Muhammad Zafrullah, Department of Mathematics,

Idaho State University, Pocatello ID 83209

[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 LEAVING
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].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. Anderson).

[64]. Putting t-invertibility to use, *Non-Noetherian
commutative ring theory, *429--457, Math. Appl., 520, *Kluwer** Acad. **Publ**., Dordrecht,* 2000.

[65]. Primes that become primal in
a pullback, Internat. J. Comm. Ring
Theory (*Commutative rings), *201--212, *Nova Sci. Publ., Hauppauge, NY,*
2002.
(with T. Dumitrescu and

[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, * 2006.

[86]. Pseudo almost integral
elements (with Dan Anderson) Comm. Algebra 35(4)(2007),
1127-1131.

[87]. Monoid
domain constructions of antimatter domains, Comm. Algebra 35
(2007), no. 10, 3236--3241 (with
Dan Anderson, Linda Hill and Jim Coykendall).

[88]. Factoriality
in Riesz groups J. Group Theory, 11(1)(2008), 23-41 (with Joe Mott and Muneer
Rashid).

[89]. Unique representation
domains, II, J. Pure Appl. Algebra, 212(2008), 376-393 (with Said El-Baghdadi
and S. Gabelli).

[90]. Some
remarks on Prufer *-multiplication domains and class
groups, J. Algebra 319(1) (2008), 272-295(with David Anderson and Marco
Fontana).

[91]. Almost Bezout domains, III, Bull. Math. Soc. Sci. Math. Roumanie, Tome 51(99) No. 1 (2008), 3-9 (with Dan Anderson).

[92]. Some applications of Zorn’s Lemma in Algebra, Tamkang J. Math. 40(2)(2009), 139-150 (with Dan Anderson and David Dobbs).

[93]. On v-domains and star operations, Comm. Algebra 37(2009) 1-26 (with Dan Anderson, David Anderson and Marco Fontana).

[94].
Splitting sets and weakly Matlis domains, Fontana, Marco (ed.) et al., Commutative
algebra and its applications. Proceedings of the fifth
international Fez conference on commutative algebra and applications, Fez,
Morocco, June 23--28, 2009. Berlin: Walter de Gruyter.
1-8 (2009) (with Dan Anderson).

[95].
On v-domains: a survey, **in
"Commutative Algebra: Noetherian and non-Noetherian Perspectives" (M.
Fontana, S. Kabbaj, B. Olberding,
and I. Swanson Editors), Springer, New York, 2011.**
(with Marco Fontana).

[96]. $t$-invertibility and Bazzoni-like statements J. Pure Appl. Algebra 214(2010), 654-657.

[97]. Integral domains in which nonzero locally principal ideals are invertible, Comm. Algebra (accepted for publication) (with Dan Anderson).

[98]. A “v-operation free” approach to Prufer v-multiplication domains, IJMMS, doi:10.1155/2009/349010 (with Marco Fontana).

[99].
*t*-Schreier domains, Comm. Algebra (accepted
for publication) (with T. Dumitrescu).

[100]. Characterizing domains of finite *-character, J. Pure Appl. Algebra, 214 (2010), 2087-2091) (with T. Dumitrescu).

[101]. *-Finite ideals contained in infinitely many *s-maximal ideals, Rendiconti del Circolo Matematico di Palermo, 2011, Volume 60, Number 3, Pages 319-322 (with Dan Anderson).

[102]. The v-operation in extensions of integral domains, J. Algebra Appl., 11(1)(2012) (18 pages) (Abstract: http://dx.doi.org/10.1142/S0219498811005312) (with David Anderson and said El-Baghdadi)

[103]. Bases of pre-Riesz groups
and Conrad’s F-condition, Arabian Journal for Science and Engineering, 2011, Volume 36, Number 6, Pages
1047-1061 (with Y.C. Yang).

[104 Integral domains of finite
t-character, J. Algebra (to appear) (With D.D. Anderson and G.W. Chang)