[1].
A note
on two generated finite groups with two defining relations, Punjab Univ. J.
Math. (
[2].
On the
evaluation of a certain arithmetical function, J. Natur.
Sci. and Math. 12(1972), 363-365 (with S.M. Kerawala).
_________----______ AFTER
DOCTORATE______----________________
[3].
Semirigid
GCD-domains, Manuscripta Math. 17(1975), 55-66.
[4].
The
construction D+XD[1/S][X], J. Algebra 53(1978),
423-439 (with D.L. Costa and J.L. Mott).
[5].
On a
result of Gilmer, J. London Math. Soc. 16 (1977), 19-20.
[6].
Rigid
elements in GCD domains, J. Natur. Sci. and Math. 17(1977), 7-14.
[7].
On unique representation domains, J. Natur. Sci. and Math. 18(1978), 19-29.
[8].
On
finite conductor domains, Manuscripta Math. 24(1978),
191-204.
[9].
On Prüfer v-multiplication domains, Manuscripta
Math. 35(1981), 1-26 (with J.L. Mott).
[10].Some polynomial characterizations of Prüfer v-multiplication domains, J. Pure Appl. Algebra 32 (1984), 231-237.
[11].The v-operation and intersections of quotient
rings of integral domains, Comm. Algebra 13(1985) 1699-1712.
[12].A general theory of almost factoriality, Manuscripta Math.
51(1985), 29-62.
__________----______AFTER I LEFT
LIBYA______----___________
[13].Overrings and dimensions of general D+ M constructions, J. Natur. Sci. and Math. 26(2)
(1986), 7-14 (with D.L. Costa and J.L. Mott ).
[14].The GCD property and irreducible quadratic
polynomials, International J. Math. 9(1986), 749-752 (with S.B. Malik and J.L. Mott).
[15].On generalized Dedekind domains, Mathematika 33(1986), 285-296.
[16].On a property of pre-Schreier
domains, Comm. Algebra 15(1987), 1895-1920.
[17].On t-invertibility,
Comm. Algebra 16(1988), 149-170 (with S.B. Malik and
J.L. Mott).
[18].The D+XD[1/S][X]
construction from GCD-domains, J. Pure Appl. Algebra
50(1988), 93-107.
[19].Two characterizations of Mori domains, Math.
Japonica 33(1988), 645-652.
[20].On generalized multiplicative functions I, J.
Natur. Sci. and Math.
28(1988), 257-268.
[21].Integral domains in which each t-ideal is divisorial, Michigan Math. J. 35(1988), 291-300 (with
[22].Ascending chain conditions and star
operations, Comm. Algebra 17(6) (1989), 1523-1533.
[23].Some characterizations of v-domains and
related questions, Colloq. Math. Vol. LVIII (1989), 1-9 (with D.D. Anderson,
D.F. Anderson, D. Costa, D. Dobbs and J.L. Mott).
[24].Some quotient based characterizations of
domains of multiplicative ideal theory, Bull. Math. Ital. (7) 3-B (1989),
455-476 (with D.D. Anderson and J.L. Mott).
[25].On t-invertibility
II, Comm. Algebra 17(8) (1989), 1955-1969 (with
[26].t-linked overrings and Prüfer v-multiplication domains, Comm. Algebra 17(11)(
1989), 2635-2852 (with D. Dobbs,
[27].On some class groups of an integral domain,
Bull. Soc. Math. Grece. 29(1988), 45-59 (with A. Bouvier).
[28].Unruly Hilbert domains, Canad.
Bull. Math. 33(1) (1990), 106-109 (with J.L. Mott).
[29].Well behaved prime t-ideals, J. Pure Appl. Algebra 65(1990), 199-207.
[30].Contents of polynomials and invertibility, Comm. Algebra 18(5) (1990), 1569-1583 (with
J.L. Mott and B. Nashier).
[31].Flatness and invertibility
of ideals, Comm. Algebra 18(7)(1990), 2151-2158.
[32].t-linked overrings as intersections of
localizations, Proc. Amer. Math. Soc. 109(3)(1990),
637-646 (with D. Dobbs,
[33].Weakly factorial domains and groups of
divisibility, Proc. Amer. Math. Soc. 109(4)(1990),
907-913. (with D.D. Anderson).
[34].Factoriality in partially ordered groups, Comm. Algebra 18(5)(1990), 1307-1322.
[35].On almost Bezout
domains, J. Algebra 142(1991), 285-309 (with D.D. Anderson).
[36].On pseudo integrality, Canad.
Math. Bull. 34(1)(1991), 15-22 (with
D.F. Anderson and
[37].Factorization in integral domains, J. Pure Appl. Algebra 69(1990),1-19 (with
D.D. Anderson and D. F. Anderson).
[38].Rings between D[X] and K[X],
[39].On Krull domains, Archiv der Math. 56(1991),
559-568 (with J.L. Mott).
[40].Splitting the t-class group, J. Pure Appl. Algebra 74( 1991), 17-37
(with D.D. Anderson and D.F. Anderson).
[41].t-linked overrings of Noetherian
weakly factorial domains, Proc. Amer. Math. Soc. 115(3)(1992),
601-604 (with M. Martin).
[42].Factorization in integral domains II, J.
Algebra 152(1992), 78-93 (with D.D. Anderson and D.F. Anderson).
[43].Finite character representations for integral
domains, Bull. Math. Ital. (7) 6-B(1992), 613-630 (with D.D. Anderson and J.L. Mott).
[44].On t-linked overrings,
Comm. Algebra 20(5)(1992), 1463-1488 (with D. Dobbs,
[45].Atomic domains in which almost all atoms are
primes, Comm. Algebra 20(5)(1992), 1447-1462 (with
D.D. Anderson and D.F. Anderson).
[46].On t-invertibility
III, Comm. Algebra 21(1993), 1189-1201 (with D.D. Anderson).
[47].t-linked extensions, the t-class group and Nagata’s Theorem, J.
Pure Appl. Algebra 86(1993), 109-124 (with D.D.
Anderson and
[48].On t-invertibility
and comparability, Commutative Ring Theory (eds. P.-J. Cahen, D. Costa, M. Fontana and S.-E. Kabbaj),
Marcel Dekker,
[49].Some locally trivial star theoretic
properties of integral domains, Commutative Ring Theory (eds. P.-J. Cahen, D. Costa, M. Fontana and S.-E. Kabbaj),
Marcel Dekker,
[50].A note on Riesz
groups, Manuscripta Math. 80(1993), 225-238.
[51].A note on triangular numbers,
[52].On a theorem of Kaplansky,
Bolletino U.M.I. (7) 8-A (1994), 397-402 (with D.D.
Anderson).
[53].P.M. Cohn’s completely primal elements, Zero-Dimensional
Commutative Rings (eds. D.F. Anderson and D. Dobbs) Marcel Dekker, New
York, 1995, 115-123 (with D.D. Anderson).
[54].On generalized unique factorization,
[55].On agreeable domains, Comm. Algebra 23 (13)
(1995), 4861-4883 (with D.D. Anderson and D. J. Kwak).
_________----_____ AFTER KIDNEY
TRANSPLANT ______----_______
[56]. Examples in modern algebra
with which students can play, Primus 6 No. 4, (1996), 351-354 (with T.
Jackson).
[57]. On t-invertibility
IV, Factorization in Integral Domains (ed. D.D. Anderson) Marcel Dekker,
New York, 1997, 221-225 (with D.D. Anderson).
[58]. Criteria for unique
factorization in integral domains, J. Pure Appl.
Algebra, 127(1998), 205-218 (with D.D. Anderson, S. T. Chapman and F.Halter-Koch)
[59]. Unique factorization in
non-atomic integral domains, Bollettino U. M. I 8(2-B) (1999) 341-352 (with D.D. Anderson and J.L. Mott).
[60]. Star operations and
primitive polynomials, Comm. Algebra 27(7)(1999) 3137-3142 (with D.D. Anderson).
[61]. Independent locally finite
intersections of localizations, Houston J. Math. 25(1999) 433-452 (with D. D.
[62]. Integral domains whose
over-rings satisfy ACC on principal ideals, Comm. Algebra 28(9)(2000), 4403-4409. (with T. Dumitrescu and Tariq Shah)
[63]. Splitting multiplicative
sets Proc. Amer. Math. Soc. 129(2001) (8), 2209-2217 (with D.
D.
[64]. Putting t-invertibility to use, Non-Noetherian
commutative ring theory, 429--457, Math. Appl., 520, Kluwer
Acad. Publ.,
[65]. Primes that become primal in
a pullback, Internat. J. Comm. Ring
Theory (Commutative rings), 201--212, Nova Sci. Publ.,
[66]. The ring D+XD[1/S][X] and t-splitting sets, Commutative algebra.
Arab. J. Sci. Eng. Sect.
C Theme Issues 26 (2001), no. 1, 3--16. (with D. D. Anderson and D.F.
Anderson) )
[67]. Distinguished domains, Internat.
J. Comm. Ring Theory (to appear) (with D.D. Anderson).
[68]. LCM-splitting sets in some
ring extensions Proc. Amer. Math. Soc. 130 (2002), no. 6, 1639—1644 (with
T. Dumitrescu).
[69]. Almost GCD domains of finite
t-character, J. Algebra 245(2001) no 1, 161-181 (with T. Dumitrescu,
Y. Lequain and J. Mott)
[70]. Various facets of rings
between D[X] and K[X], a survey article that has “half appeared” in the
proceedings of the 2001 Fez Conference (Lecture notes in Pure and Applied
Mathematics Volume 231, pp
(Marcel-Dekker 2002), under the nonsensical title, “Facets on rings
between D[X] and K[X]”. The paper has appeared as indicated below. I am
treating it as two papers because apparently Math. Reviews have done that.
[71]. Various
facets of rings between D[X] and K[X], Comm. Algebra 31(5) (2003) 2494-2540.
[72].On a property of weakly Krull domains, Proc. Amer. Soc. 131(12) (2003) 3689-3692 (with D.D.
Anderson).
[73].Almost Splitting Sets
and AGCD Domains, Comm. Algebra, 32(1)(2004),
147-158 (with D. D. Anderson and T. Dumitrescu).
[74]. Factorization of certain
sets of polynomials in an integral domain, Internat.
J. Comm. Ring Theory, 2(2003) (with D.D. Anderson and Pramod
K. Sharma)
[75]. t-Splitting sets in
integral domains, J. Pure Appl. Algebra 187,
No.1-3, 71-86 (2004). (with
G.W. Chang and T. Dumitrescu).
[76]. AP domains and unique
factorization, J. Pure Appl. Algebra 189,
No.1-3, 27-35 (2004) (with James Coykendall)
[77]. UMV domains, Arithmetical
properties of commutative rings and monoids, 304--315, Lect. Notes Pure Appl. Math.,
241, Chapman & Hall/CRC,
Boca Raton, FL, 2005 (with Evan Houston).
[78]. Weakly Krull
inside factorial domains, Arithmetical properties of commutative
rings and monoids, 172--179, Lect. Notes Pure Appl. Math.,
241, Chapman & Hall/CRC, Boca Raton, FL, 2005 (with D.D.
Anderson and G.W. Chang).
[79]. A note on almost GCD monoids, Semigroup Forum Volume
69, Number 1(2004), 141-154
(with DD Anderson).
[80]. t-splitting sets of
ideals, J. Pure Appl. Algebra 197(1-3)(2005) 239--248. (with Gyu Whan
Chang and T. Dumitrescu)
[81]. The
half factorial property and the domains of the form A+XB[X], Houston J. Math.
32(1)(2006) 33-46 (with J. Coykendall
and T. Dumitrescu)
[82]. w-integral closure of
integral domains, The w-integral closure of integral domains. J. Algebra 295(1)(2006) 195--210. (with G. W. Chang).
[83]. The
Schreier Property and Gauss’ Lemma (with D.D.
Anderson)
[84]. Quasi Schreier
domains II (
with Dan Anderson and Tiberiu Dumitrescu)
Comm. Algebra 35(7)(2007), 2096-2104.
[85]. What
v-coprimality can do for you, Multiplicative
ideal theory in commutative algebra, 387--404, Springer,
[86]. Pseudo almost integral
elements (with Dan Anderson) Comm. Algebra 35(4)(2007),
1127-1131.
[87]. Monoid
domain constructions of antimatter domains (with Dan Anderson, Linda Hill and
Jim Coykendall) Comm. Algebra 35
(2007), no. 10, 3236--3241
[88]. Factoriality
in Riesz groups (with Joe Mott and Muneer Rashid) J. Group Theory, 11(1)(2008),
23-41.
[89]. Unique representation domains
II (with Said El-Baghdadi and
[90]. Some remarks on Prufer *-multiplication domains and class groups, (with
David Anderson and Marco Fontana) J. Algebra 319(1)(2008), 272-295.
[91]. Almost Bezout domains, III, (with Dan Anderson) Bull. Math. Soc. Sci. Math. Roumanie Tome 51(99) No. 1 (2008), 3-9.
[92]
Some applications of Zorn’s Lemma in Algebra, (with Dan Anderson and David
Dobbs), to appear