Publications
of Piotr Grzeszczuk

Published papers:

- Locally nilpotent skew extensions of rings, Preprint arXiv
- On the generic family of Cayley graphs of a finite group, Preprint, (with Czesław Bagiński) arXiv
- On the semiprimitivity of free skew extensions of rings,
*J. Pure Appl. Algebra*, (2020), https://doi.org./10.1016/j.jpaa.2020.106307 (with Jeffrey Bergen) arXiv - Classical radicals of invariants
of algebraic skew derivations,
*Algebra Colloquium,*to appear (with Jeffrey Bergen) - Jacobson radicals of invariants under Hopf algebra actions,
*J. Algebra and its Applications,***17****(7)**(2018), 1850132, 10 pp. (with Jeffrey Bergen) - Locally nilpotent skew derivations with central invariants,
*J. Algebra,*483 (2017)*,*71-82. (with Jeffrey Bergen) - Skew derivations with algebraic invariants of bounded degree,
*J. Algebra,*447*,*455-467. (with Jeffrey Bergen) DOI - Invariants of domains with finite GK dimension, Monatshefte für Mathematik, 179, (2016), 191-199. (with Jeffrey Bergen) DOI
- Gelfand-Kirillov dimension of algebras with
locally nilpotent derivations,
*Israel J. Math.*206 (2015), no. 1, 313-325. (with Jeffrey Bergen) DOI - GK dimension and locally nilpotent skew derivations, Glasgow Mathematical Journal, 57(3) (2015), 555-567. (with Jeffrey Bergen) DOI
- On the Jacobson
radical of constants of derivations,
*J. Algebra*401 (2014), 62-75. DOI - On irreducible modules over q-skew
polynomial rings and smash products,
*Proc. Amer. Math. Soc.*142 (2014), no. 1, 59-69. PDF DOI - Skew derivations and the nil and prime radicals,
*Colloquium Mathematicum,*128 (2012), no. 2, 229-236. (with Jeffrey Bergen) PDF - Goldie dimension of constants of locally nilpotent
skew derivations,
*J. Algebra Appl.*11 (2012), no. 6, 1250105, 12 pp. (with Jeffrey Bergen) DOI PDF - Jacobson radicals of ring extensions,
*J. Pure Appl. Algebra*216 (2012), no. 12, 2601-2607. (with Jeffrey Bergen) DOI PDF - Skew power series rings of derivation type,
*J. Algebra Appl.*10 (2011), no. 6, 1383-1399. (with Jeffrey Bergen) PDF - On rings with locally nilpotent skew
derivations,
*Comm. Algebra*39 (2011), no. 10, 3698-3708. (with Jeffrey Bergen) PDF - Actions of Lie superalgebras on semiprime algebras with central invariants, Glasgow Mathematical Journal, 52 (2010), no. A, 93-102. (with Małgorzata Hryniewicka) PDF
- Actions of Lie superalgebras on reduced
rings,
*Algebr. Represent. Theory*11 (2008), no. 3, 251-273. (with Jeffrey Bergen and Małgorzata Hryniewicka) PDF - Finite block theory and Hopf algebra
actions,
*Algebr. Represent. Theory*11 (2008), no. 1, 1-23. (with Jeffrey Bergen) - Actions of pointed Hopf algebras with reduced PI
invariants,
*Proc. Amer. Math. Soc.*135 (2007), no. 8, 2381-2389. (with Małgorzata Hryniewicka) - Smash products satisfying a polynomial
identity,
*Comm. Algebra*33 (2005), no. 1, 221-233. (with Jeffrey Bergen) - Polynomial identities of algebras with actions of
pointed Hopf algebras,
*J. Algebra*278 (2004), no. 2, 684-703. (with Małgorzata Hryniewicka) - Invariants of semisimple Lie algebras acting on
associative algebras,
*Proc. Amer. Math. Soc.*131 (2003), no. 3, 709-717. - The prime radical of constants of algebraic q-skew
derivations,
*Comm. Algebra*30 (2002), no. 11, 5331-5343. (with Jerzy Matczuk) - Simple Jordan color algebras arising from
associative graded algebras,
*J. Algebra*246 (2001), no. 2, 915-950. (with Jeffrey Bergen) - Artinian property of constants of algebraic q-skew
derivations,
*Israel J. Math.*121 (2001), 265-284. (with Andre Leroy and Jerzy Matczuk) - Skew derivations whose invariants satisfy a
polynomial identity,
*J. Algebra*228 (2000), no. 2, 710-737. (with Jeffrey Bergen) - Invariants of Lie color algebras acting on graded
algebras,
*Colloq. Math.*83 (2000), no. 1, 107-124. (with Jeffrey Bergen) - Skew derivations with central invariants,
*J. London Math. Soc. (2)*59 (1999), no. 1, 87-99. (with Jeffrey Bergen) - Invariants of U
_{q}(sl_{2}) and q-skew derivations, Ring theory (Miskolc, 1996).*J. Pure Appl. Algebra*133 (1998), no. 1-2, 27-38. (with Jeffrey Bergen) - On finiteness conditions of modular
lattices,
*Comm. Algebra*26 (1998), no. 9, 2949-2957. (with Edmund R. Puczylowski) - Invariants of skew derivations,
*Proc. Amer. Math. Soc.*125 (1997), no. 12, 3481-3488. (with Jeffrey Bergen) - Invariants of Lie superalgebras acting on
associative algebras,
*Israel J. Math.*94 (1996), 403-428. (with Jeffrey Bergen) - Gradings, derivations, and automorphisms of nearly
associative algebras,
*J. Algebra*179 (1996), no. 3, 732-750. (with Jeffrey Bergen) - A radical of lattices and its applications to
rings and modules,
*Contributions to general algebra, 9 (Linz, 1994),*203-212,*Hölder-Pichler-Tempsky, Vienna,*1995. (with Edmund R. Puczylowski) - On derivations with powers vanishing on one-sided
ideals,
*Chinese J. Math.*23 (1995), no. 4, 311-317. - Actions of Lie algebras on rings without nilpotent
elements,
*Algebra Colloq.*2 (1995), no. 2, 105-116. (with Kostia Beidar) - On constants of algebraic derivations and fixed
points of algebraic automorphisms,
*J. Algebra*171 (1995), no. 3, 826-844. - Engel-type theorems for Lie color algebras,
*Rings, extensions, and cohomology (Evanston, IL, 1993),*31-33, Lecture Notes in Pure and Appl. Math., 159,*Dekker, New York,*1994. (with Jeffrey Bergen) - Goldie conditions for constants of algebraic
derivations of semiprime algebras,
*Israel J. Math.*83 (1993), no. 3, 329-342. (with Jerzy Matczuk) - Constants of algebraic derivations,
*Comm. Algebra*21 (1993), no. 6, 1857-1868. - The Goldie dimension of some extensions of modular
lattices,
*Proceedings of the International Conference on Algebra, Part 3 (Novosibirsk, 1989),*111-119, Contemp. Math., 131, Part 3,*Amer. Math. Soc., Providence, RI,*1992. - On nilpotent derivations of semiprime rings,
*J. Algebra*149 (1992), no. 2, 313-321. - The Gabriel dimension is not autodual,
*Comm. Algebra*18 (1990), no. 8, 2587-2594. - Relations between some dimensions of modular
lattices,
*Comm. Algebra*17 (1989), no. 7, 1723-1737. (with Jan Okninski and Edmund R. Puczylowski) - Gabriel and Krull dimensions of modules over rings
graded by finite groups,
*Proc. Amer. Math. Soc.*105 (1989), no. 1, 17-24. (with Edmund R. Puczylowski) - Dual Gabriel dimension of modules with
derivations,
*Comm. Algebra*16 (1988), no. 8, 1689-1699. - Goldie dimension of differential operator rings,
*Comm. Algebra*16 (1988), no. 4, 689-701. - On derivations of finite index chain conditions,
dimensions and radicals,
*Israel J. Math.*58 (1987), no. 1, 54-66. - Goldie dimension and chain conditions for modular
lattices with finite group actions,
*Canad. Math. Bull.*29 (1986), no. 3, 274-280. (with Edmund R. Puczylowski) - On G-systems
and G-graded rings,
*Proc. Amer. Math. Soc.*95 (1985), no. 3, 348-352. - On infinite Goldie dimension of modular lattices
and modules,
*J. Pure Appl. Algebra*35 (1985), no. 2, 151-155. (with Edmund R. Puczylowski) - On Goldie and dual Goldie dimensions,
*J. Pure Appl. Algebra*31 (1984), no. 1-3, 47-54. (with Edmund R. Puczylowski)