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pro vyhledávání: '"Mohan S. Putcha"'
Autor:
Mohan S. Putcha
Publikováno v:
International Journal of Mathematics and Mathematical Sciences, Vol 4, Iss 4, Pp 667-690 (1981)
Using some results on linear algebraic groups, we show that every connected linear algebraic semigroup S contains a closed, connected diagonalizable subsemigroup T with zero such that E(T) intersects each regular J-class of S. It is also shown that t
Externí odkaz:
https://doaj.org/article/f074c7b23e7d43daa8f63b37943ea08c
Autor:
Mohan S. Putcha, Adil Yaqub
Publikováno v:
International Journal of Mathematics and Mathematical Sciences, Vol 2, Iss 1, Pp 121-126 (1979)
Let R be a ring and let N denote the set of nilpotent elements of R. Let n be a nonnegative integer. The ring R is called a θn-ring if the number of elements in R which are not in N is at most n. The following theorem is proved: If R is a θn-ring,
Externí odkaz:
https://doaj.org/article/f7f74bfa8a5d4f9ea60a74e7e8332a83
Autor:
Mohan S. Putcha
Publikováno v:
International Journal of Mathematics and Mathematical Sciences, Vol 5, Iss 1, Pp 205-207 (1982)
Externí odkaz:
https://doaj.org/article/d002dbcfcff1484299eeb5b7e98dfb1d
Autor:
Mohan S. Putcha
This book provides an introduction to the field of linear algebraic monoids. This subject represents a synthesis of ideas from the theory of algebraic groups, algebraic geometry, matrix theory and abstract semigroup theory. Since every representation
Autor:
Mohan S. Putcha
Publikováno v:
Semigroup Forum. 95:366-378
We continue the study of the local structure of monoids in which \(\mathscr {J}\)-related idempotents are conjugate. For a regular \(\mathscr {J}\)-class J, its Graham blocks of idempotents are determined in terms of the associated parabolic subgroup
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::97caa14da1463c0b87d688f2851f9bac
https://doi.org/10.1007/s00233-016-9818-5
https://doi.org/10.1007/s00233-016-9818-5
Autor:
Mohan S. Putcha
Publikováno v:
Forum Mathematicum. 26:323-335
Let M be a reductive monoid. If e is an idempotent in M, we prove that the centralizer M(e) of e in M is a regular monoid with a finite graded poset of 𝒥-classes. We compute this poset explicitly when M is of canonical or dual canonical type and e
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::4ea5537264296727adbf2f18fd40f3a1
https://doi.org/10.1515/form.2011.163
https://doi.org/10.1515/form.2011.163
Autor:
Mohan S. Putcha
Publikováno v:
International Journal of Algebra and Computation. 21:433-448
It is well known that in a reductive group, the Borel subgroup is a product of the maximal torus and the one-dimensional positive root subgroups. The purpose of this paper is to find an analog of this result for reductive monoids. Via a study of redu
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::40d7ea9755d889662ffee0133bbe71ea
https://doi.org/10.1142/s0218196711006261
https://doi.org/10.1142/s0218196711006261
Autor:
Mohan S. Putcha
Publikováno v:
Semigroup Forum. 83:65-74
We define abstract canonical semigroups modeled after the canonical reductive monoids associated with the canonical compactification of a group of adjoint type. It then becomes possible for us to come up with semigroups having some of the algebraic p
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::1ba1afdce54c41a5379c4620c2cd6d77
https://doi.org/10.1007/s00233-011-9307-9
https://doi.org/10.1007/s00233-011-9307-9
Autor:
Mohan S. Putcha
Publikováno v:
Semigroup Forum. 75:543-553
Let M be a finite monoid with unit group G. By the work of Munn and Ponizovski, the irreducible complex representations of M are classified according to which J-class (apex) they come from. Consider the irreducible representations of M with apex \(\n
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::4b1d5379eb7ebfefe677c39b96653ce8
https://doi.org/10.1007/s00233-007-0715-9
https://doi.org/10.1007/s00233-007-0715-9
Autor:
Mohan S. Putcha
Publikováno v:
Journal of Algebraic Combinatorics. 27:275-292
In this paper we study the variety M nil of nilpotent elements of a reductive monoid M. In general this variety has a completely different structure than the variety G uni of unipotent elements of the unit group G of M. When M has a unique non-trivia
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::3417526e2ff2f5e89dc1426e48e01b9e
https://doi.org/10.1007/s10801-007-0087-y
https://doi.org/10.1007/s10801-007-0087-y