Various Topics

Book

Ring Theory: Nonsingular Rings and Modules
Pure and Applied Math. Series, No. 33
New York (1976) Dekker
Zentralblatt 336 (1977) 16001; Math. Reviews 55 (1978) 2970

Expository and Overview Articles

Understanding finite dimensional representations generically (with B. Huisgen-Zimmermann)
in Geometric and Topological Aspects of the Representation Theory of Finite Groups (J.F. Carlson, S. Iyengar, J. Pevtsova, Eds.)
Springer Proc. Math. Stat. 242
Springer (2018) Cham, pp. 131-179
Math. Reviews MR3901159
Leavitt path algebras and direct limits
in Rings, Modules, and Representations (N.V. Dung, et al., eds.)
Contemp. Math. 480 (2009) 165-187
Math. Reviews 10h:16073; Zentralblatt 1194.16012
Power-cancellation of modules
in Ring Theory II, Proceedings of the Second Oklahoma Conference (B.R. McDonald and R.A. Morris, Eds.), pp. 131-147
New York (1977) Dekker
Zentralblatt 346 (1977) 16021; Math. Reviews 55 (1978) 5698
Direct sum properties of quasi-injective modules
Bull. Amer. Math. Soc. 82 (1976) 108-110
Zentralblatt 321 (1976) 16016; Math. Reviews 53 (1977) 5665

Research Articles

Closures in varieties of representations and irreducible components (with B. Huisgen-Zimmermann)
Algebra and Number Theory 12 (2018) 379-410
Math Reviews MR3803707; Zentralblatt 1420.16008
Twist invariants of graded algebras (with M.T. Yakimov)
in Advances in Rings and Modules (S. Lopez-Permouth, J.K. Park, S.T. Rizvi, C. Roman, Eds.)
Contemp. Math. 715 (2018) 141-170
Zentralblatt 1398.16014; Math Reviews MR3852386
Understanding finite dimensional representations generically (with B. Huisgen-Zimmermann)
in Geometric and Topological Aspects of the Representation Theory of Finite Groups (J.F. Carlson, S. Iyengar, J. Pevtsova, Eds.)
Springer Proc. Math. Stat. 242
Springer (2018) Cham, pp. 131-179
Math. Reviews MR3901159
Non-affine Hopf algebra domains of Gelfand-Kirillov dimension two (with J.J. Zhang)
Glasgow Math. J. 59 (2017) 563-593
Math Reviews MR3682000; Zentralblatt 1396.16024
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
Tame and wild refinement monoids (with P. Ara)
Semigroup Forum 91 (2015) 1-27
Zentralblatt 1375.20062; Math Reviews MR3369375
LU decomposition of totally nonnegative matrices (with T.H. Lenagan)
Linear Alg. Applic. 436 (2012) 2554-2566
Math. Reviews 2890014; Zentralblatt 1236.15030
Irreducible components of module varieties: projective equations and rationality (with B. Huisgen-Zimmermann)
in New Trends in Noncommutative Algebra (Seattle 2010) (P. Ara, et al., eds.)
Contemp. Math. 562 (2012) 141-167
Math. Reviews 2905558; Zentralblatt 1262.16011
Leavitt path algebras of separated graphs (with P. Ara)
J. reine angew. Math. 669 (2012) 165-224
Math. Reviews MR2980456; Zentralblatt 1281.46050
Non-simple purely infinite rings (with G. Aranda Pino, F. Perera, and M. Siles Molina)
Amer. J. Math. 132 (2010) 563-610
Math. Reviews 11e:16064; Zentralblatt 1206.16003
Leavitt path algebras and direct limits
in Rings, Modules, and Representations (N.V. Dung, et al., eds.)
Contemp. Math. 480 (2009) 165-187
Math. Reviews 10h:16073; Zentralblatt 1194.16012
The closed-point Zariski topology for irreducible representations (with E.S. Letzter)
J. Algebra Applic. 5 (2006) 719-730
Math. Reviews 08c:16007; Zentralblatt 1111.16002
Semilattices of groups and inductive limits of Cuntz algebras (with E. Pardo and F. Wehrung)
J. reine angew. Math. 588 (2005) 1-25
Math. Reviews 07b:46088; Zentralblatt 1115.46059
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
Math. Reviews 06d:06001; Zentralblatt 1075.06001
Stable rank of corner rings (with P. Ara)
Proc. Amer. Math. Soc. 133 (2005) 379-386
Math. Reviews 05h:19001; Zentralblatt 1065.19001
Fractional skew monoid rings (with P. Ara, M.A. Gonzalez-Barroso, and E. Pardo)
J. Algebra 278 (2004) 104-126
Math. Reviews 05f:16042; Zentralblatt 1063.16033
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
The graded version of Goldie's theorem (with J.T. Stafford)
in Algebra and its Applications (Athens, OH 1999) (D.V. Huynh, S.K. Jain, and S.T. López-Permouth, Eds.), Contemp. Math. 259 (2000) 237-240
Math. Reviews 01g:16087; Zentralblatt 985.16031
Periodic flat modules, and flat modules for finite groups (with D.J. Benson)
Pacific J. Math. 196 (2000) 45-87
Math. Reviews 02c:20006; Zentralblatt 1073.20500
Repetitive resolutions over classical orders and finite dimensional algebras (with B. Huisgen-Zimmermann)
in Algebras and Modules II (I. Reiten, S. O. Smalo, and O. Solberg, Eds.)
Canad. Math. Soc. Conf. Proc. Series 24 (1998) 105-137
Zentralblatt 913.16006; Math. Reviews 99m:16007
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
Dually slender modules and steady rings (with P.C. Eklof and J. Trlifaj)
Forum Math. 9 (1997) 61-74
Math. Reviews 98a: 16001; Zentralblatt 866.16003
Stable range one for rings with many units (with P. Menal)
J. Pure Appl. Algebra 54 (1988) 261-287
Zentralblatt 653 (1989) 16013; Math. Reviews 89h: 16011
Surjective endomorphisms of finitely generated modules
Communic. in Algebra 15 (1987) 589-609
Zentralblatt 612 (1987) 16020; Math. Reviews 88d: 16010
Lengths of submodule chains versus Krull dimension in non-noetherian modules (with B. Zimmermann-Huisgen)
Math. Zeitschrift 191 (1986) 519-527
Zentralblatt 563 (1985) 16015; Math. Reviews 87f: 16021
Boundedness of direct products of torsion modules (with B. Zimmermann-Huisgen)
J. Pure Appl. Algebra 39 (1986) 251-273
Zentralblatt 581 (1986) 16001; Math. Reviews 88a: 16049
Localized group rings, the invariant basis property, and Euler characteristics
Proc. Amer. Math. Soc. 91 (1984) 523-528
Zentralblatt 513 (1984) 16008; Math. Reviews 85e: 16016
Cancellation of low-rank vector bundles
Pacific J. Math. 113 (1984) 289-302
Zentralblatt 493 (1983) 55007; Math. Reviews 86a: 18013
Centralizers in differential, pseudo-differential, and fractional differential operator rings
Rocky Mtn. J. Math. 13 (1983) 573-618
Zentralblatt 532 (1984) 16002; Math. Reviews 85b: 13039
Direct limit groups and the Keesling-Mardesic shape fibration (with T.B. Rushing)
Pacific J. Math. 86 (1980) 471-476
Zentralblatt 448 (1981) 55005; Math. Reviews 82g: 55021
Commutants of ordinary differential operators (with R.C. Carlson)
J. Diff. Eqns. 35 (1980) 339-365
Zentralblatt 406 (1980) 34020; Math. Reviews 81g: 12025
Local isomorphisms of algebras of continuous functions
J. London Math. Soc. 16 (1977) 348-356
Zentralblatt 381 (1979) 54005; Math. Reviews 58 (1979) 2203
Algebras over zero-dimensional rings (with R.B. Warfield, Jr.)
Math. Annalen 223 (1976) 157-168
Zentralblatt 317 (1976) 16004; Math. Reviews 54 (1977) 357
Choquet simplexes and $\sigma$-convex faces
Pacific J. Math. 66 (1976) 119-124
Zentralblatt 322 (1976) 31015; Math. Reviews 55 (1978) 8750
Power-cancellation of groups and modules
Pacific J. Math. 64 (1976) 387-411
Zentralblatt 308 (1976) 16016; Math. Reviews 56 (1978) 8630
Rings over which certain modules are injective (with A.K. Boyle)
Pacific J. Math. 58 (1975) 43-53
Zentralblatt 275 (1974) 16024; Math. Reviews 51 (1976) 12937
Subrings of idealizer rings
J. Algebra 33 (1975) 405-429
Zentralblatt 297 (1975) 16018; Math. Reviews 50 (1975) 9978
Strongly prime and completely torsion-free rings (with D. Handelman and J. Lawrence)
Carleton Univ. Math. Series No. 109 (1974) v+1-128
Idealizers and nonsingular rings
Pacific J. Math. 48 (1973) 395-402
Zentralblatt 248 (1973) 16012; Math. Reviews 52 (1976) 10808
Triangular representations of splitting rings
Trans. Amer. Math. Soc. 185 (1973) 271-285
Zentralblatt 276 (1974) 16021; Math. Reviews 48 (1974) 4044
Essential products of nonsingular rings
Pacific J. Math. 45 (1973) 493-505
Zentralblatt 227 (1972) 16023; Math. Reviews 47 (1974) 5048
Distributing tensor product over direct product
Pacific J. Math. 43 (1972) 107-110
Zentralblatt 237 (1973) 13007; Math. Reviews 47 (1974) 276
Singular torsion and the splitting properties
Memoirs Amer. Math. Soc. No. 124 (1972) v+1-89
Zentralblatt 242 (1973) 16018; Math. Reviews 49 (1975) 5090
Embedding nonsingular modules in free modules
J. Pure Appl. Algebra 1 (1971) 275-279
Zentralblatt 224 (1972) 16003; Math. Reviews 45 (1973) 8675
Some representation theorems for involution rings
J. Algebra 14 (l970) 299-311
Zentralblatt 188 (1970) 87; Math. Reviews 42 (1971) 7709

Author:
goodearl@math.ucsb.edu

Last Modified: August 2015

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