
Gillman, Leonard; Henriksen, Melvin
1956
Some remarks on elementary divisor rings. II. Zbl 0073.02301
Henriksen, Melvin
1956
On a theorem of Gelfand and Kolmogoroff concerning maximal ideals in rings of continuous functions. Zbl 0056.10803
Gillman, L.; Henriksen, M.; Jerison, M.
1954
On the ideal structure of the ring of entire functions. Zbl 0048.09001
Henriksen, Melvin
1952
Quasi F-covers of Tychonoff spaces. Zbl 0653.54025
Henriksen, M.; Vermeer, J.; Woods, R. G.
1987
Cozero complemented spaces; when the space of minimal prime ideals of a $$C(X)$$ is compact. Zbl 1067.54015
Henriksen, M.; Woods, R. G.
2004
A general theory of structure spaces with applications to spaces of prime ideals. Zbl 0755.16002
Henriksen, M.; Kopperman, R.
1991
When is $$C(X)/P$$ a valuation ring for every prime ideal $$P$$? Zbl 0801.54014
Henriksen, Melvin; Wilson, Richard
1992
Lattice-ordered algebras that are subdirect products of valuation domains. Zbl 0817.06014
Henriksen, Melvin; Larson, Suzanne; Martinez, Jorge; Woods, R. G.
1994
Almost discrete SV-space. Zbl 0791.54049
Henriksen, M.; Wilson, R. G.
1992
Some properties of positive derivations on f-rings. Zbl 0491.06016
Henriksen, Melvin; Smith, F. A.
1982
Wallman covers of compact spaces. Zbl 0719.54033
Henriksen, M.; Vermeer, J.; Woods, R. G.
1989
On the equivalence of the ring, lattice, and semigroup of continuous functions. Zbl 0077.10402
Henriksen, Melvin
1957
The space of minimal prime ideals of C(X) need not be basically disconnected. Zbl 0659.54011
Dow, A; Henriksen, M.; Kopperman, Ralph; Vermeer, J.
1988
Semiprime $$f$$-rings that are subdirect products of valuation domains. Zbl 0799.06031
Henriksen, Melvin; Larson, Suzanne
1993
Combining local and von Neumann regular rings. Zbl 1063.13011
Osba, Emad Abu; Henriksen, Melvin; Alkam, Osama
2004
Spaces $$X$$ in which all prime $$z$$-ideals of $$C(X)$$ are minimal or maximal. Zbl 1098.54013
Henriksen, Melvin; Martínez, Jorge; Woods, R. Grant
2003
Some properties of algebras of real-valued measurable functions. Zbl 1199.54116
Azadi, H.; Henriksen, M.; Momtahan, E.
2009
On nearly pseudocompact spaces. Zbl 0419.54009
Henriksen, Melvin; Rayburn, Marlon C.
1980
A survey of $$f$$-rings and some of their generalizations. Zbl 0873.06015
Henriksen, Melvin
1997
On the continuity of the real roots of an algebraic equation. Zbl 0051.34001
Henriksen, Melvin; Isbell, J. R.
1953
On rings of bounded continuous functions with values in a division ring. Zbl 0071.33102
Correl, Ellen; Henriksen, Melvin
1956
Some remarks on a paper of Aronszajn and Panitchpakdi. Zbl 0081.32704
Henriksen, Melvin
1957
Multiplicative summability methods and the Stone-Čech compactification. Zbl 0096.03801
Henriksen, Melvin
1959
Topologies and cotopologies generated by sets of functions. Zbl 0805.54019
Dow, A.; Henriksen, M.; Kopperman, R.; Woods, R. G.
1993
Separate versus joint continuity: A tale of four topologies. Zbl 0974.54001
Henriksen, M.; Woods, R. G.
1999
Joincompact spaces, continuous lattices and $$C^*$$-algebras. Zbl 0933.54002
Henriksen, M.; Kopperman, R.; Mack, J.; Somerset, D. W. B.
1997
Semiprime ideals of $$f$$-rings. Zbl 0374.06013
Henriksen, Melvin
1977
Essential $$P$$-spaces: a generalization of door spaces. Zbl 1100.54024
2004
Properties of one-point completions of a noncompact metrizable space. Zbl 1121.54048
Henriksen, M.; Janos, L.; Woods, R. G.
2005
$$C(X)$$ can sometimes determine $$X$$ without $$X$$ being realcompact. Zbl 1121.54035
Henriksen, Melvin; Mitra, Biswajit
2005
A pointfree study of bases for spaces of minimal prime ideals. Zbl 1071.06006
Henriksen, Melvin; Walters-Wayland, Joanne
2003
Unions of minimal prime ideals in rings of continuous functions on compact spaces. Zbl 1200.54009
Banerjee, Bikram; Ghosh, Swapan Kumar; Henriksen, Melvin
2009
Averages of continuous functions on countable spaces. Zbl 0119.10102
Henriksen, M.; Isbell, J. R.
1964
Minimal projective extensions of compact spaces. Zbl 0132.17905
Henriksen, M.; Jerison, M.
1965
SP-scattered spaces; a new generalization of scattered spaces. Zbl 1199.54188
Henriksen, M.; Raphael, R.; Woods, R. G.
2007
A look at biseparating maps from an algebraic point of view. Zbl 0962.06019
Henriksen, M.; Smith, F. A.
2000
A generalization of a theorem on biseparating maps. Zbl 1048.46042
Boulabiar, Karim; Buskes, Gerard; Henriksen, Melvin
2003
An algebraic characterization of the Freudenthal compactification for a class of rimcompact spaces. Zbl 0427.54015
Henriksen, Melvin
1978
The maximal regular ideal of some commutative rings. Zbl 1150.13300
Abu Osba, Emad; Henriksen, Melvin; Alkam, Osama; Smith, F. A.
2006
Residue class rings of real-analytic and entire functions. Zbl 1093.26027
Golasiński, Marek; Henriksen, Melvin
2006
Old and new unsolved problems in lattice-ordered rings that need not be $$f$$-rings. Zbl 1080.06031
Henriksen, Melvin
2002
Locally finite families, completely separated sets and remote points. Zbl 0649.54014
Henriksen, M.; Peters, T. J.
1988
Rings of continuous functions from an algebraic point of view. Zbl 0739.46011
Henriksen, Melvin
1989
The $$a^{n(a)}=a$$ theorem for semirings. Zbl 0092.03002
Henriksen, Melvin
1958
When is $$|C(X\times Y)|= |C(X)||C(Y)|$$? Zbl 0978.54011
Alas, O. T.; Comfort, W. W.; Garcia-Ferreira, S.; Henriksen, M.; Wilson, R. G.; Woods, R. G.
2000
Multiplicatively periodic rings. Zbl 0344.16022
Chinburg, Ted; Henriksen, Melvin
1976
Uniformly closed ideals of uniformly closed algebras of extended real- valued functions. Zbl 0346.06014
Henriksen, Melvin
1976
Some sufficient conditions for the Jacobson radical of a commutative ring with identity to contain a prime ideal. Zbl 0448.13002
Henriksen, Melvin
1977
A minimal regular ring extension of $$C(X)$$. Zbl 0995.46022
Henriksen, M.; Raphael, R.; Woods, R. G.
2002
f-rings, subdirect products of totally ordered rings, and the prime ideal theorem. Zbl 0656.06017
Feldman, David; Henriksen, Melvin
1988
Sums of z-ideals and semiprime ideals. Zbl 0517.13001
Henriksen, M.; Smith, F. A.
1983
Spaces of prime ideals. Zbl 0744.14002
Henriksen, Melvin
1990
Sums of $$K$$-th powers in the ring of polynomials with integer coefficients. Zbl 0336.10055
Chinburg, Ted; Henriksen, Melvin
1976
$$F$$-spaces and sub-Stonean spaces: General topology as a tool in functional analysis. Zbl 0949.54027
Henriksen, Melvin; Woods, R. G.
1989
Rings of continuous functions in the 1950s. Zbl 0898.54003
Henriksen, Melvin
1997
Oxtoby’s pseudocompleteness revisited. Zbl 0938.54029
Henriksen, Melvin; Kopperman, Ralph; Rayburn, Marlon; Todd, Aaron R.
2000
Conditions that guarantee that all nilpotents commute with every element of an alternative ring. Zbl 0365.17002
Henriksen, Melvin
1977
Tychonoff spaces that have a compactification with countable remainder. Zbl 0385.54019
Henriksen, Melvin
1977
Weak P-spaces and L-closed spaces. Zbl 0683.54030
Henriksen, Melvin; Woods, R. G.
1988
Spaces with a pretty base. Zbl 0786.54039
Henriksen, Melvin
1991
Separate vs. joint continuity, a tale of four topologies. – A summary. Zbl 0919.54002
Henriksen, Melvin
1997
The intermediate value theorem for polynomials over lattice-ordered rings of functions. Zbl 0914.54013
Henriksen, Melvin; Larson, Suzanne; Martinez, Jorge
1996
A simple characterization of commutative rings without maximal ideals. Zbl 0303.13009
Henriksen, Melvin
1975
Ways in which $$C(X)$$ mod a prime ideal can be a valuation domain; something old and something new. Zbl 1149.46042
2007
Some properties of algebras of real-valued measurable functions. Zbl 1199.54116
Azadi, H.; Henriksen, M.; Momtahan, E.
2009
Unions of minimal prime ideals in rings of continuous functions on compact spaces. Zbl 1200.54009
Banerjee, Bikram; Ghosh, Swapan Kumar; Henriksen, Melvin
2009
SP-scattered spaces; a new generalization of scattered spaces. Zbl 1199.54188
Henriksen, M.; Raphael, R.; Woods, R. G.
2007
Ways in which $$C(X)$$ mod a prime ideal can be a valuation domain; something old and something new. Zbl 1149.46042
2007
The maximal regular ideal of some commutative rings. Zbl 1150.13300
Abu Osba, Emad; Henriksen, Melvin; Alkam, Osama; Smith, F. A.
2006
Residue class rings of real-analytic and entire functions. Zbl 1093.26027
Golasiński, Marek; Henriksen, Melvin
2006
Properties of one-point completions of a noncompact metrizable space. Zbl 1121.54048
Henriksen, M.; Janos, L.; Woods, R. G.
2005
$$C(X)$$ can sometimes determine $$X$$ without $$X$$ being realcompact. Zbl 1121.54035
Henriksen, Melvin; Mitra, Biswajit
2005
Cozero complemented spaces; when the space of minimal prime ideals of a $$C(X)$$ is compact. Zbl 1067.54015
Henriksen, M.; Woods, R. G.
2004
Combining local and von Neumann regular rings. Zbl 1063.13011
Osba, Emad Abu; Henriksen, Melvin; Alkam, Osama
2004
Essential $$P$$-spaces: a generalization of door spaces. Zbl 1100.54024
2004
Spaces $$X$$ in which all prime $$z$$-ideals of $$C(X)$$ are minimal or maximal. Zbl 1098.54013
Henriksen, Melvin; Martínez, Jorge; Woods, R. Grant
2003
A pointfree study of bases for spaces of minimal prime ideals. Zbl 1071.06006
Henriksen, Melvin; Walters-Wayland, Joanne
2003
A generalization of a theorem on biseparating maps. Zbl 1048.46042
Boulabiar, Karim; Buskes, Gerard; Henriksen, Melvin
2003
Old and new unsolved problems in lattice-ordered rings that need not be $$f$$-rings. Zbl 1080.06031
Henriksen, Melvin
2002
A minimal regular ring extension of $$C(X)$$. Zbl 0995.46022
Henriksen, M.; Raphael, R.; Woods, R. G.
2002
A look at biseparating maps from an algebraic point of view. Zbl 0962.06019
Henriksen, M.; Smith, F. A.
2000
When is $$|C(X\times Y)|= |C(X)||C(Y)|$$? Zbl 0978.54011
Alas, O. T.; Comfort, W. W.; Garcia-Ferreira, S.; Henriksen, M.; Wilson, R. G.; Woods, R. G.
2000
Oxtoby’s pseudocompleteness revisited. Zbl 0938.54029
Henriksen, Melvin; Kopperman, Ralph; Rayburn, Marlon; Todd, Aaron R.
2000
Separate versus joint continuity: A tale of four topologies. Zbl 0974.54001
Henriksen, M.; Woods, R. G.
1999
A survey of $$f$$-rings and some of their generalizations. Zbl 0873.06015
Henriksen, Melvin
1997
Joincompact spaces, continuous lattices and $$C^*$$-algebras. Zbl 0933.54002
Henriksen, M.; Kopperman, R.; Mack, J.; Somerset, D. W. B.
1997
Rings of continuous functions in the 1950s. Zbl 0898.54003
Henriksen, Melvin
1997
Separate vs. joint continuity, a tale of four topologies. – A summary. Zbl 0919.54002
Henriksen, Melvin
1997
The intermediate value theorem for polynomials over lattice-ordered rings of functions. Zbl 0914.54013
Henriksen, Melvin; Larson, Suzanne; Martinez, Jorge
1996
Lattice-ordered algebras that are subdirect products of valuation domains. Zbl 0817.06014
Henriksen, Melvin; Larson, Suzanne; Martinez, Jorge; Woods, R. G.
1994
Semiprime $$f$$-rings that are subdirect products of valuation domains. Zbl 0799.06031
Henriksen, Melvin; Larson, Suzanne
1993
Topologies and cotopologies generated by sets of functions. Zbl 0805.54019
Dow, A.; Henriksen, M.; Kopperman, R.; Woods, R. G.
1993
When is $$C(X)/P$$ a valuation ring for every prime ideal $$P$$? Zbl 0801.54014
Henriksen, Melvin; Wilson, Richard
1992
Almost discrete SV-space. Zbl 0791.54049
Henriksen, M.; Wilson, R. G.
1992
A general theory of structure spaces with applications to spaces of prime ideals. Zbl 0755.16002
Henriksen, M.; Kopperman, R.
1991
Spaces with a pretty base. Zbl 0786.54039
Henriksen, Melvin
1991
Spaces of prime ideals. Zbl 0744.14002
Henriksen, Melvin
1990
Wallman covers of compact spaces. Zbl 0719.54033
Henriksen, M.; Vermeer, J.; Woods, R. G.
1989
Rings of continuous functions from an algebraic point of view. Zbl 0739.46011
Henriksen, Melvin
1989
$$F$$-spaces and sub-Stonean spaces: General topology as a tool in functional analysis. Zbl 0949.54027
Henriksen, Melvin; Woods, R. G.
1989
The space of minimal prime ideals of C(X) need not be basically disconnected. Zbl 0659.54011
Dow, A; Henriksen, M.; Kopperman, Ralph; Vermeer, J.
1988
Locally finite families, completely separated sets and remote points. Zbl 0649.54014
Henriksen, M.; Peters, T. J.
1988
f-rings, subdirect products of totally ordered rings, and the prime ideal theorem. Zbl 0656.06017
Feldman, David; Henriksen, Melvin
1988
Weak P-spaces and L-closed spaces. Zbl 0683.54030
Henriksen, Melvin; Woods, R. G.
1988
Quasi F-covers of Tychonoff spaces. Zbl 0653.54025
Henriksen, M.; Vermeer, J.; Woods, R. G.
1987
Sums of z-ideals and semiprime ideals. Zbl 0517.13001
Henriksen, M.; Smith, F. A.
1983
Some properties of positive derivations on f-rings. Zbl 0491.06016
Henriksen, Melvin; Smith, F. A.
1982
Order-Cauchy completions of rings and vector lattices of continuous functions. Zbl 0462.54009
Dashiell, F.; Hager, A.; Henriksen, M.
1980
On nearly pseudocompact spaces. Zbl 0419.54009
Henriksen, Melvin; Rayburn, Marlon C.
1980
An algebraic characterization of the Freudenthal compactification for a class of rimcompact spaces. Zbl 0427.54015
Henriksen, Melvin
1978
Semiprime ideals of $$f$$-rings. Zbl 0374.06013
Henriksen, Melvin
1977
Some sufficient conditions for the Jacobson radical of a commutative ring with identity to contain a prime ideal. Zbl 0448.13002
Henriksen, Melvin
1977
Conditions that guarantee that all nilpotents commute with every element of an alternative ring. Zbl 0365.17002
Henriksen, Melvin
1977
Tychonoff spaces that have a compactification with countable remainder. Zbl 0385.54019
Henriksen, Melvin
1977
Multiplicatively periodic rings. Zbl 0344.16022
Chinburg, Ted; Henriksen, Melvin
1976
Uniformly closed ideals of uniformly closed algebras of extended real- valued functions. Zbl 0346.06014
Henriksen, Melvin
1976
Sums of $$K$$-th powers in the ring of polynomials with integer coefficients. Zbl 0336.10055
Chinburg, Ted; Henriksen, Melvin
1976
A simple characterization of commutative rings without maximal ideals. Zbl 0303.13009
Henriksen, Melvin
1975
Two classes of rings generated by their units. Zbl 0285.16009
Henriksen, Melvin
1974
On a class of regular rings that are elementary divisor rings. Zbl 0257.16015
Henriksen, Melvin
1973
The space of minimal prime ideals of a commutative ring. Zbl 0147.29105
Henriksen, M.; Jerison, M.
1965
Minimal projective extensions of compact spaces. Zbl 0132.17905
Henriksen, M.; Jerison, M.
1965
Averages of continuous functions on countable spaces. Zbl 0119.10102
Henriksen, M.; Isbell, J. R.
1964
Lattice ordered rings and function rings. Zbl 0111.04302
Henriksen, M.; Isbell, J. R.
1962
On the structure of a class of archimedean lattice-ordered algebras. Zbl 0099.10101
Henriksen, M.; Johnson, D. G.
1961
Residue class fields of lattice-ordered algebras. Zbl 0101.33401
Henriksen, M.; Isbell, J. R.; Johnson, D. G.
1961
Multiplicative summability methods and the Stone-Čech compactification. Zbl 0096.03801
Henriksen, Melvin
1959
Some properties of compactifications. Zbl 0081.38604
Henriksen, Melvin; Isbell, J. R.
1958
The $$a^{n(a)}=a$$ theorem for semirings. Zbl 0092.03002
Henriksen, Melvin
1958
On the equivalence of the ring, lattice, and semigroup of continuous functions. Zbl 0077.10402
Henriksen, Melvin
1957
Some remarks on a paper of Aronszajn and Panitchpakdi. Zbl 0081.32704
Henriksen, Melvin
1957
Rings of continuous functions in which every finitely generated ideal is principal. Zbl 0073.09201
Gillman, Leonhard; Henriksen, Melvin
1956
Some remarks about elementary divisor rings. Zbl 0073.02203
Gillman, Leonard; Henriksen, Melvin
1956
Some remarks on elementary divisor rings. II. Zbl 0073.02301
Henriksen, Melvin
1956
On rings of bounded continuous functions with values in a division ring. Zbl 0071.33102
Correl, Ellen; Henriksen, Melvin
1956
An isomorphism theorem for real-closed fields. Zbl 0065.02305
Erdős, Pál; Gillman, L.; Henriksen, M.
1955
Concerning rings of continuous functions. Zbl 0058.10003
Gillman, Leonard; Henriksen, Melvin
1954
On a theorem of Gelfand and Kolmogoroff concerning maximal ideals in rings of continuous functions. Zbl 0056.10803
Gillman, L.; Henriksen, M.; Jerison, M.
1954
On the prime ideals of the ring of entire functions. Zbl 0052.34101
Henriksen, Melvin
1953
On the continuity of the real roots of an algebraic equation. Zbl 0051.34001
Henriksen, Melvin; Isbell, J. R.
1953
On the ideal structure of the ring of entire functions. Zbl 0048.09001
Henriksen, Melvin
1952
all top 5

#### Cited by 644 Authors

 41 Hager, Anthony W. 23 Dube, Themba 22 Martínez, Jorge L. 21 McGovern, Warren Wm. 20 Henriksen, Melvin 15 Chen, Huanyin 13 Ball, Richard N. 11 Azarpanah, Fariborz 10 Larson, Suzanne 10 Ma, Jingjing 10 Zabavsky, Bogdan Volodymyrovych 9 Arkhangel’skiĭ, Aleksandr Vladimirovich 9 Madden, James J. 8 Bhattacharjee, Papiya 8 Gillman, Leonard 8 van Douwen, Eric K. 7 Johnson, Donald Glen 7 Khurana, Dinesh 7 Kopperman, Ralph D. 7 van Mill, Jan 6 Banaschewski, Bernhard 6 Boulabiar, Karim Mohamed 6 Comfort, William Wistar 6 Hashemi, Ebrahim 6 Isbell, John Rolfe 6 Srivastava, Ashish Kumar 6 Vechtomov, Evgeniĭ Mikhaĭlovich 5 Alhevaz, Abdollah 5 Alling, Norman Larrabee 5 Choban, Mitrofan Mihailovich 5 He, Wei 5 Kang, Byung Gyun 5 Knox, Michelle L. 5 Lin, Fucai 5 Pulgarín, Antonio A. 5 Steinberg, Stuart A. 5 Toumi, Mohamed Ali 5 Wang, Hanfeng 5 Woods, R. Grant 4 Al-Ezeh, Hasan 4 Phạm Ngọc Ánh 4 Bella, Angelo 4 Burgess, Walter D. 4 Buskes, Gerard J. H. M. 4 Dow, Alan S. 4 Ghanem, Manal 4 Ighedo, Oghenetega 4 Lam, Tsit-Yuen 4 Lucas, François 4 Schaub, Daniel 4 Schwartz, Niels 4 Somerset, Douglas W. B. 4 Spivakovsky, Mark 4 Taherifar, Ali 4 Tall, Franklin D. 4 Toan, Phan Thanh 4 Tuganbaev, Askar Akanovich 4 Vermeer, Johannes 4 Wei, Junchao 4 Wynne, Brian 4 Xie, Lihong 4 Zenk, Eric Richard 3 Acharyya, Sudip Kumar 3 Aliabad, Ali Rezaei 3 Armstrong, Thomas E. 3 Artico, Giuliano 3 Bag, Sagarmoy 3 Ben Amor, Mohamed Amine 3 Bennett, Harold R. 3 Bezhanishvili, Guram 3 Blair, Robert L. 3 Brainerd, Barron 3 Carrera, Ricardo E. 3 Chen, Miaosen 3 Conrad, Paul F. 3 Couchot, François 3 Ehrlich, Philip 3 Filter, Wolfgang 3 Finocchiaro, Carmelo Antonio 3 Fontana, Marco 3 Gait, Jason 3 Ghashghaei, Ebrahim 3 Kimber, Chawne Monique 3 Koushesh, Mohammad Reza 3 Lin, Shou 3 Liu, Chuan 3 Loper, Kenneth Alan 3 Lutzer, David J. 3 Mahdou, Najib 3 Mikhalëv, Aleksandr Vasil’evich 3 Mitra, Biswajit 3 Morandi, Patrick J. 3 Negrepontis, Stylianos 3 Olberding, Bruce M. 3 Point, Françoise 3 Raphael, Robert M. 3 Requejo, Batildo 3 Romaniv, O. M. 3 Salehi, A. R. 3 Scowcroft, Philip ...and 544 more Authors
all top 5

#### Cited in 115 Serials

 123 Topology and its Applications 54 Communications in Algebra 37 Proceedings of the American Mathematical Society 34 Transactions of the American Mathematical Society 30 Journal of Algebra 29 Journal of Pure and Applied Algebra 28 Algebra Universalis 23 Journal of Algebra and its Applications 16 Czechoslovak Mathematical Journal 14 Archiv der Mathematik 14 Positivity 13 Quaestiones Mathematicae 13 Applied Categorical Structures 11 Mathematische Zeitschrift 11 Bulletin of the American Mathematical Society 11 Proceedings of the Japan Academy 10 Bulletin of the Australian Mathematical Society 10 Annales de la Faculté des Sciences de Toulouse. Mathématiques. Série VI 9 Rocky Mountain Journal of Mathematics 9 Linear Algebra and its Applications 8 Rendiconti del Seminario Matematico della Università di Padova 8 Journal of Mathematical Sciences (New York) 8 Applied General Topology 7 Journal of Mathematical Analysis and Applications 7 Mathematische Annalen 5 Linear and Multilinear Algebra 5 Ukrainian Mathematical Journal 5 Journal of Soviet Mathematics 5 Mathematica Slovaca 5 Rendiconti del Circolo Matemàtico di Palermo. Serie II 5 Acta Mathematica Hungarica 5 Indagationes Mathematicae. New Series 4 Mathematical Notes 4 Mathematical Proceedings of the Cambridge Philosophical Society 4 Periodica Mathematica Hungarica 4 Compositio Mathematica 4 Glasgow Mathematical Journal 4 Siberian Mathematical Journal 4 Soft Computing 4 Journal of the Australian Mathematical Society 3 Acta Mathematica Academiae Scientiarum Hungaricae 3 Acta Mathematica 3 Annali di Matematica Pura ed Applicata. Serie Quarta 3 Bulletin de la Société Mathématique de France 3 Journal of Functional Analysis 3 Journal of the Korean Mathematical Society 3 Annals of Pure and Applied Logic 3 Forum Mathematicum 3 Algebra Colloquium 3 Turkish Journal of Mathematics 3 Mediterranean Journal of Mathematics 3 International Electronic Journal of Algebra (IEJA) 3 Revista de la Real Academia de Ciencias Exactas, Físicas y Naturales. Serie A: Matemáticas. RACSAM 3 Categories and General Algebraic Structures with Applications 2 Israel Journal of Mathematics 2 Fuzzy Sets and Systems 2 The Journal of Symbolic Logic 2 Manuscripta Mathematica 2 Mathematische Nachrichten 2 Mathematika 2 Bulletin of the Iranian Mathematical Society 2 Order 2 Discrete Mathematics and Applications 2 Expositiones Mathematicae 2 Archive for Mathematical Logic 2 Matematychni Studiï 2 Acta Mathematica Sinica. English Series 2 Journal of Commutative Algebra 2 Carpathian Mathematical Publications 1 Houston Journal of Mathematics 1 Journal d’Analyse Mathématique 1 Moscow University Mathematics Bulletin 1 Studia Mathematica 1 Advances in Mathematics 1 Algebra and Logic 1 International Journal of Mathematics and Mathematical Sciences 1 Mathematical Systems Theory 1 Monatshefte für Mathematik 1 Osaka Journal of Mathematics 1 Proceedings of the Edinburgh Mathematical Society. Series II 1 Semigroup Forum 1 Theoretical Computer Science 1 Tohoku Mathematical Journal. Second Series 1 European Journal of Combinatorics 1 Bulletin of the Korean Mathematical Society 1 Acta Applicandae Mathematicae 1 Graphs and Combinatorics 1 Revista Matemática Iberoamericana 1 International Journal of Algebra and Computation 1 Aequationes Mathematicae 1 Bulletin of the American Mathematical Society. New Series 1 Russian Mathematics 1 Georgian Mathematical Journal 1 The Bulletin of Symbolic Logic 1 Theory and Applications of Categories 1 Electronic Research Announcements of the American Mathematical Society 1 Geometry & Topology 1 Journal of Group Theory 1 Algebras and Representation Theory 1 Foundations of Science ...and 15 more Serials
all top 5

#### Cited in 36 Fields

 300 General topology (54-XX) 208 Order, lattices, ordered algebraic structures (06-XX) 160 Commutative algebra (13-XX) 145 Associative rings and algebras (16-XX) 95 Functional analysis (46-XX) 59 Mathematical logic and foundations (03-XX) 38 Category theory; homological algebra (18-XX) 25 Linear and multilinear algebra; matrix theory (15-XX) 20 Field theory and polynomials (12-XX) 19 Group theory and generalizations (20-XX) 16 Combinatorics (05-XX) 14 Algebraic geometry (14-XX) 14 $$K$$-theory (19-XX) 13 Operator theory (47-XX) 12 Topological groups, Lie groups (22-XX) 12 Functions of a complex variable (30-XX) 11 Measure and integration (28-XX) 10 Real functions (26-XX) 9 Number theory (11-XX) 6 History and biography (01-XX) 5 General algebraic systems (08-XX) 3 Sequences, series, summability (40-XX) 3 Computer science (68-XX) 2 Several complex variables and analytic spaces (32-XX) 2 Abstract harmonic analysis (43-XX) 2 Game theory, economics, finance, and other social and behavioral sciences (91-XX) 2 Systems theory; control (93-XX) 1 General and overarching topics; collections (00-XX) 1 Nonassociative rings and algebras (17-XX) 1 Dynamical systems and ergodic theory (37-XX) 1 Difference and functional equations (39-XX) 1 Approximations and expansions (41-XX) 1 Geometry (51-XX) 1 Global analysis, analysis on manifolds (58-XX) 1 Probability theory and stochastic processes (60-XX) 1 Quantum theory (81-XX)