Boris M. Schein | Academic Influence

Boris M. Schein's AcademicInfluence.com Rankings

Boris M. Schein

Mathematics

#4483

World Rank

#6360

Historical Rank

#1539

USA Rank

Measure Theory

#3382

World Rank

#3994

Historical Rank

#975

USA Rank

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Mathematics

Boris M. Schein'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 Boris M. Schein Influential?

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According to Wikipedia, Boris Moiseyevich Schein was a Russian-American mathematician, an expert in semigroups, and a Distinguished Professor in the Department of Mathematical Sciences at the University of Arkansas. Biography Schein was born in Moscow on 22 June 1938, and moved to Saratov during World War II. He became interested in mathematics as a teenager, and came under the influence of Viktor Wagner, a professor of mathematics at Saratov State University. Schein did his undergraduate studies in Mechanics-Mathematics at Saratov State, and chose to specialize in geometry, Wagner's subject. In 1958 he solved the problem of characterizing the semigroups that could be embedded into an inverse semigroup. He graduated summa cum laude in 1960. He continued working as a graduate student with Wagner, and in 1962 defended a candidacy dissertation on semigroups of transformations at the Herzen State Pedagogical University of Russia in Saint Petersburg. He accepted a faculty position at Saratov in 1963, and defended his Doctor of Sciences thesis in 1966, again at Herzen State Pedagogical University.

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Boris M. Schein'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

The Gaussian parallel relay network (2000) (335)
Relation algebras and function semigroups (1970) (110)
Homomorphisms and subdirect decompositions of semi-groups. (1966) (91)
Algebras of multiplace functions (2012) (77)
Ordered sets, semilattices, distributive lattices and Boolean algebras with homomorphic endomorphism semigroups (1970) (75)
Regular elements of the semigroup of all binary relations (1976) (54)
Completions, translational hulls and ideal extensions of inverse semigroups (1973) (52)
Representations of ordered semigroups and lattices by binary relations (1978) (50)
Automorphisms of the endomorphism semigroup of a free monoid or a free semigroup (2003) (44)
On the Theory of Inverse Semigroups and Generalised Grouds (1979) (38)
Free inverse semigroups are not finitely presentable (1975) (33)
Endomorphisms of finite full transformation semigroups (1998) (25)
A combinatorial property of finite full transformation semigroups (1988) (24)
Injectives in certain classes of semigroups (1974) (22)
Addendum to a survey of semigroups of continuous selfmaps (1977) (21)
On the definition of distributive semilattices (1972) (21)
Endomorphisms of Finite Symmetric Inverse Semigroups (1997) (20)
Automorphisms of Baer-Levi semigroups (1983) (20)
Groups of binary relations (1970) (18)
A construction for idempotent binary relations (1970) (18)
Representation of involuted semigroups by binary relations (1974) (17)
Automorphisms of the Endomorphism Semigroup of a Free Inverse Semigroup (2006) (15)
A new proof for the McAlister “P-Theorem” (1975) (15)
Products of Idempotent Order-Preserving Transformations (1973) (15)
Products of idempotent order-preserving transformations of arbitrary chains (1975) (14)
A new construction for free inverse semigroups (2005) (14)
A remark concerning congruences on [0-]bisimple inverse semigroups (1971) (12)
Stationary subsets, stabilizers and transitive representations of semigroups (1970) (12)
Sub-optimal power spectra for colored Gaussian channels (1997) (11)
The semigroup of one-to-one transformations with finite defects (1989) (10)
The minimal degree of a finite inverse semigroup (1992) (10)
A representation theorem for lattices (1972) (9)
Group and semigroup theoretic considerations inspired by inverse problems of the additive number theory (1988) (9)
Subsemigroups of inverse semigroups (1997) (9)
Bands with isomorphic endomorphism semigroups (1985) (9)
Fundamentals of Semigroup Theory by John M. Howie (1999) (8)
The theory of operations as the general theory of groups (1972) (8)
Representation of inverse semigroups by local automorphisms and multi-automorphisms of groups and rings (1985) (8)
On exclusive semigroups (1971) (6)
Victor Vladimirovich Vagner (1908–1981) (1981) (6)
Anti-uniform semilattices (1969) (6)
Every semigroup is isomorphic to a transitive semigroup of binary relations (1997) (5)
Algebra of conscience. A comparative analysis of Western and Soviet ethical systems. (Theory and Decision Library, Vol. 26.) : Vladimir A. Lefebvre, Dordrecht: Reidel, 1982, pp. xxvii–194, $37.00. (1984) (5)
An example of two non-isomorphic finite subdirectly irreducible bands generating the same variety of bands (1972) (5)
Interconnections between the structure theory of set addition and rewritability in groups (1991) (5)
Subdirectly irreducible infinite bands: An example (1966) (5)
Noble inverse semigroups with bisimple core (1987) (5)
Involuted Restrictive Bisemigroups of Binary Relations (1969) (4)
Inverse semigroups: The theory of partial symmetries (2002) (4)
Semigroups of tolerance relations (1987) (3)
Endomorphisms of symmetric semigroups of functions on a finite set (1998) (3)
Pseudosimple commutative semigroups (1981) (3)
SEMIGROUPS OF FORGETFUL ENDOMORPHISMS OF A FINITE BOOLEAN ALGEBRA (1985) (3)
The Structure of Left Crpp Semigroups (3)
On some problems in the theory of partial automata (1969) (3)
Linearly fundamentally ordered semigroups (1971) (3)
Ideal extensions of irreductive semigroups (1974) (2)
Bands of unipotent monoids (1973) (2)
On semisimple bands (1978) (2)
Bands of semigroups: variations on a Clifford Theme (1996) (2)
Compatible function semigroups (1973) (2)
Tight inverse semigroups that are not bisimple (2003) (2)
Semigroups of cosets of semigroups: variations on a Dubreil theme (1995) (2)
A new representation theorem for completely [O-] simple semigroups (1972) (1)
TIGHT INVERSE SEMIGROUPS (2003) (1)
Structure ofR(3,3)-groups (1992) (1)
Evgeniy Sergeyevich Lyapin—In Memoriam (2007) (1)
Generalized Groups with the Well-Ordered Set of Idempotents (1964) (1)
Injective commutative semigroups (1976) (1)
Techniques of semigroup theory (1994) (1)
A note on radicals in regular semigroups (1971) (1)
Semigroups Characterizing Hypergraphs (1985) (1)
Automorphisms of polynomial semigroups (1970) (1)
On Finite Semigroups Embeddable in Inverse Semigroups (2001) (1)
Algebraic Complexity of Strategy-implementing Semiautomata for Repeated-play Games (2007) (1)
History of non-euclidean geometry. The development of the concept of geometric space (1979) (1)
Transitive representations of inverse semigroups (2014) (1)
Ordered sets which support inverse semigroups: Three examples (1984) (0)
Strongly regular rings (1985) (0)
English translations of semigroup papers (1989) (0)
ON FINITELY GENERATED SUBSEMIGROUPS (1971) (0)
Eduard Grigorievich Shutov (1982) (0)
NEW CLASSES OF IDEALS IN SUBTRACTION ALGEBRAS (2011) (0)
L. M. Gluskin in Memoriam (1986) (0)
L. M. Gluskin (1922–1985) (1985) (0)
Book Review (1997) (0)
Decompositions of semigroups (1993) (0)
Orderings on semirings (2007) (0)
On two papers of B. M. Schein (1981) (0)
Minimal group congruence need not be smallest (1972) (0)
Finite semigroups and universal algebra (1996) (0)
Semigroups of constant maps (1985) (0)
Injective hulls of monars over inverse semigroups (2013) (0)
Commutative semigroups all of whose subsemigroups are densely embedded (1975) (0)
Erratum to “automorphisms of polynomial semigroups” (1971) (0)

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