Susan Montgomery

Q: What Schools Are Affiliated With Susan Montgomery

Susan Montgomery is affiliated with the following schools: University of California, Berkeley, California Institute of Technology, University of Michigan, Princeton University, University of Southern California, Stanford University, University of Chicago

Susan Montgomery's AcademicInfluence.com Rankings

Susan Montgomery

Mathematics

#1539

World Rank

#2505

Historical Rank

#627

USA Rank

Measure Theory

#1701

World Rank

#2092

Historical Rank

#551

USA Rank

mathematics Degrees

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Mathematics

Susan Montgomery's Degrees

PhD Mathematics University of California, Berkeley
Masters Mathematics University of California, Berkeley
Bachelors Mathematics University of California, Berkeley

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Why Is Susan Montgomery Influential?

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According to Wikipedia, M. Susan Montgomery is a distinguished American mathematician whose current research interests concern noncommutative algebras: in particular, Hopf algebras, their structure and representations, and their actions on other algebras. Her early research was on group actionss on rings.

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Susan Montgomery's Published Works

Number of citations in a given year to any of this author's works

Total number of citations to an author for the works they published in a given year. This highlights publication of the most important work(s) by the author

Published Works

Hopf algebras and their actions on rings (1993) (2528)
Group-graded rings, smash products, and group actions (1984) (357)
Crossed products and inner actions of Hopf algebras (1986) (275)
Fixed Rings of Finite Automorphism Groups of Associative Rings (1980) (252)
Crossed products and Galois extensions of Hopf algebras. (1989) (172)
Lie structure of prime rings of characteristic $2$. (1972) (169)
Engineering Students' Perceptions of and Attitudes Towards Cheating (2006) (156)
Addressing diverse learning styles through the use of multimedia (1995) (154)
Frobenius extensions of subalgebras of Hopf algebras (1997) (114)
A Frobenius–Schur Theorem for Hopf Algebras (2000) (108)
A duality theorem for Hopf module algebras (1985) (105)
Hopf Galois extensions, smash products, and Morita equivalence (1990) (103)
New directions in Hopf algebras (2002) (102)
Semiprime Skew Group Rings (1978) (80)
Irreducible representations of crossed products (1998) (71)
Indecomposable coalgebras, simple comodules, and pointed Hopf algebras (1995) (69)
Computing the Frobenius–Schur Indicator for Abelian Extensions of Hopf Algebras☆☆☆ (2001) (63)
Constructing Simple Lie Superalgebras from Associative Graded Algebras (1997) (62)
A Schur Double Centralizer Theorem for Cotriangular Hopf Algebras and Generalized Lie Algebras (1994) (59)
Crossed products over prime rings (1978) (58)
Group Gradings on Simple Lie Algebras of Type "A" (2005) (55)
The current state of research on academic dishonesty among engineering students (2001) (53)
Advances in Hopf algebras (1994) (50)
Family conditions and dietary control in phenylketonuria (2007) (49)
Digital Preservation Needs and Requirements in RLG Member Institutions (1998) (49)
Fixed Rings of Noetherian Rings (1981) (47)
On the generalized Lie structure of associative algebras (1996) (45)
On the trace of the antipode and higher indicators (2009) (42)
Prime ideals in Hopf galois extensions (1999) (41)
Smash products and outer derivations (1986) (41)
Hopf Galois theory: A survey (2009) (33)
Bicharacters, Twistings, and Scheunert's Theorem for Hopf Algebras (2001) (33)
Radicals of crossed products of enveloping algebras (1987) (31)
Outer Automorphisms of Semi‐Prime Rings (1978) (30)
Prime ideals in fixed rings (1981) (27)
Hopf Crossed Products, Rings of Quotients, and Prime Ideals (1995) (27)
A generalization of a theorem of Jacobson (1971) (27)
$X$-inner automorphisms of filtered algebras. II (1981) (26)
SKEW DERIVATIONS OF FINITE-DIMENSIONAL ALGEBRAS AND ACTIONS OF THE DOUBLE OF THE TAFT HOPF ALGEBRA (2001) (26)
SKEW DERIVATIONS AND Uq(sl(2)) (1990) (26)
SELECTING COMPUTER‐AIDED INSTRUCTIONAL SOFTWARE (1996) (25)
Frobenius-Schur indicators for subgroups and the Drinfel’d double of Weyl groups (2007) (25)
The prime radical in special Jordan rings (1971) (24)
Biinvertible actions of Hopf algebras (1993) (22)
Some remarks on filtrations of hopf algebras (1993) (22)
Skew derivations andUq (sl(2)) (1990) (22)
Interactive computer modules for undergraduate chemical engineering instruction (1992) (21)
Invertible and regular elements in rings with involution (1973) (21)
Stable Jacobson Radicals and Semiprime Smash Products (2005) (20)
A note on division rings with involutions. (1971) (19)
P.A.C.E.S. - A study on academic integrity among engineering undergraduates (preliminary conclusions). (2002) (19)
Group gradings on simple Lie algebras in positive characteristic (2008) (18)
Von neuman finiteness of tensor products of algebras (1983) (18)
Ideals and Quotients in Crossed Products of Hopf Algebras (1992) (17)
Representations of Some Hopf Algebras Associated to the Symmetric Group Sn (2007) (17)
Rings of quotients for a class of special Jordan rings (1974) (17)
On yetter-drinfeld categories and H-commutativity (1999) (16)
Algebras with a separable subalgebra whose centralizer satisfies a polynomial identity (1975) (16)
$FSZ$-groups and Frobenius-Schur Indicators of Quantum Doubles (2012) (15)
Centralizers satisfying polynomial identities (1974) (15)
The jacobson radical and fixed rings of automorphisms (1976) (15)
A Structure Theorem and a Positive-Definiteness Condition in Rings with Involution+ (1976) (14)
Automorphism groups of rings with no nilpotent elements (1979) (14)
Pi-envelopes of Lie superalgebras (1999) (14)
Semiprime smash products and H-stable prime radicals for PI-algebras (2007) (14)
Student preceptions of institutional and instructor based techniques for dealing with academic dishonesty (2002) (14)
Some remarks on affine rings (1986) (14)
Integrality and prime ideals in fixed rings of P.I. rings (1984) (13)
Outer Galois theory prime rings (1984) (13)
Galois theory of prime rings (1984) (12)
Crossed Products of Hopf Algebras and Enveloping Algebras (1988) (11)
The normal closure of coproducts of domains (1983) (11)
Hopf powers and orders for some bismash products (2004) (11)
Algebraic analogs of the Connes spectrum (1988) (11)
Chinese Academics Consider a 'Culture of Copying' (2002) (11)
On invertible bimodules and automorphisms of noncommutative rings (1994) (10)
Rings with Involution in which Every Trace is Nilpotent or Regular (1974) (9)
Hopf automorphisms and twisted extensions (2016) (9)
Semi-Simple Artinian Rings of Fixed Points (1975) (9)
Addendum to: “Group-graded rings, smash products, and group actions” [Trans. Amer. Math. Soc. 282 (1984), no. 1, 237–258; MR0728711 (85i:16002)] (1987) (9)
Algebra Properties invariant under Twisting (2019) (9)
Prime ideals in fixed rings II (1982) (9)
Generalized Lie Solvability of Associative Algebras (2003) (9)
Addendum to "Group-Graded Rings, Smash Products, and Group Actions" (1987) (8)
Addressing diverse learning styles in a large classroom (1995) (7)
Polycharacters of Cocommutative Hopf Algebras (2002) (7)
Invariants of finite cyclic groups acting on generic matrices (1986) (7)
Multimedia materials for chemical engineering: Module development and lessons learned (1996) (6)
Algebraic algebras with involution (1972) (6)
Group Actions on Rings (1985) (6)
Structure of a Certain Class of Rings with Involution (1975) (6)
Group Actions on Rings: Some Classical Problems (1984) (5)
X-inner automorphisms of crossed products and semi-invariants of Hopf algebras (1986) (4)
Modular Representations and Indicators for Bismash Products (2012) (4)
A generalized Picard group for prime rings (1990) (4)
Polynomial identity algebras with involution (1971) (4)
Trace functions for finite automorphism groups of rings (1980) (4)
Trace-like functions on rings with no nilpotent elements (1982) (4)
Nil subsets of graded algebras (1998) (4)
Chain conditions on symmetric elements (1974) (3)
A Secret To Large Classes Showing You Care (1997) (3)
Addressing the variety of learning styles of chemical engineering students using multimedia (1995) (3)
Lecturer - An Alternative to the Tenure Track (2002) (3)
Prime ideals in fixed rings of free algebras (1987) (3)
Centralizers of separable subalgebras. (1975) (3)
Skew group rings and applications to modules (1980) (2)
Krull relations in Hopf Galois extensions: Lifting and twisting (2005) (2)
A Hands On Course On Teaching Engineering (2008) (2)
Cocycle deformations and Galois objects for semisimple Hopf algebras of dimension p3 and pq2 (2016) (2)
Group gradings and actions of pointed Hopf algebras (2020) (1)
Special session: What works to retain students in chemical engineering programs (2011) (1)
Trace functions and affine fixed rings for groups acting on non-commutative rings (1982) (1)
OFFICERS OF THE BOARD (2015) (1)
Invariant Subgroups in Rings with Involution (1978) (1)
Normalizing elements of the trace ring of generic matrices (1989) (1)
Representations of some Hopf algebras associated to the symmetric groups, preprint (1)
Teaching Tip: Visual Encyclopedia of Chemical Engineering Equipment (2015) (1)
Definitions and examples (chapter 1) (1993) (1)
Simple rings: Inner and outer automorphisms, simple fixed rings, R as an RG-module (1980) (0)
Rings with no nilpotent elements: Existence of fixed elements and traces (1980) (0)
Some quantum groups (appendix) (1993) (0)
Teaching Tip: Addressing a Diverse Student Population (2018) (0)
The Importance and achievement of work values and locus of control as factors in work motivation (1987) (0)
Incorporating the Online Encyclopedia of Chemical Engineering Equipment Into Your Course Activities (2014) (0)
Foreword (2011) (0)
Faculty Duet Recital (2012) (0)
Integrals and semisimplicity (chapter 2) (1993) (0)
Change in the Classroom (2009) (0)
Book Review: Infinite crossed products (1991) (0)
Design, The Next Generation: A First Year Course In Product Design (2008) (0)
TRACE-LIKE FUNCTIONS ON RINGS (2016) (0)
Inner actions (chapter 6) (1993) (0)
Challenges of Research Ethics Education in the University: The View from University Offices of Research (2012) (0)
On the trace of the antipode and higher indicators (2011) (0)
A course on teaching engineering (1999) (0)
A pr 2 00 0 A Frobenius-Schur theorem for Hopf algebras (2008) (0)
Using Libguides to Support Library Instruction (2008) (0)
USING DSOS TO FIND FAULTS (1998) (0)
H. Scott Fogler Festschrift preface (2015) (0)
Inner and outer automorphisms of semiprime rings (1980) (0)
Review: D. S. Passman, Infinite crossed products (1991) (0)
DINNER AUTOMORPHISMS OF FILTERED ALGEBRAS i (2010) (0)
New constructions from quantum groups (chapter 10) (1993) (0)
HOPF POWERS AND ORDERS FOR SOME BISMASH (0)
Q A ] 2 8 O ct 2 00 9 ON THE TRACE OF THE ANTIPODE AND HIGHER (2009) (0)
A Century of Ceramics in the United States: 1878-1978. Exh. Cat. Everson Museum of Art (1982) (0)
Computers and composition: Theory and corresponding software (1993) (0)
Freeness over subalgebras (chapter 3) (1993) (0)
Actions of finite-dimensional Hopf algebras and smash products (chapter 4) (1993) (0)
Galois extensions (chapter 8) (1993) (0)
PROGRESS ON SOME PROBLEMS ABOUT GROUP ACTIONS (1988) (0)
Crossed products (chapter 7) (1993) (0)
A Century of Ceramics in the United States: 1878–1978 by Garth Clark (review) (1982) (0)
R T ] 2 J an 2 01 6 HOPF AUTOMORPHISMS AND TWISTED EXTENSIONS (2021) (0)
Duality (chapter 9) (1993) (0)
Daphnis and Chloe by Longus (review) (2017) (0)
Rings with no |G|-torsion: Existence of fixed elements, the prime radical and Jacobson radical of RG (1980) (0)
Hopf Algebras, Tensor Categories and Related Topics (2021) (0)
Coradicals and filtrations (chapter 5) (1993) (0)
Vieira da Silva by Jacques Lassaigne and Guy Weelen (review) (2017) (0)

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What Schools Are Affiliated With Susan Montgomery?

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