shmuel rosset - Academia.edu (original) (raw)

Papers by shmuel rosset

Research paper thumbnail of Some non-finitely presented Lie Algebras

arXiv (Cornell University), Nov 27, 1996

Let L be a free Lie algebra over a field k, I a non-trivial proper ideal of L, n > 1 an integer. ... more Let L be a free Lie algebra over a field k, I a non-trivial proper ideal of L, n > 1 an integer. The multiplicator H 2 (L/I n , k) of L/I n is not finitely generated, and so in particular, L/I n is not finitely presented, even when L/I is finite dimensional.

Research paper thumbnail of Elements of Trace Zero in Central Simple Algebras

Research paper thumbnail of Procede de transmission de donnees utilisant des codes de bloc espace-temps

Pour transmettre des donnees, on utilise un ensemble d'au moins 2m nxn matrices qui represent... more Pour transmettre des donnees, on utilise un ensemble d'au moins 2m nxn matrices qui representent une extension d'un groupe exempt de point fixe. A chacune de 2m des matrices est affecte un des nombres binaires compris entre 0 et 2m-1. Les donnees sont mappees dans les matrices conformement a l'affectation (12). Les matrices mappees sont transmises, de preference a l'aide de n antennes (16,18), une antenne par rangee de chaque matrice .

Research paper thumbnail of Elements of Trace Zero in Central Simple Algebras

Research paper thumbnail of Maximum Velocity on a Car Trip: 11215

Research paper thumbnail of Problem 11215

Research paper thumbnail of Locally inner automorphisms and automorphisms of Azumaya Algebras

Research paper thumbnail of Global of Crossed

Research paper thumbnail of Non cyclic division algebras of prime degree

arXiv: Rings and Algebras, 2020

This paper shows that ppp primary components of certain generic crossed products are not crossed ... more This paper shows that ppp primary components of certain generic crossed products are not crossed products. This applies in particular to primary components of prime degree, thus producing examples of division algebras of prime degree that are not cyclic.

Research paper thumbnail of Method of Transmitting Data Using Space Time Block Codes

Research paper thumbnail of The Schur multiplier of

Journal of Pure and Applied Algebra, 2005

Research paper thumbnail of The equation x1a1...xnan = 1 in a free group

Comptes Rendus De L Academie Des Sciences Serie 1 Mathematique, 1995

Research paper thumbnail of Generic matrices, <span class="katex"><span class="katex-mathml"><math xmlns="http://www.w3.org/1998/Math/MathML"><semantics><mrow><msub><mi>K</mi><mn>2</mn></msub></mrow><annotation encoding="application/x-tex">K_2</annotation></semantics></math></span><span class="katex-html" aria-hidden="true"><span class="base"><span class="strut" style="height:0.8333em;vertical-align:-0.15em;"></span><span class="mord"><span class="mord mathnormal" style="margin-right:0.07153em;">K</span><span class="msupsub"><span class="vlist-t vlist-t2"><span class="vlist-r"><span class="vlist" style="height:0.3011em;"><span style="top:-2.55em;margin-left:-0.0715em;margin-right:0.05em;"><span class="pstrut" style="height:2.7em;"></span><span class="sizing reset-size6 size3 mtight"><span class="mord mtight">2</span></span></span></span><span class="vlist-s">​</span></span><span class="vlist-r"><span class="vlist" style="height:0.15em;"><span></span></span></span></span></span></span></span></span></span>, and unirational fields

Bulletin of the American Mathematical Society, 1975

Research paper thumbnail of The splitting data of cohomology classes

Research paper thumbnail of The goldie rank of virtually polycyclic groups

Lecture Notes in Mathematics, 1981

Research paper thumbnail of Free amalgams of rank two

Proceedings of the American Mathematical Society, 1995

For every n > 1 and m > 1 we construct an amalgamated free product U *w V which is free of rank 2... more For every n > 1 and m > 1 we construct an amalgamated free product U *w V which is free of rank 2, while U is (free) of rank n , V is of rank m , and W is, necessarily, of rank n + m-2 .

Research paper thumbnail of A note on symmetric functions in Formanek polynomials

Proceedings of the American Mathematical Society, 1975

Research paper thumbnail of Ideals of finite codimension in free algebras and the fc-localization

Pacific Journal of Mathematics, 1994

The topology defined by all finite codimensional right ideals has interesting properties in the c... more The topology defined by all finite codimensional right ideals has interesting properties in the case of the free algebra and the group ring of a free group. Its open ideals are precisely the finitely generated essential ones. Finitely generated right ideals are closed and the Leavitt numbers of the associated localization are 1 and n-1. The proofs are, for the most part, applications of Schreier's method.

Research paper thumbnail of A vanishing theorem for Euler characteristics

Mathematische Zeitschrift, 1984

... A Vanishing Theorem for Euler Characteristics Shmuel Rosset Department of Mathematics, Tel-Av... more ... A Vanishing Theorem for Euler Characteristics Shmuel Rosset Department of Mathematics, Tel-Aviv University, Ramat Aviv, 69978 Tel Aviv, Israel o Let X be a finite aspherical polyhedron. ... Then F&#x27;g= E FJ~gj~=(Z Fjgjrj)&#x27;f is in the intersection, as desired. ...

Research paper thumbnail of An invariant of free central extensions

Journal of Pure and Applied Algebra, 1987

Research paper thumbnail of Some non-finitely presented Lie Algebras

arXiv (Cornell University), Nov 27, 1996

Let L be a free Lie algebra over a field k, I a non-trivial proper ideal of L, n > 1 an integer. ... more Let L be a free Lie algebra over a field k, I a non-trivial proper ideal of L, n > 1 an integer. The multiplicator H 2 (L/I n , k) of L/I n is not finitely generated, and so in particular, L/I n is not finitely presented, even when L/I is finite dimensional.

Research paper thumbnail of Elements of Trace Zero in Central Simple Algebras

Research paper thumbnail of Procede de transmission de donnees utilisant des codes de bloc espace-temps

Pour transmettre des donnees, on utilise un ensemble d'au moins 2m nxn matrices qui represent... more Pour transmettre des donnees, on utilise un ensemble d'au moins 2m nxn matrices qui representent une extension d'un groupe exempt de point fixe. A chacune de 2m des matrices est affecte un des nombres binaires compris entre 0 et 2m-1. Les donnees sont mappees dans les matrices conformement a l'affectation (12). Les matrices mappees sont transmises, de preference a l'aide de n antennes (16,18), une antenne par rangee de chaque matrice .

Research paper thumbnail of Elements of Trace Zero in Central Simple Algebras

Research paper thumbnail of Maximum Velocity on a Car Trip: 11215

Research paper thumbnail of Problem 11215

Research paper thumbnail of Locally inner automorphisms and automorphisms of Azumaya Algebras

Research paper thumbnail of Global of Crossed

Research paper thumbnail of Non cyclic division algebras of prime degree

arXiv: Rings and Algebras, 2020

This paper shows that ppp primary components of certain generic crossed products are not crossed ... more This paper shows that ppp primary components of certain generic crossed products are not crossed products. This applies in particular to primary components of prime degree, thus producing examples of division algebras of prime degree that are not cyclic.

Research paper thumbnail of Method of Transmitting Data Using Space Time Block Codes

Research paper thumbnail of The Schur multiplier of

Journal of Pure and Applied Algebra, 2005

Research paper thumbnail of The equation x1a1...xnan = 1 in a free group

Comptes Rendus De L Academie Des Sciences Serie 1 Mathematique, 1995

Research paper thumbnail of Generic matrices, <span class="katex"><span class="katex-mathml"><math xmlns="http://www.w3.org/1998/Math/MathML"><semantics><mrow><msub><mi>K</mi><mn>2</mn></msub></mrow><annotation encoding="application/x-tex">K_2</annotation></semantics></math></span><span class="katex-html" aria-hidden="true"><span class="base"><span class="strut" style="height:0.8333em;vertical-align:-0.15em;"></span><span class="mord"><span class="mord mathnormal" style="margin-right:0.07153em;">K</span><span class="msupsub"><span class="vlist-t vlist-t2"><span class="vlist-r"><span class="vlist" style="height:0.3011em;"><span style="top:-2.55em;margin-left:-0.0715em;margin-right:0.05em;"><span class="pstrut" style="height:2.7em;"></span><span class="sizing reset-size6 size3 mtight"><span class="mord mtight">2</span></span></span></span><span class="vlist-s">​</span></span><span class="vlist-r"><span class="vlist" style="height:0.15em;"><span></span></span></span></span></span></span></span></span></span>, and unirational fields

Bulletin of the American Mathematical Society, 1975

Research paper thumbnail of The splitting data of cohomology classes

Research paper thumbnail of The goldie rank of virtually polycyclic groups

Lecture Notes in Mathematics, 1981

Research paper thumbnail of Free amalgams of rank two

Proceedings of the American Mathematical Society, 1995

For every n > 1 and m > 1 we construct an amalgamated free product U *w V which is free of rank 2... more For every n > 1 and m > 1 we construct an amalgamated free product U *w V which is free of rank 2, while U is (free) of rank n , V is of rank m , and W is, necessarily, of rank n + m-2 .

Research paper thumbnail of A note on symmetric functions in Formanek polynomials

Proceedings of the American Mathematical Society, 1975

Research paper thumbnail of Ideals of finite codimension in free algebras and the fc-localization

Pacific Journal of Mathematics, 1994

The topology defined by all finite codimensional right ideals has interesting properties in the c... more The topology defined by all finite codimensional right ideals has interesting properties in the case of the free algebra and the group ring of a free group. Its open ideals are precisely the finitely generated essential ones. Finitely generated right ideals are closed and the Leavitt numbers of the associated localization are 1 and n-1. The proofs are, for the most part, applications of Schreier's method.

Research paper thumbnail of A vanishing theorem for Euler characteristics

Mathematische Zeitschrift, 1984

... A Vanishing Theorem for Euler Characteristics Shmuel Rosset Department of Mathematics, Tel-Av... more ... A Vanishing Theorem for Euler Characteristics Shmuel Rosset Department of Mathematics, Tel-Aviv University, Ramat Aviv, 69978 Tel Aviv, Israel o Let X be a finite aspherical polyhedron. ... Then F&#x27;g= E FJ~gj~=(Z Fjgjrj)&#x27;f is in the intersection, as desired. ...

Research paper thumbnail of An invariant of free central extensions

Journal of Pure and Applied Algebra, 1987