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; Zentralblatt 1544.16011

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

Levels of cancellation for monoids and modules (with P. Ara, P.P. Nielsen, K.C. O'Meara, E. Pardo, and F. Perera)

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; Zentralblatt 1544.16011

Twist invariants of graded algebras (with M.T. Yakimov)

Advances in Rings and Modules (S. L\'opez-Permouth, J.K. Park, S.T. Rizvi, C. Roman, Eds.)

Contemp. Math. 715 (2018) 141-170

Zentralblatt 1398.16014; Math Reviews MR3852386

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

Totally nonnegative cells and matrix Poisson varieties (with S. Launois and T. H. Lenagan)

Advances in Math. 226 (2011) 779-826

Math. Reviews 12e:53162; Zentralblatt 1210.14055

Torus-invariant prime ideals in quantum matrices, totally nonnegative cells and symplectic leaves (with S. Launois and T. H. Lenagan)

Math. Zeitschrift 269 (2011) 29-45

Math. Reviews 12h:16071; Zentralblatt 1234.16018

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