Von Neumann Regular Rings

Book

Von Neumann Regular Rings

Monographs and Studies in Math., No. 4

London (1979) Pitman

Zentralblatt 411 (1980) 16007; Math. Reviews 80e:16011;

Bull. Amer. Math. Soc. 3 (1980) 752-757

Second Edition:

Malabar, FL (1991) Krieger

Zentralblatt 749 (1992) 16001; Math. Reviews 93m:16006

Expository and Overview Articles

Von Neumann regular rings and direct sum decomposition problems

in Abelian Groups and Modules, Padova 1994 (A. Facchini and C. Menini, Eds.), pp. 249-255

Dordrecht (1995) Kluwer

Zentralblatt 841.16008

Partially ordered Grothendieck groups

in Algebra and Its Applications (H.L. Manocha and J.B. Srivastava, Eds.), pp. 71-90

New York (1984) Dekker

Zentralblatt 544 (1985) 16011

Von Neumann regular rings: Connections with functional analysis

Bull. Amer. Math. Soc. 4 (1981) 125-134

Zentralblatt 467 (1982) 16020; Math. Reviews 82d:16012

Regular rings and rank functions

in Noncommutative Ring Theory Kent State 1975 (J.H. Cozzens and F.L. Sandomierski, Eds.), pp. 83-104

Lecture Notes in Math. No. 545

Berlin (1976) Springer-Verlag

Zentralblatt 341 (1977) 16006; Math. Reviews 55 (1978) 401

Research Articles

The realization problem for some wild monoids and the Atiyah problem (with P. Ara)

Trans. Amer. Math. Soc. 369 (2017) 5665-5710

Math Reviews MR3646775; Zentralblatt 1405.16013

The complete dimension theory of partially ordered systems with equivalence and orthogonality (with F. Wehrung)

Memoirs Amer. Math. Soc. No. 831 (2005) viii+1-117

Zentralblatt 1075.06001; Math. Reviews 06d:06001

K₀ of purely infinite simple regular rings (with P. Ara and E. Pardo)

K-Theory 26 (2002) 69-100

Zentralblatt 1012.16013; Math. Reviews 04e:19001

Representations of distributive semilattices in ideal lattices of various algebraic structures (with F. Wehrung)

Algebra Universalis 45 (2001) 71-102

Math. Reviews 02g:06008; Zentralblatt 1039.06003

K₁ of separative exchange rings and C*-algebras with real rank zero (with P. Ara, K. C. O'Meara, and R. Raphael)

Pacific J. Math. 195 (2000) 261-275

Math. Reviews 01m:46155; Zentralblatt 1108.46311

Separative cancellation for projective modules over exchange rings (with P. Ara, K. C. O'Meara, and E. Pardo)

Israel J. Math. 105 (1998) 105-137

Math. Reviews 99g:16006; Zentralblatt 908.16002

Diagonalization of matrices over regular rings (with P. Ara, K. C. O'Meara, and E. Pardo)

Linear Algebra Applic. 265 (1997) 147-163

Zentralblatt 883.15006; Math. Reviews 98i:16013

Torsion in K₀ of unit-regular rings

Proc. Edinburgh Math. Soc. 38 (1995) 331-341

Zentralblatt 821 (1995) 16008; Math. Reviews 97c:16010

K-theoretically simple von Neumann regular rings (with P. Ara, E. Pardo, and D.V. Tyukavkin)

J. Algebra 174 (1995) 531-552

Math. Reviews 96g:16012; Zentralblatt 837.16008

K₀ of regular rings with bounded index of nilpotence

in Abelian Group Theory and Related Topics (R. Göbel, P. Hill, and W. Liebert, Eds.)

Contemp. Math. 171 (1994) 173-199

Math. Reviews 95h:16008; Zentralblatt 816 (1995) 16012

Free and residually artinian regular rings (with P. Menal and J. Moncasi)

J. Algebra 156 (1993) 407-432

Math. Reviews 94f:16025; Zentralblatt 780.16006

The almost isomorphism relation for simple regular rings (with P. Ara)

Publ. Mat. (Barcelona) 36 (1992) 369-388

Math. Reviews 94f:16024; Zentralblatt 792.16013

Cancellation of finitely generated modules over regular rings (with J. Moncasi)

Osaka J. Math. 26 (1989) 679-685

Zentralblatt 716 (1991) 16007; Math. Reviews 91b:16013

Classification of ring and C*-algebra direct limits of finite-dimensional semisimple real algebras (with D.E. Handelman)

Memoirs Amer. Math. Soc. No. 372 (1987) vii + 1-147

Zentralblatt 629 (1988) 46053; Math. Reviews 88k: 46067

Tensor products of dimension groups and K₀ of unit-regular rings (with D.E. Handelman)

Canadian J. Math. 38 (1986) 633-658

Zentralblatt 608 (1987) 16027; Math. Reviews 87i:16043

Directly finite aleph-nought-continuous regular rings

Pacific J. Math. 100 (1982) 105-122

Zentralblatt 453 (1981) 16007; Math. Reviews 83j:16022

Metrically complete regular rings

Trans. Amer. Math. Soc. 272 (1982) 275-310

Zentralblatt 494 (1983) 16007; Math. Reviews 83i:16014

Extensions of simple by simple unit-regular rings

in Ring Theory Antwerp 1980 (F. Van Oystaeyen, Ed.), pp. 42-58

Lecture Notes in Math. No. 825

Berlin (1980) Springer-Verlag

Zentralblatt 446 (1981) 16010; Math. Reviews 82m:16009

Affine representations of Grothendieck groups and applications to Rickart C*-algebras and Aleph₀-continuous regular rings (with D.E. Handelman and J.W. Lawrence)

Memoirs Amer. Math. Soc. No. 234 (1980) vii+1-163

Zentralblatt 435 (1981) 16005; Math. Reviews 81f:16040

Artinian and noetherian modules over regular rings

Communic. in Algebra 8 (1980) 477-504

Zentralblatt 438 (1981) 16006; Math. Reviews 81g:16015

Homogenization of regular rings of bounded index (with D.E. Handelman)

Pacific J. Math. 84 (1979) 63-78

Zentralblatt 388 (1979) 16012; Math. Reviews 81f:16020

Centers of regular self-injective rings

Pacific J. Math. 76 (1978) 381-395

Zentralblatt 351 (1978) 16007; Math. Reviews 58 (1979) 28059

Completions of regular rings. II

Pacific J. Math. 72 (1977) 423-459

Zentralblatt 337 (1977) 16002; Math. Reviews 57 (1979) 16354

Algebraic representations of Choquet simplexes

J. Pure Appl. Algebra 11 (1977) 111-130

Zentralblatt 372 (1978) 16009; Math. Reviews 57 (1979) 6147

Dimension theory for nonsingular injective modules (with A.K. Boyle)

Memoirs Amer. Math. Soc. No. 177 (1976) vii+1-112

Zentralblatt 335 (1977) 16024; Math. Reviews 55 (1978) 3001

Completions of regular rings

Math. Annalen 220 (1976) 229-252

Zentralblatt 321 (1976) 16010; Math. Reviews 53 (1977) 13296

Rank functions and K₀ of regular rings (with D. Handelman)

J. Pure Appl. Algebra 7 (1976) 195-216

Zentralblatt 321 (1976) 16009; Math. Reviews 52 (1976) 10794

Simple self-injective rings (with D. Handelman)

Communic. in Algebra 3 (1975) 797-834

Zentralblatt 311 (1976) 16029; Math. Reviews 52 (1976) 498

Simple regular rings and rank functions

Math. Annalen 214 (1975) 267-287

Zentralblatt 285 (1975) 16008; Math. Reviews 53 (1977) 13295

Simple self-injective rings need not be artinian

Communic. in Algebra 2 (1974) 83-89

Zentralblatt 267 (1974) 16011; Math. Reviews 50 (1975) 402

Prime ideals in regular self-injective rings. II

J. Pure Appl. Algebra 3 (1973) 357-373

Zentralblatt 272 (1974) 16016; Math. Reviews 48 (1974) 8561

Prime ideals in regular self-injective rings

Canadian J. Math. 25 (1973) 829-839

Zentralblatt 229 (1972) 16021; Math. Reviews 48 (1974) 4037